On the Superconvergence of a Conforming Mixed Finite Element for Linear Elasticity on Uniform n-Square Grids

doi:10.1007/s42967-025-00476-4

Abstract

Abstract: This paper is to prove one-order superconvergence of both stress and displacement of a conforming symmetric mixed finite element on uniform n-square grids, for the linear elasticity equation in the Hellinger-Reissner variational formulation. Numerical examples on 2D and 3D uniform square grids are computed, verifying the theory.

Key words: Mixed finite element, Linear elasticity, Conforming finite element, Superconvergence, Square grids

CLC Number:

Hongying Man, Shangyou Zhang. On the Superconvergence of a Conforming Mixed Finite Element for Linear Elasticity on Uniform n-Square Grids[J]. Communications on Applied Mathematics and Computation, 2026, 8(3): 851-867.

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