Analysis of Block Preconditioners for Models of Coupled Magma-Mantle DynamicsReport as inadecuate


Analysis of Block Preconditioners for Models of Coupled Magma-Mantle Dynamics


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Publication Date: 2014-08-19

Journal Title: SIAM Journal on Scientific Computing

Publisher: SIAM

Volume: 36

Issue: 4

Pages: A1960-A1977

Language: en_US

Type: Article

Metadata: Show full item record

Citation: Rhebergen, S., Wells, G. N., Katz, R. F., & Wathen, A. J. (2014). Analysis of Block Preconditioners for Models of Coupled Magma/Mantle Dynamics. SIAM Journal on Scientific Computing, 36 (4), A1960-A1977.

Description: This is the published version of the manuscript. It was originally published by SIAM in the SIAM Journal on Scientific Computing here: http://epubs.siam.org/doi/abs/10.1137/130946678.

Abstract: This article considers the iterative solution of a finite element discretization of the magma dynamics equations. In simplified form, the magma dynamics equations share some features of the Stokes equations. We therefore formulate, analyze, and numerically test an 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 on parameters in the magma dynamics equations that can affect convergence of iterative linear solvers. The analysis is verified through a range of two- and three-dimensional numerical examples on unstructured grids, from simple illustrative problems through to large problems on subduction zone–like geometries. The computer code to reproduce all numerical examples is freely available as supporting material.

Identifiers:

This record's URL: http://www.repository.cam.ac.uk/handle/1810/245773http://dx.doi.org/10.1137/130946678





Author: Rhebergen, SanderWells, Garth N.Katz, Richard F.Wathen, Andrew J.

Source: https://www.repository.cam.ac.uk/handle/1810/245773



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