Multipoint stress mixed finite element methods for the linear Cosserat equations

Computers & Mathematics with Applications 2026 Open access

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Authors: Wietse M. Boon, Alessio Fumagalli, Jan Martin Nordbotten, Ivan Yotov
DOI: 10.1016/j.camwa.2026.08.017
Cited by: 0
References: 24

Abstract

We propose mixed finite element methods for Cosserat materials that use suitable quadrature rules to eliminate the Cauchy and coupled stress variables locally. The reduced system consists of only the displacement and rotation variables. Four variants are proposed for which we show stability and convergence using a priori estimates. Numerical experiments verify the theoretical findings and higher order convergence is observed in some variables.

Fields of Study & Subjects

Nonlocal and gradient elasticity in micro/nano structures Advanced Numerical Methods in Computational Mathematics Composite Structure Analysis and Optimization

Publication details

Journal / source
Computers & Mathematics with Applications
Publisher
Elsevier BV
Volume
222
Pages
69–88
Publication date
9 September 2026
Language
EN