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Novel basis functions for the partition of unity boundary element method for 2D Helmholtz problems

Peake, M.J.; Trevelyan, J.; Coates, G.

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Authors

M.J. Peake

J. Trevelyan

G. Coates



Abstract

The boundary element method (BEM) is a popular tool for wave scattering problems. To reduce the number of degrees of freedom required, the partition of unity BEM (PUBEM) was developed in which the approximation space is enriched with a linear combination of plane-waves. Recent work has shown that the element ends are more susceptible to errors in the approximation than the mid-element regions. In this paper we propose that this is due to the reduced order of continuity in the Lagrangian shape function component of the basis functions. It will demonstrated that choosing trigonometric shapes functions, rather than classical quadratic shape functions, provides accuracy benefits.

Citation

Peake, M., Trevelyan, J., & Coates, G. (2014, December). Novel basis functions for the partition of unity boundary element method for 2D Helmholtz problems. Presented at 10th World Congress on Computational Mechanics, São Paulo, Brazil

Presentation Conference Type Conference Paper (published)
Conference Name 10th World Congress on Computational Mechanics
Publication Date Jan 1, 2014
Deposit Date Oct 3, 2012
Publicly Available Date Jan 26, 2016
Volume 1
Series ISSN 2358-0828
Book Title Blucher mechanical engineering proceedings : 10th World Congress on Computational Mechanics.
DOI https://doi.org/10.5151/meceng-wccm2012-18368
Public URL https://durham-repository.worktribe.com/output/1156422
Additional Information Conference held 8-13 July 2012

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