A local regularization operator for triangular and quadrilateral finite elements

Bernardi, C and Girault, V (1998) A local regularization operator for triangular and quadrilateral finite elements. In: SIAM Journal of Numerical Analysis, 35 (5). pp. 1893-1916.

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Abstract

This paper develops a local regularization operator on triangular or quadrilateral finite elements built on structured or unstructured meshes. This operator is a variant of the regularization operator of Clement; however, ours is constructed via a local projection in a reference domain. We prove in this paper that it has the same optimal approximation properties as the standard interpolation operator, and we present some applications.

Item Type:	Journal Article
Publication:	SIAM Journal of Numerical Analysis
Publisher:	Society for Industrial and Applied Mathematics
Additional Information:	Copyright for this article belongs to Society for Industrial and Applied Mathematics (SIAM)
Keywords:	regularization operator;triangular finite elements;quadrilateral finite elements
Department/Centre:	Division of Physical & Mathematical Sciences
Date Deposited:	02 Jun 2004
Last Modified:	19 Sep 2010 04:12
URI:	http://eprints.iisc.ac.in/id/eprint/55

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