Almost optimal interior penalty discontinuous approximations of symmetric elliptic problems on non-matching grids
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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 partitioning 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.
author list (cited authors)
Lazarov, R. D., Pasciak, J. E., Schöberl, J., & Vassilevski, P. S.