[LLIBRE][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 …
A review of domain decomposition methods for simulation of fluid flows: concepts, algorithms, and applications
Abstract Domain decomposition (DD) is a powerful approach to numerically solve partial
differential equations, and it has become popular and indispensable in simulations of fluid …
differential equations, and it has become popular and indispensable in simulations of fluid …
Exact representations on artificial interfaces and applications in mechanics
D Givoli - 1999 - asmedigitalcollection.asme.org
In various areas of applied mechanics, there are instances where it is necessary or
beneficial to represent the behavior of a mechanical system on an artificial boundary, or …
beneficial to represent the behavior of a mechanical system on an artificial boundary, or …
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 class of iterative solvers for the Helmholtz equation: Factorizations, swee** preconditioners, source transfer, single layer potentials, polarized traces, and …
Solving time-harmonic wave propagation problems by iterative methods is a difficult task,
and over the last two decades an important research effort has gone into develo** …
and over the last two decades an important research effort has gone into develo** …
A rapidly converging domain decomposition method for the Helmholtz equation
CC Stolk - Journal of Computational Physics, 2013 - Elsevier
A new domain decomposition method is introduced for the heterogeneous 2-D and 3-D
Helmholtz equations. Transmission conditions based on the perfectly matched layer (PML) …
Helmholtz equations. Transmission conditions based on the perfectly matched layer (PML) …
Reducing the effect of global communication in GMRES (m) and CG on parallel distributed memory computers
In this paper we study possibilities for the reduction of communication overhead introduced
by inner products in the iterative solution methods CG and GMRES (m). The performance of …
by inner products in the iterative solution methods CG and GMRES (m). The performance of …