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A new multigrid formulation for high order finite difference methods on summation-by-parts form
Linköping University, Department of Mathematics, Computational Mathematics. Linköping University, Faculty of Science & Engineering.
Linköping University, Department of Mathematics, Computational Mathematics. Linköping University, Faculty of Science & Engineering. Saab Aerospace.
Linköping University, Department of Mathematics, Computational Mathematics. Linköping University, Faculty of Science & Engineering.ORCID iD: 0000-0002-7972-6183
2017 (English)Report (Other academic)
Abstract [en]

Multigrid schemes for high order finite difference methods on summation-by-parts form are studied by comparing the effect of different interpolation operators. By using the standard linear prolongation and restriction operators, the Galerkin condition leads to inaccurate coarse grid discretizations. In this paper, an alternative class of interpolation operators that bypass this issue and preserve the summation-by-parts property on each grid level is considered. Clear improvements of the convergence rate for relevant model problems are achieved.

Place, publisher, year, edition, pages
Linköping: Linköping University Electronic Press, 2017. , p. 32
Series
LiTH-MAT-R, ISSN 0348-2960 ; 2017:08
Keywords [en]
High order finite difference methods, summation-by-parts, multigrid, restriction and prolongation operators, convergence acceleration
National Category
Computational Mathematics
Identifiers
URN: urn:nbn:se:liu:diva-138955ISRN: LiTH-MAT-R--2017/08--SELibris ID: 20877260OAI: oai:DiVA.org:liu-138955DiVA, id: diva2:1115542
Available from: 2017-06-27 Created: 2017-06-27 Last updated: 2018-01-19Bibliographically approved

Open Access in DiVA

A New Multigrid Formulation for High Order Finite Difference Methods on Summation-by-Parts Form(420 kB)99 downloads
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Weinerfelt, PerNordström, Jan

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Ruggiu, Andrea AlessandroWeinerfelt, PerNordström, Jan
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CiteExportLink to record
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Citation style
  • apa
  • harvard1
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  • Other style
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Language
  • de-DE
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  • nn-NB
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  • Other locale
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Output format
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