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

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

@Article{JCM-16-327, author = {}, 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 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 KW - heat radiation problem KW - finite elements KW - 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.