Year: 2001
Author: Michal Křížek
Journal of Computational Mathematics, Vol. 19 (2001), Iss. 1 : pp. 27–34
Abstract
We examine a nonlinear partial differential equation of elliptic type with the homogeneous Dirichlet boundary conditions. We prove comparison and maximum principles. For associated finite element approximations we introduce a discrete analogue of the maximum principle for linear elements, which is based on nonobtuse tetrahedral partitions.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2001-JCM-8954
Journal of Computational Mathematics, Vol. 19 (2001), Iss. 1 : pp. 27–34
Published online: 2001-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 8
Keywords: Boundary value elliptic problems Comparison principle Maximum principle Finite element method Discrete maximum principle Nonobtuse partitions.