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

2014/06/29 by Jun Hu, Hu, Jun, Shangyou Zhang +1 · 1 citation
Engineering · #Advanced Numerical Methods in Computational Mathematics #Composite Structure Analysis and Optimization #FOS: Mathematics #Numerical Analysis (math.NA) #Numerical methods in engineering

paper · pdf · doi:10.48550/arxiv.1406.7458

openalex publication_date 2014/06/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Mixed finite elements for elasticity

Cited by

• The coupling of mixed and primal finite element methods for the coupled body-plate problem

Related

• Rectangular Mixed Elements for Elasticity with Weakly Imposed symmetry Condition
• The simplest mixed finite element method for linear elasticity in the symmetric formulation on n-rectangular grids
• A new family of efficient conforming mixed finite elements on both rectangular and cuboid meshes for linear elasticity in the symmetric formulation
• Two remarks on rectangular mixed finite elements for elasticity
• Conforming mixed triangular prism and nonconforming mixed tetrahedral elements for the linear elasticity problem