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.
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|
|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|
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