Splitting a Concave Domain to Convex Subdomains

Splitting a Concave Domain to Convex Subdomains

Year:    1998

Author:    Liping Liu, Michal Křížek

Journal of Computational Mathematics, Vol. 16 (1998), Iss. 4 : pp. 327–336

Abstract

We examine a steady-state heat radiation problem and its finite element approximation in $R^d$, $d=2, 3$. A nonlinear Stefan-Boltzmann boundary condition is considered. Another nonlinearity is due to the fact that the temperature is always greater or equal than $0 [K]$. We prove two convergence theorems for piecewise linear finite element solutions.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/1998-JCM-9163

Journal of Computational Mathematics, Vol. 16 (1998), Iss. 4 : pp. 327–336

Published online:    1998-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    10

Keywords:    Nonlinear elliptic boundary value problems heat radiation problem finite elements variational inequalities.

Author Details

Liping Liu

Michal Křížek