A Local Regularization Operator for Triangular and Quadrilateral Finite Elements

Christine Bernardi (1) , Vivette Girault (1)

1 Laboratoire d'Analyse Numérique

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. Introduction.

Mots clés: regularization operator; triangular finite elements; quadrilateral finite elements

Domaines: Mécanique des structures [physics.class-ph]

Christine Bernardi, Vivette Girault. A Local Regularization Operator for Triangular and Quadrilateral Finite Elements. SIAM Journal on Numerical Analysis, 1998, 35 (5), pp.1893-1916. ⟨10.1137/S0036142995293766⟩. ⟨hal-01793439⟩