The Arnold–Winther mixed FEM in linear elasticity. Part I: Implementation and numerical verification

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• 作者：C. Carstensen ; D. G&#xfc ; nther ; J. Reininghaus ; J. Thiele
• 关键词：Linear elasticity ; Mixed finite element method ; Locking ; Arnold– ; Winther ; Implementation ; Experimental convergence rates
• 刊名：Computer Methods in Applied Mechanics and Engineering
• 出版年：2008
• 出版时间：1 June 2008
• 年：2008
• 卷：197
• 期：33-40
• 页码：3014-3023
• 全文大小：253 K

文摘

Following some de Rham complex, Arnold and Winther have recently proposed a symmetric mixed finite element method (MFEM) in linear elasticity. This paper describes the implementation of the symmetric MFEM and its 30 × 30 local stress stiffness matrices and studies the implementation of the lowest-order scheme for general boundary conditions. Numerical experiments in model examples in computational mechanics illustrate the robust locking-free convergence behavior and support the theoretically predicted experimental convergence rates.