A scalable approximate inverse block preconditioner for an incompressible magnetohydrodynamics model problem

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Persistent URL	http://purl.org/net/epubs/work/42415412
Record Status	Checked
Record Id	42415412
Title	A scalable approximate inverse block preconditioner for an incompressible magnetohydrodynamics model problem
Contributors	M Wathen (STFC Rutherford Appleton Lab.), C Greif
Abstract	We introduce a new approximate inverse preconditioner for a mixed finite element discretization of an incompressible magnetohydrodynamics (MHD) model problem. The derivation exploits the nullity of the discrete curl-curl operator in the Maxwell subproblem. We show that the inverse of the coefficient matrix contains zero blocks, and we use discretization considerations to further sparsify and obtain a practical preconditioner. We demonstrate the viability of our approach with a set of numerical experiments.
Organisation	STFC , SCI-COMP
Keywords
Funding Information
Related Research Object(s):	46737768
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Language	English (EN)

Type	Details	URI(s)	Local file(s)	Year
Preprint	RAL Preprints RAL-P-2019-002, SIAM J Sci Comput STFC, 2019.		RAL-P-2019-002.pdf	2019