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Volume 16, Issue 4
Splitting a Concave Domain to Convex Subdomains

Liping Liu & Michal Křížek

J. Comp. Math., 16 (1998), pp. 327-336.

Published online: 1998-08

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  • 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.

  • Keywords

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

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COPYRIGHT: © Global Science Press

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@Article{JCM-16-327, author = {Liu , Liping and Křížek , Michal}, title = {Splitting a Concave Domain to Convex Subdomains}, journal = {Journal of Computational Mathematics}, year = {1998}, volume = {16}, number = {4}, pages = {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.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9163.html} }
TY - JOUR T1 - Splitting a Concave Domain to Convex Subdomains AU - Liu , Liping AU - Křížek , Michal JO - Journal of Computational Mathematics VL - 4 SP - 327 EP - 336 PY - 1998 DA - 1998/08 SN - 16 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/9163.html KW - Nonlinear elliptic boundary value problems, heat radiation problem, finite elements, variational inequalities. AB -

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.

Liu , Liping and Křížek , Michal. (1998). Splitting a Concave Domain to Convex Subdomains. Journal of Computational Mathematics. 16 (4). 327-336. doi:
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