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A Note on the Effect of the Choice of Weak Form on GMRES Convergence for Incompressible Nonlinear Elasticity Problems

Abstract:

The generalized minimal residual (GMRES) method is a common choice for solving the large nonsymmetric linear systems that arise when numerically computing solutions of incompressible nonlinear elasticity problems using the finite element method. Analytic results on the performance of GMRES are available on linear problems such as linear elasticity or Stokes' flow (where the matrices in the corresponding linear systems are symmetric), or on the nonlinear problem of the Navier-Stokes flow (wher...

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Publication status:
Published

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Publisher copy:
10.1115/1.4000414

Authors


Pathmanathan, P More by this author
More by this author
Institution:
University of Oxford
Department:
Oxford, MPLS, Computer Science
More by this author
Institution:
University of Oxford
Department:
Oxford, MPLS, Mathematical Inst
Gavaghan, DJ More by this author
Journal:
JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME
Volume:
77
Issue:
3
Pages:
1-6
Publication date:
2010-05-05
DOI:
EISSN:
1528-9036
ISSN:
0021-8936
URN:
uuid:71e28887-4336-4283-8105-a9e5105b11c5
Source identifiers:
51966
Local pid:
pubs:51966

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