Weakened acute type condition for tetrahedral triangulations and the discrete maximum principle
Open Access
- 23 May 2000
- journal article
- Published by American Mathematical Society (AMS) in Mathematics of Computation
- Vol. 70 (233) , 107-119
- https://doi.org/10.1090/s0025-5718-00-01270-9
Abstract
We prove that a discrete maximum principle holds for continuous piecewise linear finite element approximations for the Poisson equation with the Dirichlet boundary condition also under a condition of the existence of some obtuse internal angles between faces of terahedra of triangulations of a given space domain. This result represents a weakened form of the acute type condition for the three-dimensional case.Keywords
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