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Analysis of block-preconditioners for models of coupled magma/mantle dynamics

Abstract:

This article considers the iterative solution of a finite element discretisation of the magma dynamics equations. In simplified form, the magma dynamics equations share some features of the Stokes equations. We therefore formulate, analyse and numerically test a Elman, Silvester and Wathen-type block preconditioner for magma dynamics. We prove analytically and demonstrate numerically the optimality of the preconditioner. The presented analysis highlights the dependence of the preconditioner o...

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Publication status:
Published

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Publisher copy:
10.1137/130946678

Authors


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Institution:
University of Oxford
Division:
MPLS
Department:
Earth Sciences
Role:
Author
More by this author
Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
Journal:
SIAM J. Sci. Comput., 36(4), A1960-A1977 More from this journal
Volume:
36
Issue:
4
Pages:
A1937-A1977
Publication date:
2013-11-25
DOI:
EISSN:
1095-7197
ISSN:
1064-8275
Keywords:
Pubs id:
pubs:440126
UUID:
uuid:d5111665-ae7d-40a3-b216-51935d060ac6
Local pid:
pubs:440126
Source identifiers:
440126
Deposit date:
2014-02-07

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