Fast parallel solver for the space-time IgA-DG discretization of the diffusion equation
type: Item
instance of: scholarly article
title: Fast parallel solver for the space-time IgA-DG discretization of the diffusion equation
zbMATH Open document ID: 1480.65247
author: Pietro Benedusi
author: Paola Ferrari
author: Carlo Garoni
author: Rolf Krause
author: Stefano Serra Capizzano
published in: Journal of Scientific Computing
publication date: 2021-09-15T00:00:00Z
review text: The authors propose a multigrid-GMRES solver for solving large scale linear systems resulting from isogeometric analysis (IgA) approximation in space and a discontinuous Galerkin (DG) discretization in time for the diffusion equation. The advantages of the proposed solver is validated through numerical experiments in terms of iteration count, run-time and parallel scaling by comparing with other benchmark solvers. The solver does not depend on the domain or the space-time discretization, and it is therefore highly flexible. It can be applied to other space-time discretizations with tensor-product structure between space and time.
Mathematics Subject Classification ID: 65M60
Mathematics Subject Classification ID: 65F08
Mathematics Subject Classification ID: 65M55
Mathematics Subject Classification ID: 65Y05
Mathematics Subject Classification ID: 47B06
Mathematics Subject Classification ID: 80A19
Mathematics Subject Classification ID: 35Q79
zbMATH DE Number: 7395832
zbMATH Keywords: isogeometric analysis
zbMATH Keywords: discontinuous Galerkin
zbMATH Keywords: preconditioned GMRES
zbMATH Keywords: multigrid
zbMATH Keywords: parallel solver
zbMATH Keywords: spectral distribution
zbMATH Keywords: diffusion equation
reviewed by: Bülent Karasözen
describes a project that uses: Madpack
describes a project that uses: Utopia
describes a project that uses: PETSc
describes a project that uses: PetIGA
MaRDI profile type: Publication
full work available at URL: s10915-021-01567-z
OpenAlex ID: W3197757822
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Fast parallel solver for the space-time IgA-DG discretization of the diffusion equation (DOI)
DOI: 10.1007/S10915-021-01567-Z