Print Email Facebook Twitter Inexact Subdomain Solves Using Deflated GMRES for Helmholtz Problems Title Inexact Subdomain Solves Using Deflated GMRES for Helmholtz Problems Author Bootland, N. (University of Strathclyde) Dwarka, V.N.S.R. (TU Delft Numerical Analysis) Jolivet, P. (ENSIACET) Dolean, V. (University of Strathclyde; Université Côte d'Azur) Vuik, Cornelis (TU Delft Delft Institute of Applied Mathematics) Contributor Brenner, Susanne C. (editor) Klawonn, Axel (editor) Xu, Jinchao (editor) Chung, Eric (editor) Zou, Jun (editor) Kwok, Felix (editor) Date 2022 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. To reference this document use: http://resolver.tudelft.nl/uuid:5670e4d3-d595-4b5b-be42-5047cd643cbf DOI https://doi.org/10.1007/978-3-030-95025-5_11 Publisher Springer ISBN 9783030950248 Source Domain Decomposition Methods in Science and Engineering XXVI Event 26th International Conference on Domain Decomposition Methods, 2020, 2020-12-07 → 2020-12-12, Virtual, Online Series Lecture Notes in Computational Science and Engineering, 1439-7358, 145 Part of collection Institutional Repository Document type conference paper Rights © 2022 N. Bootland, V.N.S.R. Dwarka, P. Jolivet, V. Dolean, Cornelis Vuik Files PDF 978_3_030_95025_5_11.pdf 1.26 MB Close viewer /islandora/object/uuid:5670e4d3-d595-4b5b-be42-5047cd643cbf/datastream/OBJ/view