L2‐estimates for the DG IIPG‐0 scheme |
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| Authors: | Blanca Ayuso de Dios Franco Brezzi Oto Havle L. Donatella Marini |
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| Affiliation: | 1. Centre de Recerca Matematica, CRM UAB Science Faculty, Bellaterra, Barcelona 08193, Spain;2. IMATI del CNR, Via Ferrata 1, Pavia 27100, Italy;3. IUSS, V.le Lungo Ticino Sforza 56, 27100, Pavia, Italy;4. Faculty of Mathematics and Physics, Charles University, Prague, Czech Republic;5. Dipartimento di Matematica, Università di Pavia, Via Ferrata 1, Pavia 27100, Italy |
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| Abstract: | We discuss the optimality in L2 of a variant of the Incomplete Discontinuous Galerkin Interior Penalty method (IIPG) for second order linear elliptic problems. We prove optimal estimate, in two and three dimensions, for the lowest order case under suitable regularity assumptions on the data and on the mesh. We also provide numerical evidence, in one dimension, of the necessity of the regularity assumptions. © 2011 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 2012 |
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| Keywords: | discontinuous galerkin nonsymmetric interior penalty |
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