Machine learning and domain decomposition methods-a survey
Hybrid algorithms, which combine black-box machine learning methods with experience
from traditional numerical methods and domain expertise from diverse application areas, are …
from traditional numerical methods and domain expertise from diverse application areas, are …
A non-overlapping domain decomposition method with high-order transmission conditions and cross-point treatment for Helmholtz problems
A non-overlapping domain decomposition method (DDM) is proposed for the parallel finite-
element solution of large-scale time-harmonic wave problems. It is well-known that the …
element solution of large-scale time-harmonic wave problems. It is well-known that the …
Robust treatment of cross-points in optimized Schwarz methods
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 …
one of the prominent techniques to solve large scale time-harmonic wave propagation …
A unified theory of non-overlapping Robin–Schwarz methods: Continuous and discrete, including cross points
C Pechstein - Journal of Scientific Computing, 2023 - Springer
Non-overlapping Schwarz methods with generalized Robin transmission conditions were
originally introduced by B. Després for time-harmonic wave propagation problems and have …
originally introduced by B. Després for time-harmonic wave propagation problems and have …
Gmsh-Fem: an efficient finite element library based on Gmsh
A Royer, E Béchet, C Geuzaine - 14th World Congress on …, 2021 - orbi.uliege.be
GmshFem is an open source C++ finite element library based on the application
programming interface of Gmsh. Both share the same design philosophy: to be fast, light and …
programming interface of Gmsh. Both share the same design philosophy: to be fast, light and …
GetDDM: An open framework for testing optimized Schwarz methods for time-harmonic wave problems
B Thierry, A Vion, S Tournier, M El Bouajaji… - Computer Physics …, 2016 - Elsevier
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 …
domain decomposition techniques for time-harmonic wave problems. After a review of …
Analysis of transient electromagnetic scattering from a three-dimensional open cavity
This paper is concerned with the mathematical analysis of the time-domain Maxwell
equations in a three-dimensional open cavity. An exact transparent boundary condition is …
equations in a three-dimensional open cavity. An exact transparent boundary condition is …
Domain Decomposition with Neural Network Interface Approximations for time-harmonic Maxwell's equations with different wave numbers
T Knoke, S Kinnewig, S Beuchler, A Demircan… - arXiv preprint arXiv …, 2023 - arxiv.org
In this work, we consider the time-harmonic Maxwell's equations and their numerical
solution with a domain decomposition method. As an innovative feature, we propose a …
solution with a domain decomposition method. As an innovative feature, we propose a …
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 …
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 …
equation with heterogeneous coefficients. Using the Multi-Trace Formalism (MTF), we …