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On Adaptive Definition of the Plane Wave Basis for Wave Boundary Elements in Acoustic Scattering: the 2D Case

J. Trevelyan1and G. Coates1

1 School of Engineering & Computing Sciences, Durham University, UK.

Computer Modeling in Engineering & Sciences 2010, 55(2), 147-170. https://doi.org/10.3970/cmes.2010.055.147

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.

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APA Style
Coates, J.T.G. (2010). On adaptive definition of the plane wave basis for wave boundary elements in acoustic scattering: the 2D case. Computer Modeling in Engineering & Sciences, 55(2), 147-170. https://doi.org/10.3970/cmes.2010.055.147
Vancouver Style
Coates JTG. On adaptive definition of the plane wave basis for wave boundary elements in acoustic scattering: the 2D case. Comput Model Eng Sci. 2010;55(2):147-170 https://doi.org/10.3970/cmes.2010.055.147
IEEE Style
J.T.G. Coates, "On Adaptive Definition of the Plane Wave Basis for Wave Boundary Elements in Acoustic Scattering: the 2D Case," Comput. Model. Eng. Sci., vol. 55, no. 2, pp. 147-170. 2010. https://doi.org/10.3970/cmes.2010.055.147



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