A Local Regularization Operator for Triangular and Quadrilateral Finite Elements

Authors:
C. Bernardi;V. Girault
Affiliations:
-;-
Venue:
SIAM Journal on Numerical Analysis
Year:
1998

Citing 0
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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 Clément; 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.