Time domain boundary integral equations and convolution quadrature for scattering by composite media-Reference-Cited by-同舟云学术

Time domain boundary integral equations and convolution quadrature for scattering by composite media

Published:2022-06-07 Issue:337 Volume:91 Page:2165-2195
ISSN:0025-5718
Container-title:Mathematics of Computation
language:en
Short-container-title:Math. Comp.

Author:

Rieder Alexander,Sayas Francisco–Javier,Melenk Jens

Abstract

We consider acoustic scattering in heterogeneous media with piecewise constant wave number. The discretization is carried out using a Galerkin boundary element method in space and Runge-Kutta convolution quadrature in time. We prove well-posedness of the scheme and providea prioriestimates for the convergence in space and time.

Funder

Austrian Science Fund

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Computational Mathematics,Algebra and Number Theory

Link

https://www.ams.org/mcom/2022-91-337/S0025-5718-2022-03730-3/mcom3730_AM.pdf

Reference39 articles.

1. Coupling discontinuous Galerkin methods and retarded potentials for transient wave propagation on unbounded domains;Abboud, Toufic;J. Comput. Phys.,2011

2. Optimal orders of convergence for Runge-Kutta methods and linear, initial boundary value problems;Alonso-Mallo, I.;Appl. Numer. Math.,2003

3. Formulation variationnelle espace-temps pour le calcul par potentiel retardé de la diffraction d’une onde acoustique. I;Bamberger, A.;Math. Methods Appl. Sci.,1986

4. Formulation variationnelle pour le calcul de la diffraction d’une onde acoustique par une surface rigide;Bamberger, A.;Math. Methods Appl. Sci.,1986

5. Runge-Kutta convolution coercivity and its use for time-dependent boundary integral equations;Banjai, Lehel;IMA J. Numer. Anal.,2019