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A coupled Partition of Unity FEM-collocation BEM for acoustic wave scattering in heterogeneous media in two dimensions

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

Authors

G.C. Diwan

J. Trevelyan

G. Coates



Abstract

The Finite Element Method (FEM) is known for its versatility to handle complex geometries and het- erogeneities in the medium properties, while the Boundary Element Method (BEM) is known for its ability of exact treatment of waves propagating to infinity for wave problems. In this paper, we pro- pose a coupled formulation of partition of unity FEM (PUFEM) and partition of unity BEM (PUBEM) to solve acoustic scattering problems in a heterogeneous medium. Numerical examples are presented to establish the convergence of the proposed method. Two of the well known non-reflecting boundary conditions for wave problems are implemented and their performance is compared against the coupled PUFEM-PUBEM results.

Citation

Diwan, G., Trevelyan, J., & Coates, G. (2014). A coupled Partition of Unity FEM-collocation BEM for acoustic wave scattering in heterogeneous media in two dimensions.

Conference Name 22nd Conference of the UK Association for Computational Mechanics in Engineering
Conference Location Exeter, UK
Start Date Apr 2, 2014
End Date Apr 4, 2014
Publication Date Jan 1, 2014
Deposit Date Jan 5, 2016
Keywords Wave scattering, Partition of unity method, Non-reflecting boundary condition, Boundary integral equation, Heterogeneous media

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