TY - JOUR
T1 - Finite Element Approximation of a Nonlinear Steady-State Heat Conduction Problem
AU - Křížek , Michal
JO - Journal of Computational Mathematics
VL - 1
SP - 27
EP - 34
PY - 2001
DA - 2001/02
SN - 19
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jcm/8954.html
KW - Boundary value elliptic problems, Comparison principle, Maximum principle, Finite element method, Discrete maximum principle, Nonobtuse partitions.
AB - <p style="text-align: justify;">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.</p>