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Maria-Cecilia Rivara

Professor, Mathematical Engineer
University of Chile
Web Page: http://www.dcc.uchile.cl/~mcrivara/
E-mail: mcrivara@dcc.uchile.cl

MESHING
RESEARCH
CORNER

Bastarrica, Maria Cecilia and Nancy Hitschfeld-Kahler

    "An Evolvable Meshing Tool Through a Flexible Object-Oriented Design", Proceedings, 13th International Meshing Roundtable, Williamsburg, VA, Sandia National Laboratories, SAND #2004-3765C, pp.203-212, September 19-22 2004
    keywords:
    • meshing tools
    • object-oriented design
    • software engineering
    • software reuse
    Abstract
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Hitschfeld, N.; Villablanca, L.; Krause, J.; Rivara, M. C.
    "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


Hitschfeld, Nancy and M. Cecilia Rivara
    "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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Hitschfeld, Nancy; Rivara, Maria-Cecilia
    "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


Hitschfeld, Nancy; Rivara, Marķa-Cecilia
    "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


Plaza, Angel and Maria-Cecilia Rivara
    "Mesh refinement based on the 8-tetrahedra longest-edge partition", Proceedings, 12th International Meshing Roundtable, Sandia National Laboratories, pp.67-78, Sept. 2003
    keywords:
    • refinement
    • LEPP
    • longest-edge bisection
    • tetrahedra
    Abstract
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Rivara, M.-C. and M. Vemere
    "Cost Analysis of the Longest-Side (Triangle Bisection) Refinement Algorithm for Triangulations", Engineering with Computers, Springer-Verlag, Vol 12, pp.224-234, December 1996
    keywords:
    • refinement
    • triangle
    Abstract


Rivara, M.-C., N. Hitschfeld, B. Simpson
    "Terminal-edges Delaunay (small-angle based) algorithm for the quality triangulation problem", Computer Aided Design, Elsevier, Vol 33, Num 3, pp.263-277, March 2001
    keywords:
    • optimal quality triangulation
    • Delaunay
    • Longest-edge based algorithm
    • LEPP
    • guaranteed quality
    Abstract


Rivara, Maria-Cecilia
    "Cost Analysis of the Longest-Side (Triangle Bisection) Refinement Algorithm for Triangulations", Technical Report DCC-RR-94/6 Dept. Computer Science, University of Chile
    keywords:
    • mesh refinement
    • triangulation


Rivara, Maria-Cecilia
    "A Study on Delaunay Terminal Edge Method", Proceedings, 15th International Meshing Roundtable, Springer-Verlag, pp.529-542, September 17-20 2006
    keywords:
    • delaunay terminal edge method
    • LEPP
    Abstract
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Rivara, Maria-Cecilia
    "Local Modification of Meshes for Adaptive and/or MultiGrid Finite-Element Methods", Journal of Computational and Applied Mathematics, Elsevier, Num 36, pp.79-89, 1991
    keywords:
    • adaptivity
    • mesh refinement


Rivara, Maria-Cecilia
    "New Longest-Edge Algorithms For the Refinement and/or Improvement of Unstructured Triangulations", International Journal for Numerical Methods in Engineering, Wiley, Vol 40, pp.3313-3324, 1997
    keywords:
    • Delaunay
    • improvement
    • LEPP
    • refinement
    • tetrahedra
    • triangle
    Abstract


Rivara, Maria-Cecilia
    "New Mathematical Tools and Techniques for the Refinementand/or Improvement of Unstructured Triangulations", 5th International Meshing Roundtable, Sandia National Laboratories, pp.77-86, October 1996
    keywords:
    • longest edge
    • refinement
    • surface meshing
    • tetrahedron
    • triangle
    Abstract
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Rivara, Maria-Cecilia and Angel Plaza
    "Longest-Edge Algorithms: Nondegeneracy Properties in 3 Dimensions", 2nd Symposium on Trends in Unstructured Mesh Generation, University of Colorado, Boulder, August 1999
    keywords:
    • LEPP
    • Delaunay
    • tetrahedra
    Abstract


Rivara, Maria-Cecilia and Mauricio Palma
    "New Lepp-Algorithms for Quality Polygon and Volume Triangulation: Implementation Issues and Practical Behavior", AMD-Vol. 220 Trends in Unstructured Mesh Generation, ASME, pp.1-8, July 1997
    keywords:
    • LEPP
    • refinement
    • tetrahedra
    • triangles
    Abstract


Rivara, Maria-Cecilia and Nancy Hitschfeld
    "LEPP-Delaunay algorithm: a robust tool for producing size-optimal quality triangulations", Proceedings, 8th International Meshing Roundtable, South Lake Tahoe, CA, U.S.A., pp.205-220, October 1999
    keywords:
    • LEPP
    • Delaunay
    • tetrahedra
    Abstract
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Rivara, Maria-Cecilia and Patricio Inostroza
    "A Discussion on Mixed (Longest-Side Midpoint Insertion) Delaunay Techniques for the Triangulation Refinement Problem", Proceedings, 4th International Meshing Roundtable, Sandia National Laboratories, pp.335-346, October 1995
    keywords:
    • Delaunay
    • refinement
    • triangle
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Rivara, Maria-Cecilia, Daniel Pizarro and Nikos Chrisochoides
    "Parallel Refinement of Tetrahedral Meshes using Terminal-Edge Bisection Algorithm", Proceedings, 13th International Meshing Roundtable, Williamsburg, VA, Sandia National Laboratories, SAND #2004-3765C, pp.427-436, September 19-22 2004
    keywords:
    • parallel
    • LEPP
    • longest-edge
    • terminal-edge
    Abstract
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Simpson, Bruce, Nancy Hitschfeld and Maria-Cecilia Rivara
    "Approximate Quality Mesh Generation Based on Small Edge Details", Proceedings, 9th International Meshing Roundtable, Sandia National Laboratories, pp.411-421, October 2000
    keywords:
    • planar mesh
    • Delaunay
    • mesh improvement
    • recursion
    • LEPP
    Abstract
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