Riv. Mat. Univ. Parma, Vol. 2, No. 1, 2011

ALESSANDRA AIMI, MAURO DILIGENTI and CHIARA GUARDASONI

Numerical integration schemes for applications of energetic Galerkin BEM to wave propagation problems

Pages: 147-187
Received: 19 July 2010   
Accepted: 19 October 2010
Mathematics Subject Classification (2000): 65D30, 65N38.

Keywords: Energetic Galerkin BEM, (hyper)singular integral, quadrature rule.

Abstract: Here we consider wave propagation problems with vanishing initial and mixed boundary condition reformulated as space-time boundary integral equations. The energetic Galerkin boundary element method used in the discretization phase, after a double analytic integration in time variables, has to deal with weakly singular, singular and hypersingular double integrals in space variables. Efficient numerical quadrature schemes for evaluation of these integrals are here proposed. Several numerical results are presented and discussed.


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