CUED Publications database

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

Rhebergen, S and Wells, GN and Katz, RF and Wathen, AJ (2014) Analysis of block preconditioners for models of coupled magma/mantle dynamics. SIAM Journal on Scientific Computing, 36. A1960-A1977. ISSN 1064-8275

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� 2014 Society for Industrial and Applied Mathematics. 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.

Item Type: Article
Divisions: Div C > Applied Mechanics
Depositing User: Cron Job
Date Deposited: 17 Jul 2017 19:34
Last Modified: 19 Jul 2018 07:18