@Article{JCM-19-27, author = {Křížek , Michal}, title = {Finite Element Approximation of a Nonlinear Steady-State Heat Conduction Problem}, journal = {Journal of Computational Mathematics}, year = {2001}, volume = {19}, number = {1}, pages = {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.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/8954.html} }