We consider two-dimensional interior wave propagation problems with vanishing initial and mixed boundary conditions, reformulated as a system of two boundary integral equations with retarded potential. 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 related energetic Galerkin boundary element method. Numerical results are presented and discussed.
On the energetic Galerkin boundary element method applied to interior wave propagation problems / Aimi, Alessandra; Diligenti, Mauro; Guardasoni, Chiara. - In: JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. - ISSN 0377-0427. - 235:(2011), pp. 1746-1754. [10.1016/j.cam.2010.02.011]
On the energetic Galerkin boundary element method applied to interior wave propagation problems
AIMI, Alessandra;DILIGENTI, Mauro;GUARDASONI, Chiara
2011-01-01
Abstract
We consider two-dimensional interior wave propagation problems with vanishing initial and mixed boundary conditions, reformulated as a system of two boundary integral equations with retarded potential. 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 related energetic Galerkin boundary element method. Numerical results are presented and discussed.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
