# A vertex-based finite volume method applied to non-linear material problems in computational solid mechanics

Taylor, G.A., Bailey, C. and Cross, M.
(2002)
*A vertex-based finite volume method applied to non-linear
material problems in computational solid mechanics.*
International Journal for Numerical Methods in Engineering, 56 (4).
pp. 507-529.
ISSN 0029-5981 (Print), 1097-0207 (Online)
(doi:10.1002/nme.574)

## Abstract

A vertex-based finite volume (FV) method is presented for the computational solution of quasi-static solid mechanics problems involving material non-linearity and infinitesimal strains. The problems are analysed numerically with fully unstructured meshes that consist of a variety of two- and threedimensional element types. A detailed comparison between the vertex-based FV and the standard Galerkin FE methods is provided with regard to discretization, solution accuracy and computational efficiency. For some problem classes a direct equivalence of the two methods is demonstrated, both theoretically and numerically. However, for other problems some interesting advantages and disadvantages of the FV formulation over the Galerkin FE method are highlighted.

Item Type: | Article |
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Additional Information: | [1] Manuscript accepted: 28 February 2002. [2] First published online: 22 November 2002. [3] Published in print: 28 January 2003. |

Uncontrolled Keywords: | finite volume, vertex-based, computational solid mechanics |

Subjects: | Q Science > QA Mathematics |

Pre-2014 Departments: | School of Computing & Mathematical Sciences School of Computing & Mathematical Sciences > Centre for Numerical Modelling & Process Analysis School of Computing & Mathematical Sciences > Centre for Numerical Modelling & Process Analysis > Computational Mechanics & Reliability Group School of Computing & Mathematical Sciences > Centre for Numerical Modelling & Process Analysis > Computational Science & Engineering Group School of Computing & Mathematical Sciences > Department of Computer Systems Technology School of Computing & Mathematical Sciences > Department of Mathematical Sciences |

Related URLs: | |

Last Modified: | 14 Oct 2016 09:01 |

URI: | http://gala.gre.ac.uk/id/eprint/676 |

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