One-level domain-decomposition methods are in general not scalable, and coarse
corrections are needed to obtain scalability. It has however recently been observed in …

Due to their property of convergence in the absence of overlap, optimized Schwarz methods
are the natural domain decomposition framework for heterogeneous problems, where the …

This paper derives optimized coefficients for optimized Schwarz iterations for the time-
dependent Stokes–Darcy problem using an innovative strategy to solve a nonstandard min …

Recently a lot of attention has been devoted to the Stokes-Darcy coupling which is a system
of equations used to model the flow of fluids in porous media. In [2, 1 [a non standard …

We define a new two-level optimized Schwarz method (OSM), and we provide a
convergence analysis both for overlapping and nonoverlapping decompositions. The two …

An Introduction to Heterogeneous Domain Decomposition Methods for Multi-Physics Problems
Page 1 An Introduction to Heterogeneous Domain Decomposition Methods for Multi-Physics …

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 …

The discretization of surface intrinsic PDEs has challenges that one might not face in flat
spaces. The closest point method (CPM) is an embedding method that represents surfaces …

Waveform Relaxation (WR) methods are iterative methods to solve time-dependent
problems and large systems of ordinary differential equations arising from large scale …