Time-domain multiple traces boundary integral formulation for acoustic wave scattering in 2D


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Date

2023-12

Publication Type

Journal Article

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Abstract

We present a novel computational scheme to solve acoustic wave transmission problems over two-dimensional composite scatterers, i.e. penetrable obstacles possessing junctions or triple points. The continuous problem is cast as a local multiple traces time-domain boundary integral formulation. For discretization in time and space, we resort to convolution quadrature schemes coupled to a non-conforming spatial spectral discretization based on second kind Chebyshev polynomials displaying fast convergence. Computational experiments confirm convergence of multistep and multistage convolution quadrature for a variety of complex domains.

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published

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Volume

157

Pages / Article No.

216 - 228

Publisher

Elsevier

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Subject

Acoustic wave scattering; Wave transmission problems; Convolution quadrature; Time-domain boundary integral operators; Multiple traces formulation; Domain decomposition

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