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On adaptive definition of the plane wave basis for wave boundary elements in acoustic scattering : the 2D case.

Trevelyan, J. and Coates, G. (2010) 'On adaptive definition of the plane wave basis for wave boundary elements in acoustic scattering : the 2D case.', Computer modeling in engineering and sciences., 55 (2). pp. 147-170.

Abstract

The terminology "wave boundary elements" relates to boundary elements enriched in the Partition of Unity sense by a multiple plane wave basis for the analysis of the propagation of short wavelength waves. This paper presents a variant of this approach in which the plane wave basis is selected adaptively according to an error indicator. The error indicator is residual based, and exhibits useful local and global properties. Model improvement in each adaptive iteration is carried out by the addition of new plane waves with no h-refinement. The convergence properties of the scheme are demonstrated.

Item Type:Article
Keywords:Wave scattering, Plane wave basis, Boundary integral equation, Boundary elements, Adaptivity.
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Status:Peer-reviewed
Publisher Web site:http://dx.doi.org/10.3970/cmes.2010.055.147
Date accepted:No date available
Date deposited:No date available
Date of first online publication:2010
Date first made open access:No date available

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