Comparison of CHIEF and Burton-Miller approaches in collocation Partition of Unity BEM for Helmholtz problems

Diwan, G.C.; Trevelyan, J.; Coates, G.

Comparison of CHIEF and Burton-Miller approaches in collocation Partition of Unity BEM for Helmholtz problems

Diwan, G.C.; Trevelyan, J.; Coates, G.

Authors

G.C. Diwan

J. Trevelyan

G. Coates

Abstract

Use of plane wave basis for the numerical solutions of acoustic wave problems using element based methods has become an attractive approach for extending the allowable frequency range for simulations beyond that available using piecewise polynomial elements. The non-uniqueness of the solution at characteristic frequencies resulting from the use of the conventional boundary integral equation is well known. The standard methods of overcoming this problem are the so-called CHIEF method and that of Burton and Miller. The latter method introduces a hypersingular integral which can be treated in several ways. In this paper we present results for Partition of Unity BEM (PUBEM) for Helmholtz problem and compare the performance of CHIEF against a Burton-Miller formulation regularised using the approach of Chen et al.

Citation

Diwan, G., Trevelyan, J., & Coates, G. (2013). Comparison of CHIEF and Burton-Miller approaches in collocation Partition of Unity BEM for Helmholtz problems.

Conference Name	9th UK Conference on Boundary Integral Methods
Conference Location	Aberdeen, UK
Start Date	Jul 8, 2013
End Date	Jul 9, 2013
Publication Date	Jan 1, 2013
Deposit Date	Jan 5, 2016
Publicly Available Date	Jan 13, 2016
Publisher URL	http://www.abdn.ac.uk/engineering/events/accepted-abstracts-190.php