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ELEMENT-BY-ELEMENT POST-PROCESSING OF DISCONTINUOUS GALERKIN METHODS FOR NAGHDI ARCHES.
- Source :
-
International Journal of Numerical Analysis & Modeling . 2011, Vol. 8 Issue 3, p391-409. 19p. 1 Diagram, 2 Charts. - Publication Year :
- 2011
-
Abstract
- In this paper, we consider discontinuous Galerkin approximations to the solution of Naghdi arches and show how to post-process them in an element-by-element fashion to obtain a far better approximation. Indeed, we prove that, if polynomials of degree k are used, the postprocessed approximation converges with order 2k+1 in the L2-norm throughout the domain. This has to be contrasted with the fact that before post-processing, the approximation converges with order k + 1 only. Moreover, we show that this superconvergence property does not deteriorate as the thickness of the arch becomes extremely small. Numerical experiments verifying the abovementioned theoretical results are displayed. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 17055105
- Volume :
- 8
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- International Journal of Numerical Analysis & Modeling
- Publication Type :
- Academic Journal
- Accession number :
- 70126227