Fast Parallel Solver for the Space-time IgA-DG Discretization of the Diffusion Equation
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Published:2021-09-01
Issue:1
Volume:89
Page:
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ISSN:0885-7474
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Container-title:Journal of Scientific Computing
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language:en
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Short-container-title:J Sci Comput
Author:
Benedusi Pietro,Ferrari Paola,Garoni Carlo,Krause Rolf,Serra-Capizzano Stefano
Abstract
AbstractWe consider the space-time discretization of the diffusion equation, using an isogeometric analysis (IgA) approximation in space and a discontinuous Galerkin (DG) approximation in time. Drawing inspiration from a former spectral analysis, we propose for the resulting space-time linear system a multigrid preconditioned GMRES method, which combines a preconditioned GMRES with a standard multigrid acting only in space. The performance of the proposed solver is illustrated through numerical experiments, which show its competitiveness in terms of iteration count, run-time and parallel scaling.
Funder
Ministero dell’Istruzione, dell’Università e della Ricerca Istituto Nazionale di Alta Matematica ”Francesco Severi” Deutsche Forschungsgemeinschaft
Publisher
Springer Science and Business Media LLC
Subject
Computational Theory and Mathematics,General Engineering,Theoretical Computer Science,Software,Applied Mathematics,Computational Mathematics,Numerical Analysis
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