Superconvergence of simple conforming mixed finite elements for linear elasticity on rectangular grids in any space dimension

Abstract

This paper is to prove superconvergence of a family of simple conforming mixed finite elements of first orderfor the linear elasticity problem with the Hellinger--Reissner variational formulation. The analysis is based on three main ingredients: a new interpolation operator, a new expansion method, and a new iterative argument for superconvergence analysis.

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