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Finite element solution of a stationary heat conduction equation with the radiation boundary condition. (English) Zbl 0782.65130
There exist many different methods of treating analytically and numerically the Stefan-Boltzmann boundary condition appearing in stationary heat conduction problems [e.g. T. Y. Na, Computational methods in engineering boundary value problems (1979; Zbl 0456.76002)]. Slightly modifying a variational approach briefly described by B. A. Szabó and I. Babuška [Finite element analysis, John Wiley & Sons, New York (1991)], the author examines here the associated finite element approximations.

MSC:
65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
35J25 Boundary value problems for second-order elliptic equations
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References:
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