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Failure of the discrete maximum principle for an elliptic finite element problem

✍ Scribed by Drăgănescu, Andrei; Dupont, Todd F.; Scott, L. Ridgway

Book ID
111953498
Publisher
American Mathematical Society
Year
2004
Tongue
English
Weight
186 KB
Volume
74
Category
Article
ISSN
0025-5718

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This paper provides a sufficient condition for the discrete maximum principle for a fully discrete linear simplicial finite element discretization of a reaction-diffusion problem to hold. It explicitly bounds the dihedral angles and heights of simplices in the finite element partition in terms of th