Robust treatment of cross-points in optimized Schwarz methods

X Claeys, E Parolin - Numerische Mathematik, 2022 - Springer
In the field of domain decomposition, the optimized Schwarz method (OSM) appears to be
one of the prominent techniques to solve large scale time-harmonic wave propagation …

Non-overlapping domain decomposition methods with non-local transmission operators for harmonic wave propagation problems

É Parolin - 2020 - theses.hal.science
The pioneering work of B. Després then M. Gander, F. Magoulès and F. Nataf have shown
that it is mandatory, at least in the context of wave equations, to use impedance type …

Non-local variant of the optimised Schwarz method for arbitrary non-overlapping subdomain partitions

X Claeys - ESAIM: Mathematical Modelling and Numerical …, 2021 - esaim-m2an.org
We consider a scalar wave propagation in harmonic regime modelled by Helmholtz
equation with heterogeneous coefficients. Using the Multi-Trace Formalism (MTF), we …

Nonselfadjoint impedance in Generalized Optimized Schwarz Methods

X Claeys - IMA Journal of Numerical Analysis, 2023 - academic.oup.com
We present a convergence theory for Optimized Schwarz Methods that rely on a nonlocal
exchange operator and covers the case of coercive possibly nonselfadjoint impedance …

Nonlocal optimized schwarz methods for time-harmonic electromagnetics

X Claeys, F Collino, E Parolin - Advances in Computational Mathematics, 2022 - Springer
We introduce a new domain decomposition strategy for time harmonic Maxwell's equations
that is valid in the case of automatically generated subdomain partitions with possible …

Méthodes de décomposition de domaine sans recouvrement avec opérateurs de transmission non-locaux pour des problèmes de propagation d'ondes harmoniques

É Parolin - 2020 - theses.fr
Les premiers travaux de B. Després, puis M. Gander, F. Magoulès et F. Nataf ont montré qu'il
est nécessaire, du moins dans le contexte des équations d'ondes, d'utiliser des conditions …

A new variant of the Optimised Schwarz Method for arbitrary non-overlapping subdomain partitions

X Claeys - arXiv preprint arXiv:1910.05055, 2019 - arxiv.org
We consider a scalar wave propagation in harmonic regime modelled by Helmholtz
equation with heterogeneous coefficients. Using the Multi-Trace Formalism (MTF), we …

Analysis of time-harmonic electromagnetic problems in elliptic anisotropic media

D Chicaud - 2021 - theses.hal.science
The numerical simulation of electromagnetic problems in complex physical settings is a
trending topic which conveys many scientific and industrial applications, such as the design …