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Full Record Details
DOI
10.5286/raltr.2009013
Persistent URL
http://purl.org/net/epubs/work/51039
Record Status
Checked
Record Id
51039
Title
On accurate and time efficient solution of primal-mixed finite element equations in multiscale solid mechanics
Contributors
IS Duff (STFC Rutherford Appleton Lab.)
,
D Mijuca
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
HSL
,
reliable
,
solid mechanics
,
scaling
,
time efficient
,
geometrically multiscale
,
multifrontal method
,
primal-mixed finite element
,
thermoelasticity
,
indefinite
Funding Information
Related Research Object(s):
49216072
Licence Information:
Language
English (EN)
Type
Details
URI(s)
Local file(s)
Year
Report
RAL Technical Reports
RAL-TR-2009-013. STFC, 2009.
dumiRAL2009013.pdf
2009
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