Tetrahedral and Triangle Methods

MESHING
RESEARCH
CORNER

Ahmad, N., T. Dunn, D. Mays, D. Bacon, M. Hall, R. A. Sauna, Z. Boybeyi, P. Lee, M. Turner.

"A Solution-Adaptive Grid Generation Scheme for Atmospheric Flow Simulations", Numerical Grid Generation in Computational Field Simulations, Ed. M. Cross., B. K. Soni, J. F. Thompson, J. Hauser, P. R. Eiseman, Proceedings of the 6th International Conference, held at the University of Greenwich, pp.327-335, July 1998
keywords:


atmospheric simulation	adaptivity
triangle

Abstract

"Automatic Triangular Mesh Generation Scheme for Curved Surfaces", Communications in Numerical Methods in Engineering, John Wiley & Sons, Ltd, Vol 12, pp.197-208, 1996
keywords:


advancing front	surface meshing
surface patches	triangle

Abstract

"Directional adaptive surface triangulation", Computer Aided Geometric Design, Elsevier, Vol 16, pp.107-126, 1999
keywords:


surface meshing	directional curvature bounds
adaptivity	constrained Delaunay
Delaunay	triangle

Abstract

"Locally adapted tetrahedral meshes using bisection", Submitted to SIAM Journal on Scientific Computing, SIAM, 1997
keywords:


data structure	refinement
tetrahedron

Abstract

"The Cost of Compatible Refinement of Simplex Decomposition Trees", Proceedings, 15th International Meshing Roundtable, Springer-Verlag, pp.57-70, September 17-20 2006
keywords:


compatible refinement	conformal mesh
decomposition tree	data structures
triangle

Abstract
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"Object-oriented three-dimensional hybrid grid generation", International Journal for Numerical Methods in Engineering, John Wiley & Sons, Ltd., Vol 58, Num 2, pp.301-318, July 2003
keywords:


Delaunay triangulation	hybrid meshing
model definition	object-oriented design
semi-structured grids

Abstract

"Automatic unstructured surface mesh generation based on a hierarchal approach", Numerical Grid Generation in Computational Field Simulations, The International Society of Grid Generation, pp.3-16, June 2002
keywords:


automatic surface mesh generation	Delaunay triangulation
hierarchical

Abstract

"Robust, Geometrically Based, Automatic Two-Dimensional Mesh Generation", International Journal for Numerical Methods in Engineering, Wiley, Vol 24, pp.1043-1078, 1987
keywords:


quadrilateral	quadtree
triangle

Abstract

"Surface and 3D Triangular Meshes from Planar Cross Sections", 5th International Meshing Roundtable, Sandia National Laboratories, pp.169-178, October 1996
keywords:


medical	surface reconstruction
tetrahedron	triangle

Abstract
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"Algorithmic and Implementation Aspects of Generating Isotropic and Anisotropic Tetrahedral Meshes", 2nd Symposium on Trends in Unstructured Mesh Generation, University of Colorado, Boulder, August 1999
keywords:


anisotropy	tetrahedra
size control	non-manifold
boundary constrained

Abstract

"Identification and Preservation of Surface Features", Proceedings, 13th International Meshing Roundtable, Williamsburg, VA, Sandia National Laboratories, SAND #2004-3765C, pp.299-310, September 19-22 2004
keywords:


surface triangulation	feature extraction
surface projection

Abstract
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"Pruning of Surface Triangulations based on Local Curvature", Numerical Grid Generation in Computational Field Simulations, The International Society of Grid Generation, pp.17-26, June 2002
keywords:


curvature	local curvature
pruning	surface triangulation

Abstract

"Generation of Tetrahedral Meshes around Complete Aircraft", Numerical Grid Generation in Computational Fluid Mechanics `88, Pineridge Press, pp.675-684, 1988
keywords:


Delaunay	CFD
triangulation	tetrahedra

Abstract

"Automatic Mesh Generation for Complex Three-Dimensional Regions Using a Constrained Delaunay Triangulation", Engineering with Computers, Springer-Verlag, Num 5, pp.161-175, 1989
keywords:


Delaunay triangulation	finite elements
tetrahedron	three-dimensional

Abstract

"Mesh Movement and Metamorphosis", Proceedings, 10th International Meshing Roundtable, Sandia National Laboratories, pp.387-396, October 7-10 2001
keywords:


tetrahedra	mesh movement
adaptation	coarsening
refinement	moving boundary
metamorphosis

Abstract
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"Element Quality in Tetrahedral Meshes", Proceedings of the 7th International Conference on Finite Element Methods in Flow Problems, pp.1018-1024, April 1989
keywords:


mesh generation	quality
tetrahedron	triangles

Abstract

"Tetrahedral Mesh Generation and Optimization", Numerical Grid Generation in Computational Field Simulations, Ed. M. Cross., B. K. Soni, J. F. Thompson, J. Hauser, P. R. Eiseman, Proceedings of the 6th International Conference, held at the University of Greenwich, pp.337-349, July 1998
keywords:


tetrahedra	Delaunay
boundary constrained	point insertion
mesh improvement	clean-up

Abstract

"A Direct Smoothing Method For Surface Meshes", Proceedings, 8th International Meshing Roundtable, South Lake Tahoe, CA, U.S.A., pp.189-193, October 1999
keywords:


mesh smoothing	direct method
surface mesh	quadrilateral
triangular

Abstract
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"An Algorithm for Coarsening Unstructured Meshes", Numerische Mathematik, Vol 73, 1996
keywords:


coarsening	refinement
triangle

Abstract

"Mesh Smoothing Using A Posteriori Error Estimates", SIAM J. Numerical Analysis, Elsevier, Vol 34, pp.979-997, 1997
keywords:


adaptivity	smoothing
triangle

Abstract

"An Adaptive Unstructured Mesh Method for Transient Flows Involving Moving Boundaries", 2nd Symposium on Trends in Unstructured Mesh Generation, University of Colorado, Boulder, August 1999
keywords:


adaptivity	CFD
moving boundary	tetrahedra
Delaunay

Abstract

"Sparse Voronoi Refinement", Proceedings, 15th International Meshing Roundtable, Springer-Verlag, pp.339-356, September 17-20 2006
keywords:


vornonoi	polyhedra
sparse voronoi refinement	delaunay

Abstract
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"A Comparison of All-Hexahedral and All-Tetrahedral Finite Element Meshes for Elastic and Elasto-Plastic Analysis", Proceedings, 4th International Meshing Roundtable, Sandia National Laboratories, pp.179-191, October 1995
keywords:


error bounds	finite elements
hexahedron	tetrahedron

Abstract
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"A Hybrid Meshing Scheme Based on Terrain Feature Identification", Proceedings, 14th International Meshing Roundtable, Springer-Verlag, pp.129-146, September 11-14 2005
keywords:


terrain feature analysis	breakline identification
hybrid	b-spline surfaces
irregular triangle meshes	hydrodynamic simulations

Abstract
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"Mesh Generation and Optimal Triangulation", Computing in Euclidean Geometry Eds. D.Z. Du and F.K. Hwang, World Scientific Publishing Co., pp.23-90
keywords:


Delaunay	Steiner Points
tetrahedron	triangulation

Abstract

"Linear-size Nonobtuse Triangulation of Polygons", 10th Annual Symposium on Computational Geometry
keywords:


angle	mesh generation
recursive subdivision	triangulation

Abstract

"Multilevel accelerated optimization for problems in grid generation", Proceedings, 12th International Meshing Roundtable, Sandia National Laboratories, pp.351-359, Sept. 2003
keywords:


smoothing	optimization
multilevel methods	coarsening
untangling	triangle
anisotropy

Abstract
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"Mesh Quality: A Function of Geometry, Error Estimates or Both", Proceedings, 7th International Meshing Roundtable, Sandia National Lab, pp.229-238, October 1998
keywords:


quality	error estimates
metric	tetrahedra

Abstract
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"Solution-Based Mesh Quality for Triangular and Tetrahedral Meshes.", Proceedings, 6th International Meshing Roundtable, Sandia National Laboratories, pp.427-436, October 1997
keywords:


quality	tetrahedra
triangle

Abstract

"Compact representations of simplicial meshes in two and three dimensions", Proceedings, 12th International Meshing Roundtable, Sandia National Laboratories, pp.135-146, Sept. 2003
keywords:


compression	data structures
large meshes	mesh representation
tetrahedra	triangle

Abstract
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"Reliable Delaunay-Based Mesh Generation and Mesh Improvement", Communications in Numerical Methods in Engineering, Wiley, Vol 10, pp.773-783, 1994
keywords:


boundary-constrained	Delaunay
refinement	relaxation
triangle	two-dimensional

Abstract

"Finite Element Mesh Generation from Constructive-Solid-Geometry Models", Computer Aided Design, Butterworth-Heinemann Ltd, Vol 5, Num 26, pp.379-392, May 1994
keywords:


CSG	tetrahedron
triangulation

Abstract

"Robust Construction of 3-D Conforming Delaunay Meshes Using Arbitrary-Precision Arithmetic", Proceedings, 14th International Meshing Roundtable, Springer-Verlag, pp.183-202, September 11-14 2005
keywords:


Delaunay	voronoi cells
arbitrary-precision arithmetic	CDT
constrained delaunay

Abstract
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"Guaranteed-quality triangular mesh generation for domains with curved boundaries", International Journal for Numerical Methods in Engineering, John Wiley & Sons, Ltd., Vol 55, Num 10, pp.1185 - 1213, December 2002
keywords:


Ruppertaposs Delaunay refinement

triangular mesh generation

Abstract

"Fast Delaunay triangulation in three dimensions", Computer methods in applied mechanics and engineering, Elsevier, Vol 128, pp.153-167, 1995
keywords:


Delaunay	point insertion
tetrahedron

Abstract

"Reasonably Efficient Delaunay Based Mesh Generator in 3 Dimensions", Proceedings 4th International Meshing Roundtable, Sandia National Laboratories, pp.3-14, October 1995
keywords:


Delaunay

tetrahedron

Abstract
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"Anisotropic adaptive mesh generation in two dimensions for CFD", 5th International Conference On Numerical Grid Generation in Computational Field Simulations, Mississppi State University, Vol 3, pp.197-206, April 1996
keywords:


adaptivity	anisotropy
CFD	Delaunay
triangle

Abstract

"Optimal Delaunay Point Insertion", International Journal for Numerical Methods in Engineering, Wiley, Vol 39, pp.3407-3437, 1996
keywords:


Delaunay	point insertion
tetrahedra	Voronoi

Abstract

"Boundary enforcement by facet splits in Delaunay based mesh generation.", Numerical Grid Generation in Computational Field Simulations, The International Society of Grid Generation, pp.203-221, September 2000
keywords:


Delaunay triangulation	triangular
triangulation

Abstract

"Adaptive Trangular-Quadrilateral Mesh Generation", International Journal for Numerical Methods in Engineering, Wiley, Vol 41, pp.915-934, 1998
keywords:


adaptivity	anisotropy
Delaunay triangulation	indirect quad meshing
quadrilateral	Riemannian structure

Abstract

"Aspects Of 2-D Delaunay Mesh Generation", International Journal for Numerical Methods In Engineering, Wiley, Vol 40, pp.1957-1975, 1997
keywords:


Delaunay	triangle
two-dimensional	node placement
boundary constrained	edge recovery
data structure

Abstract

"Unstructured Triangular-Quadrilateral Mesh Generation. Application to Surface Meshing.", 5th International Meshing Roundtable, Sandia National Laboratories, pp.229-242, October 1996
keywords:


adaptivity	anisotropy
quadrilateral	surface meshing
triangle

Abstract
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"Parametric surface meshing using a combined advancing-front generalized Delaunay approach", International Journal for Numerical Methods in Engineering, John Wiley, Vol 49, Num 1, pp.233-259, September 10-20 2000
keywords:


parametric surface	surface meshing
anisotropy	Riemannian metric
advancing front	Delaunay
adaptivity	triangle

Abstract

"An Approach for Delaunay Tetrahedralization of Bodies with Curved Boundaries", Proceedings, 14th International Meshing Roundtable, Springer-Verlag, pp.221-238, September 11-14 2005
keywords:


Delaunay	curved boundary
boundary recovery	CDT
tetrahedra	parametric models

Abstract
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"A Pliant Method for Anisotropic Mesh Generation", 5th International Meshing Roundtable, Sandia National Laboratories, pp.63-76, October 1996
keywords:


anisotropy	bubble
sphere packing	triangle

Abstract
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"Computing Dirichlet Tessellations", The Computer Journal, Heyden & Sons Ltd, Vol 2, Num 24, pp.162-166, 1981
keywords:


Delaunay triangulation	Dirichlet tessellation
n-dimensional	triangulation

Abstract

"A Hole-Filling Algorithm for Triangular Meshes Using Local Radial Basis Function", Proceedings, 15th International Meshing Roundtable, Springer-Verlag, pp.411-432, September 17-20 2006
keywords:


hole filling	triangles
faceted surfaces	facet repair
dirty geometry

Abstract
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"Vertex based data dependant triangulations", Computer Aided Geometric Design, North-Holland, Num 8, pp.239-251, 1991
keywords:


data-dependant triangulation	triangulation
two-dimensional

"Vertex based data dependent triangulations", Computer Aided Geometric Design, North-Holland, Vol 8, pp.239-251, 1997
keywords:


data dependent triangulation	triangulation
interpolation

Abstract

"Using the Schwarz-Christoffel Transformation in Mesh Generation for the Solution of Two-Dimensional Problems", Computers In Mechanical Engineering, CIME Research Supplement, pp.73-79, August 1982
keywords:


conformal mapping

triangle

Abstract

"A Three-Dimensional Unstructured Mesh Generator for Arbitrary Internal Boundaries", Numerical Grid Generation in Computational Fluid Mechanics `88, Pineridge Press, pp.621-631, 1988
keywords:


tetrahedra	modified octree method
octree

Abstract

"Rapid Meshing of Turbomachinery Rows Using Semi-Unstructured Conformal Grids", Proceedings, 15th International Meshing Roundtable, Springer-Verlag, pp.93-108, September 17-20 2006
keywords:


hybrid	delaunay
semi-unstructured	turbomachinery

Abstract
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"Toward quality surface meshing", Proceedings, 12th International Meshing Roundtable, Sandia National Laboratories, pp.201-213, Sept. 2003
keywords:


surface meshing	size map
curvature adaptation	triangle
domain decomposition

Abstract
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"Topological Refinement Procedures for Triangular Finite Element Meshes", Engineering with Computers, Springer-Verlag, Vol 12, pp.243-255, December 1996
keywords:


clean-up	refinement
topology	triangle

Abstract

"Topological Refinement Procedures for Triangular Finite Element Meshes", MSC/PDA, 1994
keywords:


clean-up	finite elements
refinement	triangle
two-dimensional

Abstract

"An Approach to Combined Laplacian and Optimization-Based Smoothing for Triangular, Quadrilateral, and Quad-Dominant Meshes", 7th International Meshing Roundtable, Sandia National Labs, pp.479-494, October 1998
keywords:


smoothing	Laplacian smoothing
optimization-based smoothing	triangle
quadrilateral	metric

Abstract
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"Automatic 3D Surface Meshing to Address Today's Industrial Needs", 1996
keywords:


commercial	overview
tetrahedron	triangle

Abstract

"A Bezier-Based Moving Mesh Framework for Simulation with Elastic Membranes", Proceedings, 13th International Meshing Roundtable, Williamsburg, VA, Sandia National Laboratories, SAND #2004-3765C, pp.71-80, September 19-22 2004
keywords:


Bezier triangles	B-Splines
moving meshes	immersed Boundary
navier-Stokes	blood flow
evolving meshes

Abstract
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"New Progress in Anisotropic Grid Adaptation for Inviscidand Viscous Flows Simulations", INRIA Report No. 2671, INRIA, October 1995
keywords:


anisotropy	adaptivity
CFD	Navier Stokes
Delaunay	Reimann metric

Abstract

"Anisotropic Surface Mesh Generation", INRIA Report No. 2672, INRIA, pp.31, October 1995
keywords:


anisotropy	surface meshing
surface interpolation	triangles

Abstract

"New Progress in Anisotropic Grid Adaptation for Inviscid and Viscous Flows Simulations", Proceedings, 4th International Meshing Roundtable, Sandia National Laboratories, pp.73-85, October 1995
keywords:


adaptivity	anisotropy
CFD	Delaunay
metric

Abstract
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"Three-Dimensinoal Constrained Delaunay Triangulation: A Minimalist Approach", Proceedings, 8th International Meshing Roundtable, South Lake Tahoe, CA, U.S.A., pp.119-129, October 1999
keywords:


Delaunay	constrained triangulation
three-dimensional	industrial strength triangulations
tetrahedra	computational geometry

Abstract
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"Feature-Based Design and Finite Element Mesh Generation For Functional Surfaces", Advances in Engineering Software, Elsevier, Vol 13, Num 5, pp.226-237, 1991
keywords:


Delaunay	finite elements
surface mesh	surface patches
triangulation	two-dimensional

Abstract

"Automatic Triangulation of Arbitrary Planar Domains For The Finite Element Method", International Journal For Numerical Methods in Engineering, John Wiley, Num 8, pp.679-696, 1974
keywords:


finite elements	node generation
triangulation	two-dimensional

"An Approach to Automatic Three-Dimensional Finite Element Mesh Generation", International Journal for Numerical Methods in Engineering, John Wiley and Sons, Ltd, Num 21, pp.329-347, 1985
keywords:


CAD	Delaunay triangulation
finite elements	tetrahedron
three-dimensional

"Terahedral Meshing Algorithm Using Basic Operators", Proceedings, 4th International Meshing Roundtable, Sandia National Laboratories, pp.305-318, October 1995
keywords:


advancing front

tetrahedron

Abstract

"An Automatic Tetrahedral Mesh Generation Scheme by the Advancing Front Method", Communications in Numerical Methods in Engineering, Wiley, Vol 13, pp.33-46, 1997
keywords:


advancing front	Bezier patches
tetrahedron

Abstract

"Triangulating a Nonconvex Polytope", Discrete and Computational Geometry, Springer-Verlag, Vol 5, pp.505-526, 1990
keywords:


non-convex	polytope
tetrahedron	triangulation

Abstract

"Delaunay Triangulation for Curved Surfaces", Proceedings, 6th International Meshing Roundtable, Sandia National Laboratories, pp.115-127, October 1997
keywords:


anisotropy	curvature
Delaunay	parametric mapping
Riemann	surface meshing
triangle

Abstract
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"Mesh Smoothing Schemes Based on Optimal Delaunay Triangulations", Proceedings, 13th International Meshing Roundtable, Williamsburg, VA, Sandia National Laboratories, SAND #2004-3765C, pp.109-120, September 19-22 2004
keywords:


anisotropic mesh adaptation	Delaunay
Voronoi tessellation	smoothing

Abstract
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"Genetic Algorithms for Optimized Re-Triangulation in the Context of Reverse Engineering", Computer-Aided Design, Elsevier Science, Num 31, pp.261-271, 1999
keywords:


rapid prototyping	triangulation
genetic algorithms	reverse engineering

Abstract

"Quadtree/Octree Meshing with Adaptive Analysis", Numerical Grid Generation in Computational Fluid Mechanics `88, Pineridge Press, pp.633-642, 1988
keywords:


octree	quadtree
adaptivity	Delaunay
triangle	tetrahedra

Abstract

"Weighted Delaunay Refinement for Polyhedra with Small Angles", Proceedings, 14th International Meshing Roundtable, Springer-Verlag, pp.325-342, September 11-14 2005
keywords:


computational geometry	Delaunay refinement
sliver	weighted Delaunay triangulation.

Abstract
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"Parallel 2D Graded Guaranteed Quality Delaunay Mesh Refinement", Proceedings, 14th International Meshing Roundtable, Springer-Verlag, pp.505-517, September 11-14 2005
keywords:


parallel	Delaunay
refinement

Abstract
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"Generalized Delaunay Mesh Refinement: From Scalar to Parallel", Proceedings, 15th International Meshing Roundtable, Springer-Verlag, pp.563-579, September 17-20 2006
keywords:


parallel

delaunay

Abstract
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"Guaranteed-Quality Mesh Generation for Curved Surfaces", 9th Annual Comptutational Geometry, Vol 73, 1993
keywords:


curvature	Delaunay
surface meshing	triangle

Abstract

"Parallel Constrained Delaunay Meshing", AMD-Vol. 220 Trends in Unstructured Mesh Generation, ASME, pp.89-96, July 1997
keywords:


constrained	Delaunay
parallel

Abstract

"Guaranteed-Quality Triangular Meshes", TR 89-983, Department of Computer Science, Cornell University, Ithaca, NY, April 1989
keywords:


angle	Delaunay
guarantee	quality
triangle

Abstract

"Guaranteed-Quality Triangular Meshes", Department of Computer Science Tech Report 89-983, Cornell University, 1989
keywords:


Delaunay	quality
triangle	two-dimensional

Abstract

"Approximate development of trimmed patches for surface tessellation", computer-Aided Design, Elsevier, Vol 30, Num 14, pp.1077-1088, 1998
keywords:


trimmed parametric surface patch	surface tesselation
approximate locally isometric mapping	triangulation domain
surface meshing	triangle
parametric surface	parameterization

Abstract

"On the Parallelization of Guaranteed-Quality 3D Delaunay Mesh Generators", 2nd Symposium on Trends in Unstructured Mesh Generation, University of Colorado, Boulder, August 1999
keywords:


parallel

Delaunay

Abstract

"Simultaneous Mesh Generation and Partitioning for Delaunay Meshes", Proceedings, 8th International Meshing Roundtable, South Lake Tahoe, CA, U.S.A., pp.55-66, October 1999
keywords:


quality	partitioning
Delaunay	parallel

Abstract
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"Parallel Delaunay mesh generation kernel", International Journal for Numerical Methods in Engineering, John Wiley & Sons, Ltd., Vol 58, Num 2, pp.161-176, July 2003
keywords:


Delaunay triangulation	guranteed quality
latency tolerant algorithms	parallel computing

Abstract

"An Automatic Orthogonal/Cartesian Meshing With Local Refinement Tetrahedrons Near STL Boundary", Proceedings, 10th International Meshing Roundtable, Sandia National Laboratories, pp.99-110, October 7-10 2001
keywords:


cartesian	structured
refinement	STL
orthogonal grids	tetrahedron

Abstract
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"A Performance Study of Tetrahedral and Hexahedral Elements In 3-D Finite Element Structural Analysis", Finite Elements in Analysis and Design, Elsevier, Vol 12, pp.313-318, 1992
keywords:


comparison	hexahedra
performance	tetrahedra

Abstract

"A fast divide and conquer Delaunay triangulation algorithm in E^d", Computer-Aided Design, Elsevier, Vol 30, pp.333-341, 1998
keywords:


Delaunay	DeWall
divide and conquer	triangle

Abstract

"Dynamic Bubble System: An Automatic Mesh Generation System for 2D and 3D Finite Element Mesh Generation in Electromagnetic Field Computations", 2nd Symposium on Trends in Unstructured Mesh Generation, University of Colorado, Boulder, August 1999
keywords:


bubble	EMAG
tetrahedra	triangle

Abstract

"Intersecting and trimming parametric meshes on finite element shells", International Journal For Numerical Methods In Engineering, Elsevier, Vol 47, pp.777-800, 2000
keywords:


surface intersection	parametric representation
geometric modelling	topological data structures
constrained triangulation	mesh intersection

Abstract

"Mesh Modification Under Local Domain Changes", Proceedings, 15th International Meshing Roundtable, Springer-Verlag, pp.39-56, September 17-20 2006
keywords:


Delaunay	triangle
Steiner points	refinement

Abstract
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"Project MIDAS: Magnet Integrated Design and Analysis System", IEEE Transactions on Magnetics, IEEE, Vol 2, Num 33, March 1997
keywords:


adaptivity	Delaunay
electromagnetics	tetrahedron

Abstract

"Lazy Constrained Tetrahedralization", Proceedings 4th International Meshing Roundtable, Sandia National Laboratories, pp.15-26, October 1995
keywords:


boundary-constrained	Delaunay
lazy-constrained	Steiner Points
tetrahedron

Abstract
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"Mesh Generation and Mesh Adaptation by Mesh Topology Optimization", 2nd Symposium on Trends in Unstructured Mesh Generation, University of Colorado, Boulder, August 1999
keywords:


tetrahedra	remeshing
large deformation	adaptivity
topology optimization	clean-up

Abstract

"Adaptive Meshing for Forming Processes", Numerical Grid Generation in Computational Field Simulations, Ed. M. Cross., B. K. Soni, J. F. Thompson, J. Hauser, P. R. Eiseman, Proceedings of the 6th International Conference, held at the University of Greenwich, pp.3-19, July 1998
keywords:


adaptivity	metal forming
clean-up	mesh improvement
remeshing	tetrahedra

Abstract

"A Direct Method for the Automatic Discretization of 3D Parametric Curves", Computer-Aided Design, Elsevier, Vol 29, Num 9, pp.639-647, 1997
keywords:


CAD	curvature
feature recognition	line meshing
mesh generation	parametric curves
triangulation

Abstract

"An adaptive method for the automatic triangulation of 3D parametric surfaces", Computer-Aided Design, Elsevier, Vol 30, Num 2, pp.139-149, 1998
keywords:


advancing front	surface meshing
triangles	Riemannian metric
adaptivity	parametric surfaces

Abstract

"On Optimal Interpolation Triangle Incidences", SIAM, Society for Industrial and Applied Mathematics, Vol 6, Num 10, pp.1063-1075, November 1989
keywords:


Delaunay triangulation	interpolation
triangulation	two-dimensional

"On Adaptive Mesh Generation in Two Dimensions", Proceedings, 8th International Meshing Roundtable, South Lake Tahoe, CA, U.S.A., pp.109-117, October 1999
keywords:


adaptivity	triangle
quadrilateral

Abstract
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"Surface Meshing Using Vertex Insertion", 5th International Meshing Roundtable, Sandia National Laboratories, pp.243-256, October 1996
keywords:


curvature	parametric surface
quality	surface meshning
triangle	validity

Abstract
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"Refinement, Derefinement, and Optimization of Tetrahedral Geometric Triangulations in Three Dimensions", Draft, 1995
keywords:


clean-up	coarsening
derefinement	improvement
optimization	refinement
tetrahedron	topology

Abstract

"Optimization of Tetrahedral Meshes", ?
keywords:


anisotropy	optimization
tetrahedra	topological improvement

Abstract

"Adaptive meshing for dynamic strain localization", Computer methods in applied mechanics and engineering, Elsevier, Vol 137, pp.285-306, 1996
keywords:


adaptivity	anisotropy
triangle

Abstract

"Hexahedra Unstructured Grid Generation For Viscous Flow Simulation", Numerical Grid Generation in Computational Field Simulations, The International Society of Grid Generation, pp.325-335, September 2000
keywords:


aspect ratio	automatic
automatic mesh generation	CAD
CAD models	hexahedra
high aspect ratio	non-manifold
quality	triangulation
unstructured

Abstract

"Joining Tetrahedra To Hexahedra", 1993 MSC World Users' Conference, MSC, pp.45:1-9, 1993
keywords:


hexahedra	mixed meshes
MPC	multi-point constraints
tetrahedra

Abstract

"The Combination of Hexahedral and tetrahedral Meshing Algorithms", Proceedings, 4th International Meshing Roundtable, Sandia National Laboratories, pp.291-304, October 1995
keywords:


Delaunay	hexahedron
mixed meshing	multi-point constraints
plastering	tetrahedron
three-dimensional

Abstract

"Curvilinear Mesh Generation in 3D", Proceedings, 8th International Meshing Roundtable, South Lake Tahoe, CA, U.S.A., pp.407-417, October 1999
keywords:


tetrahedra	coarse mesh
curvilinear mesh generation	computational geometry
p-version analysis

Abstract
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"Polygonal Surface Remeshing with Delaunay Refinement", Proceedings, 14th International Meshing Roundtable, Springer-Verlag, pp.343-362, September 11-14 2005
keywords:


surface meshing	computational geometry
computational topology	Delaunay refinement

Abstract
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"On Good Triangulations in Three Dimensions", ACM, ACM, pp.431-441, 1991
keywords:


convex hull	quality
shape measures	tetrahedron

Abstract

"Delaunay triangulations in three dimensions with finite precision arithmetic", Computer Aided Geometric Design, North-Holland, Num 9, pp.457-470, 1992
keywords:


Delaunay triangulation	robustness
three-dimensional	triangulation

Abstract

"Mesh Generation Methods Over Plane and Curved Surfaces", Proceedings, 7th International Meshing Roundtable, Sandia National Lab, pp.397-407, October 1998
keywords:


quadrilateral	triangle
surface meshing	advancing front
transfinite interpolation	multiblock
structured	ruled surface
quadric surface	revolution surface

Abstract
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"Grid Generation of Arbitrary 2-D Geometries by Means of an Advancing Front I Interpolation Hybrid Technique", Numerical Grid Generation in Computational Field Simulations, Ed. M. Cross., B. K. Soni, J. F. Thompson, J. Hauser, P. R. Eiseman, Proceedings of the 6th International Conference, held at the University of Greenwich, pp.403-409, July 1998
keywords:


quadrilateral	multiblock
advancing front	triangle

Abstract

"Adaptive Mesh Refinement in Electromagnetic Problems", Proceedings, 9th International Meshing Roundtable, Sandia National Laboratories, pp.147-155, October 2000
keywords:


adaptivity	refinement
error indicator	triangles
electromagnetics

Abstract
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"Force-Directed Methods for Smoothing Unstructured Triangular and Tetrahedral Meshes", Proceedings, 9th International Meshing Roundtable, Sandia National Laboratories, pp.395-406, October 2000
keywords:


smoothing	force-directed methods
unstructured	triangle
tetrahedra

Abstract
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"Proposal of Benchmarks for 3D Unstructured Tetrahedral Mesh Optimization", Proceedings, 7th International Meshing Roundtable, Sandia National Lab, pp.459-478, October 1998
keywords:


optimization	benchmark
quality	shape measure
metric	tetrahedra

Abstract
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"How to Subdivide Pyramids, Prisms, and Hexahedra into Tetrahedra", Proceedings, 8th International Meshing Roundtable, South Lake Tahoe, CA, U.S.A., pp.195-204, October 1999
keywords:


pyramid	prism
hexahedra	tetrahedra
subdivision	conformity

Abstract
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"Tetrahedral mesh generation and optimization based on centroidal Voronoi tessellations", International Journal for Numerical Methods in Engineering, John Wiley & Sons, Ltd., Vol 56, Num 9, pp.1355 - 1373, March 2003
keywords:


centroidal Voronoi Delaunay triangulation	mesh quality
optimization	tetrahedral mesh generation

Abstract

"Evaporation: a Technique for Visualizing Mesh Quality", Proceedings, 8th International Meshing Roundtable, South Lake Tahoe, CA, U.S.A., pp.259-265, October 1999
keywords:


refinement	adaptivity
preprocessing	mesh visualization
quality	tetrahedra

Abstract
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"An Experimental Study of Sliver Exudation", Proceedings, 10th International Meshing Roundtable, Sandia National Laboratories, pp.307-316, October 7-10 2001
keywords:


tetrahedra	weighted Delaunay triangulations
quality	slivers
dynamic triangulation	computer experiments.

Abstract
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"Adaptive Simplicial Grids from Cross-sections of Monotone Complexes", Proceedings, 6th International Meshing Roundtable, Sandia National Laboratories, pp.253-266, October 1997
keywords:


density	tetrahedra
triangle

Abstract
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"When Mesh Generators Require Enhancements", Proceedings, 7th International Meshing Roundtable, Sandia National Lab, pp.525-537, October 1998
keywords:


triangle	smoothing
quality	enhancements

Abstract

"Implementation of a Randomized Algorithm for Delaunay and Regular Triangulations in Three Dimensions", Computer Aided Geometric Design, Elsevier, Vol 12, pp.349-370, 1995
keywords:


Delaunay	regular triangulation
tetrahedron

Abstract

"A Generic Delaunay Triangulation Algorithm for Finite Element Meshes", Advances in Engineering Software, Elsevier, Vol 56, Num 13, pp.263-272, 1991
keywords:


Delaunay	finite elements
triangulation

Abstract

"The legacy of automatic mesh generation from solid modeling", Computer Aided Geometric Design, Elsevier, Vol 12, pp.651-673, 1995
keywords:


advancing front	classification
Delaunay	hexahedra
octree	overview
parametric surface	quality
solid model	tetrahedra

Abstract

"Structural Improvement of Planar Triangulations: Some Constraints and Practical Issues", Communications in Numerical Methods in Engineering, John Wiley & Sons, Ltd., Vol 11, pp.191-198, 1995
keywords:


clean-up	relaxation
smoothing	triangle

Abstract

"3D Hybrid Mesh Generation for Reservoir Flow Simulation", Proceedings, 13th International Meshing Roundtable, Williamsburg, VA, Sandia National Laboratories, SAND #2004-3765C, pp.133-144, September 19-22 2004
keywords:


computational geometry	hybrid mesh
power diagram	Delaunay
regular triangulations

Abstract
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"Three-Dimensional Delaunay Mesh Generation Using a Modified Advancing Front Approach", Proceedings, 6th International Meshing Roundtable, Sandia National Laboratories, pp.267-278, October 1997
keywords:


advancing front	boundary constrained
Delaunay	semiconductor
slivers	tetrahedra

Abstract
Download Full Paper (Postscript Format)

"Simple Mesh Examples to Illustrate Specific Finite Element Mesh Requirements", Proceedings, 8th International Meshing Roundtable, South Lake Tahoe, CA, U.S.A., pp.241-246, October 1999
keywords:


Delaunay	finite element mesh
finite volume mesh	non-obtuse mesh elements
M-matrix

Abstract
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"Parametrization and Smooth Approximation of Surface Triangulations", Computer Aided Geometric Design, Elsevier, Vol 14, pp.231-250, 1997
keywords:


parameterization	surface
triangle

Abstract

"Tetrahedral Mesh Improvement Using Swapping and Smoothing", International Journal for Numerical Methods in Engineering, Wiley, Vol 40, pp.3979-4002, 1997
keywords:


clean-up	smoothing
tetrahedra

Abstract

"Adaptive Finite Element Surface Remeshing", Numerical Grid Generation in Computational Field Simulations, Ed. M. Cross., B. K. Soni, J. F. Thompson, J. Hauser, P. R. Eiseman, Proceedings of the 6th International Conference, held at the University of Greenwich, pp.371-380, July 1998
keywords:


surface	size map
curvature	facet representation
adaptivity	remeshing
triangle

Abstract

"Maillages. Applications aux elements finis", Hermes Science Publ., Paris, pp.842, 23 chapters, 1999
keywords:


overview	classification
survey	multiblock
algebraic	quadtree
octree	advancing front
Delaunay	medial axis
surface meshing	curve meshing
implicit surfaces	optimization
modifications	adaptivity
P-method	parallel

Abstract

"About Surface Remeshing", Proceedings, 9th International Meshing Roundtable, Sandia National Laboratories, pp.123-136, October 2000
keywords:


surface remeshing	remeshing
triangles	triangulation
Hausdorff distance	decimation
adaptivity

Abstract
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"Surface mesh evaluation", Proceedings, 6th International Meshing Roundtable, Sandia National Laboratories, pp.363-373, October 1997
keywords:


quality	surface
triangle

Abstract
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"Unit Surface Mesh Simplification", AMD-Vol. 220 Trends in Unstructured Mesh Generation, ASME, pp.51-64, July 1997
keywords:


decimation	derefinement
mesh simplification	surface meshing
triangles

Abstract

"Fast Adaptive Quadtree Mesh Generation", Proceedings, 7th International Meshing Roundtable, Sandia National Lab, pp.211-224, October 1998
keywords:


triangle	quadtree
spatial decomposition	adaptivity

Abstract
Download Full Paper (Postscript Format)

"Delaunay Tetrahedralization using an Advancing-Front Approach", 5th International Meshing Roundtable, Sandia National Laboratories, pp.31-46, October 1996
keywords:


adaptivity	advancing front
anisotropy	Delaunay
tetrahedron

Abstract
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"Fully Automatic Mesh Generation For 3-D Domains Based Upon Voxel Sets", International Journal For Numerical Methods in Engineering, John Wiley, Num 37, pp.2735-2753, 1994
keywords:


divide-and-conquer	finite elements
iso-surface	octree
spatial decomposition	tetrahedron
three-dimensional	voxels

Abstract

"Selective Refinement: A New Strategy for Automatic Node Placement in Graded Triangular Meshes", International Journal for Numerical Methods in Engineering, Wiley, Vol 24, pp.2183-2200, 1987
keywords:


Delaunay	density function
node generation	refinement
triangle	two-dimensional

Abstract

"Mesh relaxation: A new Technique for Improving Triangulations", International Journal For Numerical Methods in Engineering, Vol 31, pp.1121-1133, 1991
keywords:


refinement	relaxation
triangle	two-dimensional

"Almost Regular Delaunay-Triangulations", International Journal for Numerical Methods in Engineering, Wiley, Vol 40, pp.4595-4610, 1997
keywords:


almost regularity	Delaunay triangulation
grid optimization	triangle

Abstract

"Automatic Grid Generation with Almost regular Delaunay Tetrahedra", Proceedings, 7th International Meshing Roundtable, Sandia National Lab, pp.133-148, October 1998
keywords:


Delaunay	tetrahedra
almost regularity	ART

Abstract
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"Criteria to Achieve Nearly Optimal Meshes in the h-Adaptive Finite Element Method", International Journal for Numerical Methods in Engineering, Wiley, Vol 39, pp.4039-4061, 1996
keywords:


adaptivity	optimal mesh
criteria	refinement
error estimation	triangle

Abstract

"A Paradigm for Parallel Unstructured Grid Generation", 5th International Conference on Numerical Grid Generation in Computational Field Simmulations, Mississippi State University, pp.731-740, April 1996
keywords:


advancing front	decomposition
Delaunay	parallel processing
triangles

Abstract

"Prepartitioning as a way to mesh subdomains in parallel", 5th International Meshing Roundtable, Sandia National Laboratories, pp.107-122, October 1996
keywords:


Delaunay	domain decomposition
parallel	triangle

Abstract
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"Tetrahedral Mesh Generation With Mutliple Elements Through the Thickness", Proceedings, 4th International Meshing Roundtable, Sandia National Laboratories, pp.321-333, October 1995
keywords:


octree

tetrahedron

Abstract
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"Mesh data structure selection for mesh generation and FEA applications", International Journal for Numerical Methods in Engineering, John Wiley & Sons, Ltd., Vol 55, Num 4, pp.451 - 478, October 2002
keywords:


data structures	grids
hexahedral mesh	tetrahedral mesh
triangulation

Abstract

"Boundary Layer Meshing for Viscous Flows in Complex Domains", Proceedings, 7th International Meshing Roundtable, Sandia National Lab, pp.107-118, October 1998
keywords:


tetrahedra	boundary layer
CFD	anisotropy
advancing layers

Abstract
Download Full Paper (Postscript Format)

"Quality Improvement of Surface Triangulations Using Local Parameterization", Numerical Grid Generation in Computational Field Simulations, The International Society of Grid Generation, pp.609-618, June 2002
keywords:


local parameterization	quality
surface triangulation

Abstract

"Unstructured Grid Generation Using Interactive Three-Dimensional Boundary and Efficient Three-Dimensional Volume Methods", AIAA-93-3452-CP, AIAA, pp.409-419, 1993
keywords:


boundary constrained	CFD
Delaunay	tetrahedron

Abstract

"Constraint of the boundary and automatic mesh generation", Numerical Grid Generation in Computational Fluid Mechanics `88, Pineridge Press, pp.589-597, 1988
keywords:


boundary constrained

Delaunay

Abstract

"Automatic Mesh Generation: Application to Finite Element Methods", Wiley, pp.333, 1991
keywords:


advancing front	Delaunay
mapped	mulit-block
octree	overview
surface meshing	Voronoi

Abstract

"GHS3D, tetrahedral mesh generator", INRIA - Simulog, March 1996
keywords:


data structures	Delaunay
point creation	tetrahedron

Abstract

"Automatic Mesh Generator with Specified Boundary", Computer Methods in Applied Mechanics and Engineering, North-Holland, Vol 92, pp.269-288, 1991
keywords:


boundary-constrained	Delaunay
tetrahedron	triangle
Voronoi

Abstract

"Creation of Internal Points in Voronoi's Type Method. Control Adaptation", Advances in Engineering Software, Elsevier, Vol 13, Num 5, pp.303-312, 1991
keywords:


finite elements	point creation
tetrahedron	triangles
Voronoi

"Fully Automatic Mesh Generator for 3D Domains of Any Shape", Impact of Comuting in Science and Engineering, Academic Press, Vol 2, pp.187-218, 1990
keywords:


adaptivity	boundary-constrained
Delaunay	tetrahedron
Voronoi

Abstract

"Tet Meshing: Construction, Optimization, And Adaptation", Proceedings, 8th International Meshing Roundtable, South Lake Tahoe, CA, U.S.A., pp.133-141, October 1999
keywords:


tetrahedra	constrained triangulation
Delaunay	overview
adaptivity	optimization
smoothing

Abstract
Download Full Paper (Postscript Format)

"Automatic 3D Mesh Generation Conforming a Prescribed Size Map", Numerical Grid Generation in Computational Field Simulations, Ed. M. Cross., B. K. Soni, J. F. Thompson, J. Hauser, P. R. Eiseman, Proceedings of the 6th International Conference, held at the University of Greenwich, pp.21-32, July 1998
keywords:


adaptivity	tetrahedra
boundary constrained	Delaunay
size map

Abstract

"Improvements on Delaunay-based Three-Dimensional Automatic Mesh Generator", Finite Elements in Analysis and Design, Elsevier, Vol 25, pp.297-317, 1997
keywords:


boundary constrained	clean-up
Delaunay	point insertion
smoothing	tetrahedra

Abstract

"The Advancing-Front Mesh Generation Method Revisited", International Journal for Numerical Methods in Engineering, Wiley, Vol 37, pp.3605-3619, 1994
keywords:


background mesh	advancing front
Delaunay	triangle
tetrahedra

Abstract

"Tet Meshing", 8th International Meshing Roundtable, unpublished, October 1999
keywords:


tetrahedra	Delaunay kernel
in-sphere predicate	round-off errors
adaptivity

Abstract

"Delaunay Triangulation and Meshing: Application to Finite Elements", Hermes, pp.413, 1998
keywords:


adaptivity	anisotropy
boundary-constrained	data structures
Delaunay	line meshing
overview	parametric surface
Reimann metric	tetrahedra
triangle

Abstract

"Comparison of algorithm efficiency and mesh quality in Delaunay triangulation for complex 2D domains", Numerical Grid Generation in Computational Field Simulations, The International Society of Grid Generation, pp.789-798, September 2000
keywords:


2D domains	algorithms
Delaunay triangulation	mesh quality

Abstract

"An Approach to Refining Three-Dimensional Tetrahedral Meshes Based on Delaunay Transformations", International Journal for Numerical Methods in Engineering, John Wiley, Num 37, pp.793-812, 1994
keywords:


adaptivity	Delaunay triangulation
finite elements	node generation
refinement	relaxation
smoothing	tetrahedron
three-dimensional	triangulation
Voronoi

Abstract

"Automatic Blocking Scheme for Structured Meshing in 2D Multiphase Flow Simulation", Proceedings, 13th International Meshing Roundtable, Williamsburg, VA, Sandia National Laboratories, SAND #2004-3765C, pp.121-132, September 19-22 2004
keywords:


multiblock structured mesh	medial axis
Delaunay	Voronoi diagram
Delaunay refinement	multiphase flow simulation

Abstract
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"Tetrahedral Finite Element Mesh Generation from NURBS Solid Models", Engineering with Computers, Springer-Verlag, Vol 12, pp.211-223, December 1996
keywords:


computational geometry	Delaunay
NURBS	octree

Abstract

"Watertight Anisotropic Surface Meshing Using Quadrilateral Patches", Proceedings, 13th International Meshing Roundtable, Williamsburg, VA, Sandia National Laboratories, SAND #2004-3765C, pp.311-322, September 19-22 2004
keywords:


surface triangulation	anisotropy
quadrilateral	CAD geometry
mapping templates

Abstract
Download Full Paper (Postscript Format)

"On Generating High Quality", Numerical Grid Generation in Computational Field Simulations, The International Society of Grid Generation, pp.27-46, June 2002
keywords:


CAD	quality
surface tesselation	triangulations
water-tight

Abstract

"Voronoi-Segment Meshes in CFD: The ELMER experience", Numerical Grid Generation in Computational Field Simulations, Ed. M. Cross., B. K. Soni, J. F. Thompson, J. Hauser, P. R. Eiseman, Proceedings of the 6th International Conference, held at the University of Greenwich, pp.411-420, July 1998
keywords:


Rebay method	Voronoi-segment
triangle

Abstract

"Low-Dispersion Meshes for Scattering Problems", 5th International Conference on Numerical Grid Generation in Computational Field Simulations, Mississippi State University, pp.639-646, April 1996
keywords:


Rebay's method

triangle

Abstract

"Implementation and Evaluation of an Efficient 2D Parallel Delaunay Triangulation Algorithm", Proceedings of the 9th Annual ACM Symposium on Parallel Algorithms and Architectures, ACM, Vol 15, June 1997
keywords:


Delaunay triangulation	divide-and-conquer
Machiavelli	MPI
nested data parallel	parallel

Abstract

"A marching method for the triangulation of surfaces", The Visual Computer, Springer, Vol 14, Num 3, pp.95-108, 1998
keywords:


triangle	advancing front
marching method	numerical implicitization
parametric surface	implicit surface
offset surface	blend surface

Abstract

"Mesh Generation and Adaptivity for the Solution of Compressible Viscous High Speed Flows", International Journal for Numerical Methods in Engineering, Wiley, Vol 38, pp.1123-1148, 1995
keywords:


line relaxation	adaptivity
Navier-Stokes equations	triangle
tetrahedra	CFD

Abstract

"Anisotropic Adaptive Mesh Generation for CFD", Lecture Notes: Princeton Conference, July 1996
keywords:


anisotropy	CFD
Delaunay	metric
tetrahedron	triangle

Abstract

"Improving the quality of meshes for the simulation of semiconductor devices using Lepp-based algorithms", International Journal for Numerical Methods in Engineering, John Wiley & Sons, Ltd., Vol 58, Num 2, pp.333-347, July 2003
keywords:


control volume method	Delaunay meshes
Lepp-based algorithms	non-obtuse boundary meshes
semiconductor device simulation

Abstract

"Non-Obtuse Boundary Delaunay Triangulations", Proceedings, 6th International Meshing Roundtable, Sandia National Laboratories, pp.391, October 1997
keywords:


boundary constrained	Delaunay
LEPP	triangle

Abstract
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"Tessellations of Cuboids with Steiner Points", Proceedings, 9th International Meshing Roundtable, Sandia National Laboratories, pp.275-282, October 2000
keywords:


control volume	cuboid tessellation
modified octrees	octree
tetrahedra

Abstract
Download Full Paper (Postscript Format)

"Quality nonobtuse boundary and/or interface Delaunay triangulations", Numerical Grid Generation in Computational Field Simulations, The International Society of Grid Generation, pp.285-294, September 2000
keywords:


algorithms	automatic
boundary constrained	constrained
constrained Delaunay	Delaunay insertion
Delaunay triangulation	triangles
triangulation

Abstract

"Automatic construction of non-obtuse boundary and/or interface Delaunay triangulations for control volume methods", International Journal for Numerical Methods in Engineering, John Wiley & Sons, Ltd., Vol 55, Num 7, pp.803 - 816, November 2002
keywords:


control volume method	Delaunay meshes
non-obtuse triangulation

Abstract

"Finite Element Mesh Generation Methods: A Review and Classification", Computer Aided Design, Butterworth & Co. Ltd, Vol 1, Num 20, pp.27-38, Jan/Feb 1988
keywords:


classification	Delaunay triangulation
finite elements	smoothing
three dimensional	two-dimensional

Abstract

"The Generation of Unstructured Triangular Meshes Using Delaunay Triangulation", Numerical Grid Generation in Computational Fluid Mechanics `88, Pineridge Press, pp.643-652, 1988
keywords:


Delaunay	triangle
node location	two-dimensional

Abstract

"Reliable Isotropic Tetrahedral Mesh Generation Based on an Advancing Front Method", Proceedings, 13th International Meshing Roundtable, Williamsburg, VA, Sandia National Laboratories, SAND #2004-3765C, pp.95-106, September 19-22 2004
keywords:


advancing front	tetrahedra
isotropic tetrahedral mesh	biomedical
computed tomography	CT
magnetic resonance imaging	MRI

Abstract
Download Full Paper (Postscript Format)

"Surface Triangulation for Complex Geometries", Numerical Grid Generation in Computational Field Simulations, The International Society of Grid Generation, pp.709-718, September 2000
keywords:


advancing front	CAD
surface mesh	surface triangulation
unstructured mesh

Abstract

"Adaptive Grid Refinement and Sensors for the Euler Equations", Numerical Grid Generation in Computational Field Simulations, Ed. M. Cross., B. K. Soni, J. F. Thompson, J. Hauser, P. R. Eiseman, Proceedings of the 6th International Conference, held at the University of Greenwich, pp.381-390, July 1998
keywords:


adaptivity	refinement
CFD	error estimation
triangle

Abstract

"Automatic Generation of Adaptive Unstructured Grids for Viscous Flow Applications", 5th International Conference On Numerical Grid Generation in Computational Field Simulations, Mississippi State University, pp.219-228, April 1996
keywords:


anisotropy	CFD
triangle

Abstract

"Triangular Meshes for Regions of Complicated Shape", International Journal for Numerical Methods in Engineering, Wiley, Vol 23, pp.751-778, 1986
keywords:


decomposition	density function
polygonal decomposition	triangle

Abstract

"GEOMPACK - A Software Package for the Generation of Meshes Using Geometric Algorithms", Advances in Engineering Software, Elsevier, Vol 13, Num 5, pp.325-331, 1991
keywords:


Delaunay	software
tetrahedron	three-dimensional
two-dimensional

"Three Dimensional Boundary Constrained Triangulations", Artificial Intelligence, Expert Systems, and Symbolic Computing -- Proceedings of the 13th IMACS World Congress, ed. E. N. Houstis and J. R. Rice, Elsevier Science, pp.215-222, 1992
keywords:


boundary-constrained	Delaunay
tetrahedron	triangulation

"Tetrahedral Mesh Generation in Polyhedral Regions Based on Convex Polyhedron Decompositions", International Journal for Numerical Methods in Engineering, John Wiley, Num 37, pp.693-713, 1994
keywords:


polyhedral decomposition

tetrahedron

"Finite Element Triangulation of Complex Regions Using Computational Geometry", Dissertation, Dept of Computer Science, University of Waterloo, Waterloo, Ontario, Canada, pp.141, July 1984
keywords:


computational geometry	finite elements
polyhedral decomposition	triangulation

"Delaunay Versus Max-Min Solid Angle Triangulations For Three-Dimensional Mesh Generation", International Journal for Numerical Methods in Engineering, John Wiley & Sons, Vol 31, pp.987-997, 1991
keywords:


angle	Delaunay
max-min solid angle	tetrahedron
three-dimensional

Abstract

"GEOMPACK User's Guide", (downloaded from Barry Joe's internet site at UofA)
keywords:


Delaunay	tetrahedron
three-dimensional	triangulation
two-dimensional

"Construction of Three-Dimensional Delaunay Triangulations Using Local Transformations", Computer Aided Geometric Design, Elsevier Science Publishers (North-Holland), Num 8, pp.123-142, 1991
keywords:


Delaunay triangulation	scattered data
tetrahedron	three-dimensional
triangulation

Abstract

"GEOMPACK - A Software Package for the Generation of Meshes Using Geometric Algorithms", Adv. Eng. Software, Elsevier, Vol 13, Num 5, pp.325-331, 1991
keywords:


Delaunay	tetrahedron
triangle

"Construction of Three-Dimensional Improved-Quality Triangulations Using Local Transformations", Siam J. Sci. Comput., Vol 16, pp.1292-1307, 1995
keywords:


clean-up	Delaunay
improvement	tetrahedron

Abstract

"Automatic Conversion of Triangular Finite Element Meshes to Quadrilateral Elements", International Journal for Numerical Methods in Engineering, Wiley, Vol 31, pp.67-84, 1991
keywords:


quadrilateral

triangle conversion

Abstract

"BSP-Assisted constrained tetrahedralization", Proceedings, 12th International Meshing Roundtable, Sandia National Laboratories, pp.251-260, Sept. 2003
keywords:


tetrahedra	computational geometry
Delaunay	boundary-constrained
BSP

Abstract
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"Tetrahedron-based octree encoding for automatic mesh generation", Computer Aided Design, Butterworth-Heinemann Ltd., Vol 3, Num 25, pp.141-153, March 1993
keywords:


finite elements	tetrahedron
three-dimensional

"Adaptive Refinement-Coarsening Scheme for Three-Dimensional Unstructured Meshes", AIAA Journal, AIAA, Vol 43, Num 8, pp.1440-1447, August 1993
keywords:


adaptivity	coarsening
refinement	tetrahedra

Abstract

"Hybrid Prismatic/Tetrahedral Grids for Turbomachinery Applications", Proceedings, 6th International Meshing Roundtable, Sandia National Laboratories, pp.21-32, October 1997
keywords:


CFD	mixed element
prism	surface meshing
tetrahedra	triangle
wedge

Abstract
Download Full Paper (Postscript Format)

"Unstructured Grid Generation and A Simple Triangulation Algorithm For Arbitrary 2-D Geometries Using Object Oriented Programming", International Journal for Numerical Methods in Engineering, Wiley, Vol 40, pp.251-268, 1997
keywords:


object oriented programming	Delaunay
two-dimensional	triangles
node placement	data structures

Abstract

"A Flexible Unstructured Mesh Generation Algorithm Suitable for Block Partitioning", 5th International Conference on Numerical Grid Generation in Computational Field Simulations, Mississippi State University, pp.279-289, April 1996
keywords:


Delaunay	parallel processing
spatial decomposition	tetrahedron

Abstract

"Triangulation of Arbitrary Polyhedra", 2nd Symposium on Trends in Unstructured Mesh Generation, University of Colorado, Boulder, August 1999
keywords:


tetrahedra	polyhedra
non-convex polyhedra	boundary recovery
Delaunay	boundary constrained

Abstract

"Triangulation of arbitrary polyhedra to support automatic mesh generators", International Journal for Numerical Methods in Engineering, John Wiley, Vol 49, Num 1, pp.167-191, September 10-20 2000
keywords:


surface meshing	face recovery
Delaunay	robustness
boundary conforming

Abstract

"Edge Recovery Method on an Existing Surface Mesh for Boundary Layer Meshing", 2nd Symposium on Trends in Unstructured Mesh Generation, University of Colorado, Boulder, August 1999
keywords:


boundary layer	edge recovery
surface meshing	triangle

Abstract

"Unstructured Grid Adaption for Non-Convex Domains", Numerical Grid Generation in Computational Fluid Mechanics `88, Pineridge Press, pp.599-609, 1988
keywords:


adaptivity	triangle
smoothing	spring analogy
physically based	bubble

Abstract

"Tetrahedral Mesh Generation in Convex Primitives", International Journal For Numerical Methods in Engineering, Wiley, Vol 38, pp.99-117, February 1995
keywords:


convex	quality
tetrahedron	three-dimensional

Abstract

"Anisotropic Smoothing And Solution Adaption For Unstructured Grids", International Journal for Numerical Methods in Engineering, Wiley, Vol 39, pp.3163-3174, 1996
keywords: