Mat-1.3656 Numeerisen
analyysin ja laskennallisen tieteen seminaari.
Ma 23.4. 2007
Professor Michal Krizek
Institute of Mathematics
Czech Academy of Sciences
Finite element
approximation of a nonlinear
heat conduction problem in anisotropic media
We give a survey of results which were obtained in solving a
stationary nonlinear heat conduction problem by the finite element
method.
In particular, we present uniqueness theorems for the classical and
weak
solutions, a comparison theorem, existence theorems for the weak and
finite element solutions, approximation of a curved boundary and
numerical
inetgration, a discrete maximum principle, convergence without any
regularity assumptions, a priori error estimates, nonlinear boundary
conditions and numerical algorithms.