Inexact Subdomain Solves Using Deflated GMRES for Helmholtz Problems
N. Bootland (University of Strathclyde)
V.N.S.R. Dwarka (TU Delft - Numerical Analysis)
P. Jolivet (ENSIACET)
V. Dolean (Université Côte d'Azur, University of Strathclyde)
Kees Vuik (TU Delft - Delft Institute of Applied Mathematics)
More Info
expand_more
Other than for strictly personal use, it is not permitted to download, forward or distribute the text or part of it, without the consent of the author(s) and/or copyright holder(s), unless the work is under an open content license such as Creative Commons.
Abstract
In recent years, domain decomposition based preconditioners have become popular tools to solve the Helmholtz equation. Notorious for causing a variety of convergence issues, the Helmholtz equation remains a challenging PDE to solve numerically. Even for simple model problems, the resulting linear system after discretisation becomes indefinite and tailored iterative solvers are required to obtain the numerical solution efficiently. At the same time, the mesh must be kept fine enough in order to prevent numerical dispersion ‘polluting’ the solution [4]. This leads to very large linear systems, further amplifying the need to develop economical solver methodologies.
help_outline