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Persistent URL http://purl.org/net/epubs/work/51039
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Record Id 51039
Title On accurate and time efficient solution of primal-mixed finite element equations in multiscale solid mechanics
Abstract 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 displacment and stress variables are simultaneously solved from large scale indefinite poorly scaled systems of equations using the sparse HSL solver MA57 with the aid of the matrix scaling routines MC64 or MC30 during the factorization process, enables a reliable soluiotn 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 theromelasticity are examined to test the accuracy and execution time efficiency of the proposed solution approach on a standard PC computing platform.
Organisation CSE , CSE-NAG , STFC
Keywords multifrontal method , HSL , solid mechanics , time efficient , indefinite , scaling , thermoelasticity , geometrically multiscale , primal-mixed finite element , reliable
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Language English (EN)
Type Details URI(s) Local file(s) Year
Report RAL Technical Reports RAL-TR-2009-013. 2009. dumiRAL2009013.pdf 2009
Journal Article International Journal for Numerical Methods in Biomedical Engineering 27, no. 1 (2011): 95-112. doi:10.1002/cnm.1296 2011
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