Volume 19, Issue 1
Finite Element Approximation of a Nonlinear Steady-State Heat Conduction Problem

Michal Krizek

J. Comp. Math., 19 (2001), pp. 27-34

Preview Full PDF BiBTex 242 599
  • 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.

  • History

Published online: 2001-02

  • AMS Subject Headings

  • Cited by