Integral equation based optimized Schwarz method for electromagnetics


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, …

A quasi-optimal domain decomposition algorithm for the time-harmonic Maxwell's equations

This paper presents a new non-overlapping domain decomposition method for the time harmonic Maxwell's equations, whose effective convergence is quasi-optimal. These improved properties result from a combination of an appropriate choice of …

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 …

Open-source finite element solver for domain decomposition problems

Analysis and Numerical Simulations of Time Reversal and Multiple Scattering

This thesis contributes to the mathematical analysis and numerical simulation of some problems arising in multiple scattering. This document is divided into two parts. The first part deals with some inverse problems related to the detection and …

Far field modeling of electromagnetic time-reversal and application to selective focusing on small scatterers

A time harmonic far field model for closed electromagnetic time reversal mirrors is proposed. Then, a limit model corresponding to small perfectly conducting scatterers is derived. This asymptotic model is used to prove the selective focusing …