Peridynamic elastic waves in two-dimensional unbounded domains: Construction of nonlocal Dirichlet-type absorbing boundary conditions

A Shojaei, A Hermann, P Seleson, SA Silling… - Computer methods in …, 2023 - Elsevier
The focus of this paper is on application of peridynamics (PD) to propagation of elastic
waves in unbounded domains. We construct absorbing boundary conditions (ABCs) derived …

[HTML][HTML] j-Wave: An open-source differentiable wave simulator

A Stanziola, SR Arridge, BT Cox, BE Treeby - SoftwareX, 2023 - Elsevier
We present an open-source differentiable acoustic simulator, j-Wave, which can solve time-
varying and time-harmonic acoustic problems. It supports automatic differentiation, which is …

Schwarz methods by domain truncation

MJ Gander, H Zhang - Acta Numerica, 2022 - search.proquest.com
Schwarz methods use a decomposition of the computational domain into subdomains and
need to impose boundary conditions on the subdomain boundaries. In domain truncation …

A frequency-independent absorption function surrogate for perfectly matched layer in exterior acoustics

X Xie, H Wu, S Marburg - Computers & Structures, 2024 - Elsevier
In many engineering applications, the solution of acoustic wave problems in the infinite
domain is required over a broad frequency range with densely sampled increments. In order …

A coordinate transformation based barycentric interpolation collocation method and its application in bending, free vibration and buckling analysis of irregular …

ZM Huang, LX Peng - International Journal for Numerical …, 2023 - Wiley Online Library
In this article, a meshless barycentric interpolation collocation method (BICM) with
coordinate transformation is proposed to solve the governing partial differential equations …

Multidirectional sweeping preconditioners with non-overlapping checkerboard domain decomposition for Helmholtz problems

R Dai, A Modave, JF Remacle, C Geuzaine - Journal of Computational …, 2022 - Elsevier
This paper explores a family of generalized sweeping preconditioners for Helmholtz
problems with non-overlapping checkerboard partition of the computational domain. The …

A hybridizable discontinuous Galerkin method with characteristic variables for Helmholtz problems

A Modave, T Chaumont-Frelet - Journal of Computational Physics, 2023 - Elsevier
A new hybridizable discontinuous Galerkin method, named the CHDG method, is proposed
for solving time-harmonic scalar wave propagation problems. This method relies on a …

Numerical assessment of PML transmission conditions in a domain decomposition method for the Helmholtz equation

N Bootland, S Borzooei, V Dolean… - … Conference on Domain …, 2022 - Springer
Numerical Assessment of PML Transmission Conditions in a Domain Decomposition Method
for the Helmholtz Equation Page 1 Numerical Assessment of PML Transmission Conditions in …

Convergence of overlapping domain decomposition methods with PML transmission conditions applied to nontrapping Helmholtz problems

J Galkowski, S Gong, IG Graham, D Lafontaine… - arXiv preprint arXiv …, 2024 - arxiv.org
We study overlapping Schwarz methods for the Helmholtz equation posed in any dimension
with large, real wavenumber and smooth variable wave speed. The radiation condition is …

Solution of time-harmonic maxwell's equations by a domain decomposition method based on pml transmission conditions

S Borzooei, V Dolean, PH Tournier… - … Conference on Scientific …, 2022 - Springer
Numerical discretization of the large-scale Maxwell's equations leads to an ill-conditioned
linear system that is challenging to solve. The key requirement for successive solutions of …