On accurate and time efficient solution of primal-mixed finite element equations in multiscale solid mechanics
On accurate and time efficient solution of primal-mixed finite element equations in multiscale solid mechanics
复制标题
多尺度固体力学中原始混合有限元方程的精确且高效的求解
DOI：
10.1002/cnm.1296
复制
发表时间：
2010
影响因子：
2.1
通讯作者：
Duff I
中科院分区：
文献类型：
--
作者：
Duff I
In order to identify the best technique to solve a class of geometrically multiscale model problems in thermoelasticity, we examine a combination of a primal‐mixed finite element approach and direct sparse solvers and matrix scaling routines. The criteria for optimality are robustness, accuracy and execution time. It will be shown that the present finite element approach, where displacement and stress variables are simultaneously solved from large‐scale indefinite poorly scaled systems of equations using the sparseHSLsolverMA57with the aid of the matrix scaling routinesMC64orMC30during the factorization process, enables a reliable solution even if hexahedral finite elements in a mesh differ in size up to six orders of magnitude. A number of tests in multiscale elasticity and thermoelasticity are examined to test the accuracy and execution time efficiency of the proposed solution approach on a standard PC computing platform. Copyright © 2009 John Wiley & Sons, Ltd.
