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Persistent URL http://purl.org/net/epubs/work/61780
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Record Id 61780
Title New parallel sparse direct solvers for engineering applications
Abstract At the heart of many computations in engineering lies the need to efficiently and accurately solve large sparse linear systems of equations. Direct methods are frequently the method of choice ecause of their robustness, accuracy and their potential for use as black-box solvers. In the last few years, there have been many new developments and a number of new modern parallel general-purpose sparse solvers have been written for inclusion within the HSL mathematical software library (http://www.hsl.rl.ac.uk/). In this paper, we introduce and briefly review these solvers for symmetrically structured sparse systems. We describe the algorithms used, highlight key features (including bit-compatibility and out-of-core working), and then, using problems arising from a range of engineering applications, we illustrate and compare their performances. We demonstrate that modern direct solvers are able to accurately solve systems of order 10^6 in less than 10 minutes on an 8-core machine.
Organisation CSE , CSE-NAG , STFC
Keywords parallel , Fortran 95 , sparse matrices , multifrontal , sparse linear systems , OpenMP , direct solvers , symmetric systems , supernodal , bit-compatibility
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Language English (EN)
Type Details URI(s) Local file(s) Year
Report RAL Preprints RAL-P-2012-001. 2012. RAL-P-2012-001.pdf 2012