We consider three dimensional interior wave propagation problems with vanishing initial and mixed boundary conditions, reformulated as a system of two boundary integral equations with retarded potentials. These latter are then set in a weak form, based on a natural energy identity satisfied by the solution of the differential problem, and discretized by the energetic Galerkin boundary element method. Numerical results are presented and discussed in order to show stability and accuracy of the proposed technique.
A stable 3D energetic Galerkin BEM approach for wave propagation interior problems
FRANGI, ATTILIO ALBERTO;
2012-01-01
Abstract
We consider three dimensional interior wave propagation problems with vanishing initial and mixed boundary conditions, reformulated as a system of two boundary integral equations with retarded potentials. These latter are then set in a weak form, based on a natural energy identity satisfied by the solution of the differential problem, and discretized by the energetic Galerkin boundary element method. Numerical results are presented and discussed in order to show stability and accuracy of the proposed technique.File in questo prodotto:
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