An adaptive cross approximation (ACA) for the extended boundary element method (XBEM) in anisotropic materials

Kettle, S.; Hattori, G.; Campos, L.; Trevelyan, J.; Albuquerque, E.L.

An adaptive cross approximation (ACA) for the extended boundary element method (XBEM) in anisotropic materials

Kettle, S.; Hattori, G.; Campos, L.; Trevelyan, J.; Albuquerque, E.L.

Authors

S. Kettle

G. Hattori

L. Campos

J. Trevelyan

E.L. Albuquerque

Abstract

The extended boundary element method (XBEM) is a modification from the standard BEM, where enrichment functions are embedded into the BEM formulation. The results obtained with this method were seen to be accurate and stable, being especially useful for fracture problems. However, the method suffers from the presence of a linear system containing unsymmetric and fully populated matrices which needs to be solved in order to get the solution of the boundary problem. This can be computationally expensive for problems dealing with multiple cracks for instance. Adaptive cross approximation (ACA) is used to reduce the number of operations necessary to solve the linear system of equations for a fracture problem with an anisotropic material.

Citation

Kettle, S., Hattori, G., Campos, L., Trevelyan, J., & Albuquerque, E. (2016). An adaptive cross approximation (ACA) for the extended boundary element method (XBEM) in anisotropic materials. In Proceedings of the 24th UK Conference of the Association for Computational Mechanics in Engineering, 31 March - 01 April 2016, Cardiff University, Cardiff (218-221)

Conference Name	24th UK Conference of the Association for Computational Mechanics in Engineering
Conference Location	Cardiff, UK
Start Date	Mar 31, 2023
End Date	Apr 1, 2016
Acceptance Date	Feb 15, 2016
Publication Date	Apr 1, 2016
Deposit Date	Apr 6, 2016
Publicly Available Date	Apr 7, 2016
Publisher	Cardiff University
Pages	218-221
Book Title	Proceedings of the 24th UK Conference of the Association for Computational Mechanics in Engineering, 31 March - 01 April 2016, Cardiff University, Cardiff.
Publisher URL	http://acme2016.sciencesconf.org/85224