Fallah, N.A., Bailey, C. ORCID: https://orcid.org/0000-0002-9438-3879, Cross, M. and Taylor, G.A. (2000) Comparison of finite element and finite volume methods application in geometrically nonlinear stress analysis. Applied Mathematical Modelling, 24 (7). pp. 439-455. ISSN 0307-904X (doi:10.1016/S0307-904X(99)00047-5)

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Abstract

A novel three-dimensional finite volume (FV) procedure is described in detail for the analysis of geometrically nonlinear problems. The FV procedure is compared with the conventional finite element (FE) Galerkin approach. FV can be considered to be a particular case of the weighted residual method with a unit weighting function, where in the FE Galerkin method we use the shape function as weighting function. A Fortran code has been developed based on the finite volume cell vertex formulation. The formulation is tested on a number of geometrically nonlinear problems. In comparison with FE, the results reveal that FV can reach the FE results in a higher mesh density.

Item Type:	Article
Uncontrolled Keywords:	finite element, finite volume, geometrically nonlinear
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:	Publisher Organisation
Last Modified:	13 Mar 2019 11:30
URI:	http://gala.gre.ac.uk/id/eprint/260

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