@Article{JCM-19-1, author = {Michal, Křížek}, 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/2001-JCM-8954}, url = {https://global-sci.com/article/85444/finite-element-approximation-of-a-nonlinear-steady-state-heat-conduction-problem} }