Linear and nonlinear substructured Restricted Additive Schwarz iterations and preconditioning

F Chaouqui, MJ Gander, PM Kumbhar, T Vanzan - Numerical Algorithms, 2022 - Springer
Abstract Iterative substructuring Domain Decomposition (DD) methods have been
extensively studied, and they are usually associated with nonoverlapping decompositions. It …

[PDF][PDF] Asynchronous domain decomposition methods for nonlinear PDEs

F Chaouqui, E Chow, DB Szyld - Electronic Transactions on …, 2023 - etna.ricam.oeaw.ac.at
One-and two-level parallel asynchronous methods for the numerical solution of nonlinear
systems of equations, especially those arising from (nonlinear) partial differential equations …

Deflated domain decomposition method for structural problems

H Akiba - Journal of Engineering Mathematics, 2024 - Springer
The paper presents a fast and stable solver algorithm for structural problems. The point is
the distance between the eigenvector of the constrained stiffness matrix and the …

[PDF][PDF] Domain decomposition methods for multiphysics problems

T Vanzan - 2020 - access.archive-ouverte.unige.ch
The aim of this thesis is to contribute to the development of domain decomposition methods
which are techniques to solve efficiently large linear or nonlinear systems arising from the …

Overlapping Domain Decomposition Method with Cascadic Multigrid for Image Restoration

Z Chu, C Li - Mathematics, 2023 - mdpi.com
In the process of image restoration, it is usually necessary to solve large-scale inverse
problems, where the computational cost is very high for large or high-resolution images. The …

A performance comparison of classical volume and new substructured one-and two-level Schwarz methods in PETSc

G Ciaramella, MJ Gander, S Van Criekingen… - … Conference on Domain …, 2022 - Springer
A Performance Comparison of Classical Volume and New Substructured One- and Two-Level
Schwarz Methods in PETSc Page 1 A Performance Comparison of Classical Volume and New …

Substructuring of Arbitrary Domain Decomposition Methods

MJ Gander, F Nataf - International Conference on Domain Decomposition …, 2022 - Springer
Substructuring of Arbitrary Domain Decomposition Methods Page 1 Substructuring of Arbitrary
Domain Decomposition Methods Martin J. Gander and Frédéric Nataf 1 History of …

[PDF][PDF] A PETSc Parallel Implementation of Substructured One-and Two-level Schwarz Methods

G Ciaramella, MJ Gander, S Van Criekingen, T Vanzan - mate.polimi.it
Substructured Schwarz methods are interpretations of volume Schwarz methods as
algorithms on interface variables. We here consider the substructured version of the Parallel …