| Summary: | 碩士 === 國立交通大學 === 應用數學研究所 === 82 === An adaptive approach is developed for finite element
approximations of a class of elliptic variational inequalities.
The adaptive procedure is based on the SOR method, a weak-
residual type of a posteriori error estimation for the computed
finite element solutions, and the 1-irregular mesh refinement
scheme. Various model problems arising from such as fluid flow
in a porous medium, obstacles problems, and semiconductor
device simulation are cast into a generic variatiional
formulation in terms of approximation as well as error
estimation. Reliability of the local error estimators and hence
the computed solutions will be illustiated by some numerical
experiments. Special attention is paid to the efficient
resolution of the geometries in these model problems.
|
|---|
