Almost optimal interior penalty discontinuous approximations of symmetric elliptic problems on non-matching grids Academic Article

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 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.

authors

• Lazarov, Raytcho
• Pasciak, Joseph

published proceedings

• NUMERISCHE MATHEMATIK

author list (cited authors)

• Lazarov, R. D., Pasciak, J. E., Schoberl, J., & Vassilevski, P. S.

citation count

• 7

complete list of authors

• Lazarov, RD||Pasciak, JE||Schoberl, J||Vassilevski, PS

publication date

• December 2003

publisher

• Springer Nature  Publisher

published in

• Numerische Mathematik  Journal

keywords

• 49 Mathematical Sciences
• 4901 Applied Mathematics
• 4903 Numerical And Computational Mathematics

Digital Object Identifier (DOI)

• 10.1007/s00211-003-0476-7

start page

• 295

end page

• 315

volume

• 96

issue

• 2

URL

• http%3A%2F%2Fdx.doi.org%2F10.1007%2Fs00211-003-0476-7