Energetic Galerkin BEM for wave propagation
Neumann exterior problems
A. Aimi; M. Diligenti and S. Panizzi

doi:10.3970/cmes.2010.058.185
Source CMES: Computer Modeling in Engineering & Sciences, Vol. 58, No. 2, pp. 185-220, 2010
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Keywords wave propagation, Neumann exterior problems, energy identity, hypersingular boundary integral equation, Galerkin boundary element method.
Abstract In this paper we consider 2D wave propagation Neumann exterior problems reformulated in terms of a hypersingular boundary integral equation with retarded potential. Starting from a natural energy identity satisfied by the solution of the differential problem, the related integral equation is set in a suitable space-time weak form. Then, a theoretical analysis of the introduced formulation is proposed, pointing out the novelties with respect to existing literature results. At last, various numerical simulations will be presented and discussed, showing accuracy and stability of the space-time Galerkin boundary element method applied to the energetic weak problem.
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