Here we consider wave propagation for 2D Dirichlet or Neumann exterior problems reformulated in terms of boundary integral equations with retarded potential. Starting from a natural energy identity, a space-time weak formulation for the boundary integral equations is proposed and discussed. Some numerical results and applications are presented to show the effectiveness of the introduced approach.
A space-time Galerkin BEM for 2D exterior wave propagation problems / A. Aimi, M. Diligenti, I. Mazzieri, S. Panizzi, C. Guardasoni - In: Applied and Industrial Mathematics in Italy III : Selected Contributions from the 9th SIMAI Conference : Rome, Italy, 15–19 September 2008 / [a cura di] E. De Bernardis, R. Spigler, V. Valente. - Singapore : World Scientific, 2009. - ISBN 9789814280297. - pp. 13-24 [10.1142/9789814280303_0002]
A space-time Galerkin BEM for 2D exterior wave propagation problems
C. GuardasoniUltimo
2009
Abstract
Here we consider wave propagation for 2D Dirichlet or Neumann exterior problems reformulated in terms of boundary integral equations with retarded potential. Starting from a natural energy identity, a space-time weak formulation for the boundary integral equations is proposed and discussed. Some numerical results and applications are presented to show the effectiveness of the introduced approach.
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