Gudi, Thirupathi and Gupta, Hari Shanker and Nataraj, Neela (2013) Analysis of an Interior Penalty Method for Fourth Order Problems on Polygonal Domains. In: JOURNAL OF SCIENTIFIC COMPUTING, 54 (1). pp. 177-199.
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Official URL: http://dx.doi.org/10.1007/s10915-012-9612-9
Abstract
Error analysis for a stable C (0) interior penalty method is derived for general fourth order problems on polygonal domains under minimal regularity assumptions on the exact solution. We prove that this method exhibits quasi-optimal order of convergence in the discrete H (2), H (1) and L (2) norms. L (a) norm error estimates are also discussed. Theoretical results are demonstrated by numerical experiments.
| Item Type: | Journal Article |
|---|---|
| Publication: | JOURNAL OF SCIENTIFIC COMPUTING |
| Publisher: | SPRINGER/PLENUM PUBLISHERS |
| Additional Information: | Copyright for this article belongs to SPRINGER/PLENUM PUBLISHERS,NEW YORK, USA |
| Keywords: | Finite element;C-0 interior penalty;Discontinuous Galerkin;Error estimate;Fourth order |
| Department/Centre: | Division of Physical & Mathematical Sciences > Mathematics |
| Date Deposited: | 28 Jan 2013 07:42 |
| Last Modified: | 28 Jan 2013 07:42 |
| URI: | http://eprints.iisc.ac.in/id/eprint/45657 |
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