[BOOK][B] An introduction to domain decomposition methods: algorithms, theory, and parallel implementation
The purpose of this text is to offer an overview of the most popular domain decomposition
methods for partial differential equations (PDEs). The presentation is kept as much as …
methods for partial differential equations (PDEs). The presentation is kept as much as …
Optimized schwarz methods
MJ Gander - SIAM Journal on Numerical Analysis, 2006 - SIAM
Optimized Schwarz methods are a new class of Schwarz methods with greatly enhanced
convergence properties. They converge uniformly faster than classical Schwarz methods …
convergence properties. They converge uniformly faster than classical Schwarz methods …
A two-level domain decomposition method for the iterative solution of high frequency exterior Helmholtz problems
C Farhat, A Macedo, M Lesoinne - Numerische Mathematik, 2000 - Springer
We present a Lagrange multiplier based two-level domain decomposition method for solving
iteratively large-scale systems of equations arising from the finite element discretization of …
iteratively large-scale systems of equations arising from the finite element discretization of …
Schwarz methods by domain truncation
Schwarz methods use a decomposition of the computational domain into subdomains and
need to impose boundary conditions on the subdomain boundaries. In domain truncation …
need to impose boundary conditions on the subdomain boundaries. In domain truncation …
Two-level domain decomposition methods with Lagrange multipliers for the fast iterative solution of acoustic scattering problems
C Farhat, A Macedo, M Lesoinne, FX Roux… - Computer methods in …, 2000 - Elsevier
We present two different but related Lagrange multiplier based domain decomposition (DD)
methods for solving iteratively large-scale systems of equations arising from the finite …
methods for solving iteratively large-scale systems of equations arising from the finite …
The method of polarized traces for the 2D Helmholtz equation
L Zepeda-Núnez, L Demanet - Journal of Computational Physics, 2016 - Elsevier
We present a solver for the 2D high-frequency Helmholtz equation in heterogeneous
acoustic media, with online parallel complexity that scales optimally as O (NL), where N is …
acoustic media, with online parallel complexity that scales optimally as O (NL), where N is …