On the Maximum Angle Condition for Linear Tetrahedral Elements

SIAM Journal of Numerical Analysis, ACM, Vol 29, Num 2, pp.513-520, April 1992

MESHING
RESEARCH
CORNER

Mathematical Institute. Czechoslovak Academy of Sciences

Abstract
Synge's maximum angle condition for triangular elements is generalized to tetrahedral elements. For the generalized condition, it is proved that tetrahedra may degenerate in a certain way and the error of the standard linear interpolation remains O(h) in the Wp^1(omega)-norm for sufficiently smooth functions and p (element of)[l,infinity].