Adaptive Finite Element approximations for Variational Inequalities

• Main Authors: A-shuang Yiu, 游阿爽
• Other Authors: Jinn-Liang Liu
• Format: Others
• Language: en_US
• Published: 1994
• Online Access: http://ndltd.ncl.edu.tw/handle/34307596499162836912

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.