Time-Domain Multiple Traces Boundary Integral Formulation for Acoustic Wave Scattering in 2D
Numerical Analysis
2022-04-01 v2 Numerical Analysis
Abstract
We present a novel computational scheme to solve acoustic wave transmission problems over composite scatterers, i.e. penetrable obstacles possessing junctions or triple points. Our continuous problem is cast as a multiple traces time-domain boundary integral formulation valid in two and three dimensions. Numerically, our two-dimensional non-conforming spatial discretization uses spectral elements based on second kind Chebyshev polynomials while a convolution quadrature scheme is performed in the complex frequency domain. Computational experiments reveal multistep and multistage convolution quadrature expected convergence results for a variety of complex domains.
Cite
@article{arxiv.2011.07434,
title = {Time-Domain Multiple Traces Boundary Integral Formulation for Acoustic Wave Scattering in 2D},
author = {Carlos Jerez-Hanckes and Ignacio Labarca},
journal= {arXiv preprint arXiv:2011.07434},
year = {2022}
}