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.