Acoustics

Mu-diff

Matlab toolbox to solve two dimensional acoustic multiple scattering by disks.

GetDDM

GetDDM is an open-source framework for testing Schwarz-type domain decomposition methods for time-harmonic wave problems.

GetDDM: an Open Framework for Testing Optimized Schwarz Methods for Time-Harmonic Wave Problems

We present an open finite element framework, called GetDDM, for testing optimized Schwarz domain decomposition techniques for time-harmonic wave problems. After a review of Schwarz domain decomposition methods and associated transmission conditions, …

GetDDM: an Open Framework for Testing Optimized Schwarz Methods for Time-Harmonic Wave Problems

This talk presents the parallel domain decomposition solver GetDDM, integrated in the open-source finite element solver GetDP. This add-on has proved to be efficient on 3D large scale problems, while staying relatively easy-to-use, by, e.g. managing automatically the iterative solver, arising from the DDM, and the communication between processes. It is moreover versatile, e.g, it can consider scalar or vector problems, one-, two- or three-dimensional problems, mixed formulations and preconditionners. Available with ready-to-use examples for Helmholtz and Maxwell’s equations, GetDDM aims to be a framework to test and develop optimized Schwarz methods for time-harmonic wave problems.

µ-diff: an open-source Matlab toolbox for computing multiple scattering problems by disks

The aim of this paper is to describe a Matlab toolbox, called µ-diff, for modeling and numerically solving two-dimensional complex multiple scattering by a large collection of circular cylinders. The approximation methods in -diff are based on the …

A remark on the single scattering preconditioner applied to boundary integral equations

This article deals with boundary integral equation preconditioning for the multiple scattering problem. The focus is put on the single scattering preconditioner, corresponding to the diagonal part of the integral operator, for which two results are …

Spectral and Condition Number Estimates of the Acoustic Single-Layer Operator for Low-Frequency Multiple Scattering in Dilute Media

The aim of this paper is to develop an analysis of the distribution of the eigenvalues of the acoustic single-layer potential for various low frequency two-dimensional multiple scattering problems. The obstacles are supposed to be distant (dilute …

Open-source finite element solver for domain decomposition problems

Spectral and Condition Number Estimates of the Acoustic Single-Layer Operator for Low-Frequency Multiple Scattering in Dense Media

The aim of this paper is to derive spectral and condition number estimates of the single-layer operator for low-frequency multiple scattering problems. This work extends to dense media the analysis initiated in Antoine and Thierry (in press) [19]. …

Improved Domain Decomposition Method for the Helmholtz Equation

In this talk we will present recent improvements to the quasi-optimal domain decomposition method for the Helmholtz equation presented in 1. The key point of the method is the construction of an accurate local approximation of the exact Dirichlet-to-Neumann operator which leads to a new transmission operator between sub-domains. We will show that this local approximation, based on complex Pad approximants, is well-suited for large scale parallel finite element simulations of high frequency scattering problems, with either manual or automatic mesh partitioning.