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Symmetrization of matrix technique in a finite element context
Authors:N.K. Garg  C. Taylor
Affiliation:Department of Civil Engineering, University of Wales, University College of Swansea, Singleton Park, Swansea SA2 8PP Australia
Abstract:A finite element Galerkin-based formulation of the mass conservation and momentum equations can require, if convective type terms are retained in the coefficient matrix, a non-symmetric solver. The resulting increase in core storage for efficient utilization of CPU time can be considerable. The current paper advocates a simple symmetrization of matrix technique, at element level which results in a considerable reduction in core requirement. The increase in CPU time required when solving linear systems of equations is considerable. However, for nonlinear systems the penalty can be negligible.
Keywords:mathematical model  symmetrization  finite element  matrices
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