We consider 3D 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 the stability and accuracy of the proposed technique.
A stable 3D energetic Galerkin BEM approach for wave propagation interior problems / Aimi, Alessandra; Diligenti, Mauro; A., Frangi; Guardasoni, Chiara. - In: ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS. - ISSN 0955-7997. - 36:(2012), pp. 1756-1765. [10.1016/j.enganabound.2012.06.003]
A stable 3D energetic Galerkin BEM approach for wave propagation interior problems
AIMI, Alessandra;DILIGENTI, Mauro;GUARDASONI, Chiara
2012-01-01
Abstract
We consider 3D 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 the stability and accuracy of the proposed technique.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
