Almost Optimal Interior Penalty Discontinuous Approximations of Symmetric Elliptic Problems on Non-Matching Grids.

Lazarov, R. D. ; Pasciak, J. E. ; Schoeberl, J. ; Vassilevski, P. S.

Technical Information Center Oak Ridge Tennessee

关键词: Elliptic differential equations;    Approximation;    Grids;    Symmetry;    Finite element method;   

RP-ID  :  DE200415006515

学科分类：工程和技术（综合）

美国|英语

来源: National Technical Reports Library

【 摘 要 】

We consider an interior penalty discontinuous approximation for symmetric elliptic problems of second order on non-matching grids in this paper. The main result is an almost optimal error estimate for the interior penalty approximation of the original problem based on the partition of the domain into a finite number of subdomains. Further, an error analysis for the finite element approximation of the penalty formulation is given. Finally, numerical experiments on a series of model second order problems are presented.