In this paper a fast solver for three-dimensional anisotropic elasticity BEM problems is developed. The technique is based on the use of hierarchical matrices for the representation of the collocation matrix and uses a preconditioned GMRES for the solution of the algebraic system of equations. The preconditioner is built exploiting the hierarchical arithmetic and taking full advantage of the hierarchical format. The application of hierarchical matrices to the BEM solution of anisotropic elasticity problems has been numerically demonstrated highlighting both accuracy and efficiency leading to almost linear computational complexity.

Benedetti, I., Milazzo, A., Aliabadi, M.H. (2008). A fast 3D BEM for anisotropic elasticity based on hierarchical matrices. In Advances in boundary element techniques IX (pp.433-438). EASTLEIGH : EC Ltd.

A fast 3D BEM for anisotropic elasticity based on hierarchical matrices

BENEDETTI, Ivano;MILAZZO, Alberto;
2008-01-01

Abstract

In this paper a fast solver for three-dimensional anisotropic elasticity BEM problems is developed. The technique is based on the use of hierarchical matrices for the representation of the collocation matrix and uses a preconditioned GMRES for the solution of the algebraic system of equations. The preconditioner is built exploiting the hierarchical arithmetic and taking full advantage of the hierarchical format. The application of hierarchical matrices to the BEM solution of anisotropic elasticity problems has been numerically demonstrated highlighting both accuracy and efficiency leading to almost linear computational complexity.
2008
IX International Conference on Boundary Element Techniques
Siviglia
9-11 luglio 2008
9.
2008
6
Benedetti, I., Milazzo, A., Aliabadi, M.H. (2008). A fast 3D BEM for anisotropic elasticity based on hierarchical matrices. In Advances in boundary element techniques IX (pp.433-438). EASTLEIGH : EC Ltd.
Proceedings (atti dei congressi)
Benedetti, I; Milazzo, A; Aliabadi, M H
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10447/43432
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