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

Lazarov, R D ; Pasciak, J E ; Schoberl, J ; Vassilevski, P S

Lawrence Livermore National Laboratory

关键词: Symmetry;    Data Covariances;    Semiclassical Approximation;    Finite Element Method;    99 General And Miscellaneous//Mathematics, Computing, And Information Science;   

DOI  :  10.2172/15006515
RP-ID  :  UCRL-ID-144892
RP-ID  :  W-7405-ENG-48
RP-ID  :  15006515

美国|英语

来源: UNT Digital 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.