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 -

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.