Weakened acute type condition for tetrahedral triangulations and the discrete maximum principle

Korotov, Sergey; Křížek, Michal; Neittaanmäki, Pekka

doi:10.1090/S0025-5718-00-01270-9

Weakened acute type condition for tetrahedral triangulations and the discrete maximum principle
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by Sergey Korotov, Michal Křížek and Pekka Neittaanmäki PDF

Math. Comp. 70 (2001), 107-119 Request permission

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.

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