As triangulation open sets in certain simplicial decompositions are called of areas. One speaks therefore of a decomposition of open sets into . With the is -dimensional coordinate space with the real numbers meant as coordinates. Such triangulations are further classified and are particularly important in numerical calculation (such as the finite element method ).
If the intersection for consists of more than one point, then is an edge of and .
Quasi-uniform triangulation
The family of triangulations is called quasi-uniform if there is a number such that holds for each . Here are half the diameter of and the inner diameter of the element . may have at most one diameter (where the grid width is).
Uniform triangulation
The family of triangulations is called uniform if there is a number such that holds for each . may have at most one diameter .
↑ a b c
Dietrich Braess: Finite element theory, fast solvers and applications in elasticity theory . 4th edition. Springer-Verlag Berlin Heidelberg, Berlin, Heiderberg 2007, ISBN 978-3-540-72450-6 , pp.58 , doi : 10.1007 / 978-3-540-72450-6 .