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Full Record Details
DOI
10.5286/raltr.2008009
Persistent URL
http://purl.org/net/epubs/work/42971
Record Status
Checked
Record Id
42971
Title
On the efficient solution of mixed finite element equations in geometrically multiscale thermal stress analysis
Contributors
IS Duff (STFC Rutherford Appleton Lab.)
,
D Mijuca
Abstract
In order to identify the best technique to solve poorly scaled systems of linear equations arising in a primal-mixed finite-element approach (FEMIX) in eometrically multiscale thermoelasticity, we examine the combination of HSL direct sparse solvers and matrix scaling routines. The criteria for optimality were robustness, accuracy and execution time. It will be shown that the present approach FEMIX-HSL enables the reliable solution of finite-element model problems where finite elements can differ in size by several orders of magnitude. In addition, it will be shown that by use of the HSL MA57 sparse solver and one of the scaling routines NC64 or MC30 during the factorization process, the execution time is at least two orders of magnitude faster than using a previous solver based on simple Gaussian elimination and that the accuracy of the solution is maintained even if the system matrix is poorly scaled. A number of pathological tests in elasticity and thermoelasticity are examined to test the robustness and execution time of the solvers. Model problems are examined in nanoindentation and microsized coating, where accurate and straightforward calculation of stress in the solid body and on surfaces of material discontinuity is of the utmost importance. The numerical experiments are reformed on a standard PC computing platform.
Organisation
CSE
,
STFC
Keywords
HSL
,
solid mechanics
,
scaling
,
time efficient
,
sparse
,
mixed finite element
,
thermo-mechanical coupling
,
multifield
,
multifrontal method
,
multiscale
,
indefinite
Funding Information
Related Research Object(s):
Licence Information:
Language
English (EN)
Type
Details
URI(s)
Local file(s)
Year
Report
RAL Technical Reports
RAL-TR-2008-009. STFC, 2008.
dumiRAL2008009.pdf
2008
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