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Finite element analysis of a radiation heat transfer problem. (English) Zbl 0919.65067

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.

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
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