Multipoint stress mixed finite element methods for the linear Cosserat equations

作者：Wietse M. Boon, Alessio Fumagalli, Jan M. Nordbotten, Ivan Yotov · 发表于：Computers & Mathematics with Applications · 年份：2026 · DOI：10.1016/j.camwa.2026.08.017 · 研究领域：Nonlocal and gradient elasticity in micro/nano structures、Advanced Numerical Methods in Computational Mathematics、Composite Structure Analysis and Optimization

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.