Liu, Liping; Křízek, Michal Finite element analysis of a radiation heat transfer problem. (English) Zbl 0919.65067 J. Comput. Math. 16, No. 4, 327-336 (1998). The authors consider a steady-state heat radiation problem with nonlinear Stefan-Boltzmann boundary conditions. Using the standard Sobolev space mutation, the authors introduce a variational inequality approach to this problem and prove two convergence theorems for piecewise linear finite element solutions. Reviewer: Ziwen Jiang (Shandong) Cited in 4 Documents MSC: 65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs 35J65 Nonlinear boundary value problems for linear elliptic equations 65N12 Stability and convergence of numerical methods for boundary value problems involving PDEs Keywords:radiation heat transfer; nonlinear elliptic boundary value problems; heat radiation problem; finite elements; nonlinear Stefan-Boltzmann boundary conditions; variational inequality; convergence PDFBibTeX XMLCite \textit{L. Liu} and \textit{M. Křízek}, J. Comput. Math. 16, No. 4, 327--336 (1998; Zbl 0919.65067)