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DE200415006515

Publication Date	2001
Personal Author	Lazarov, R. D.; Pasciak, J. E.; Schoeberl, J.; Vassilevski, P. S.
Page Count	24
Abstract	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.
Keywords	Elliptic differential equations Approximation Grids Symmetry Finite element method Formulation Data covariances Error detection codes Estimates Discretization methods
Source Agency	Technical Information Center Oak Ridge Tennessee
Corporate Authors	Lawrence Livermore National Lab., CA.; Department of Energy, Washington, DC.
Supplemental Notes	Sponsored by Department of Energy, Washington, DC.
Document Type	Technical Report
NTIS Issue Number	200416

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

Almost Optimal Interior Penalty Discontinuous Approximations of Symmetric Elliptic Problems on Non-Matching Grids.
DE200415006515

Publication Date	2001
Personal Author	Lazarov, R. D.; Pasciak, J. E.; Schoeberl, J.; Vassilevski, P. S.
Page Count	24
Abstract	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.
Keywords	Elliptic differential equations Approximation Grids Symmetry Finite element method Formulation Data covariances Error detection codes Estimates Discretization methods
Source Agency	Technical Information Center Oak Ridge Tennessee
Corporate Authors	Lawrence Livermore National Lab., CA.; Department of Energy, Washington, DC.
Supplemental Notes	Sponsored by Department of Energy, Washington, DC.
Document Type	Technical Report
NTIS Issue Number	200416