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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, SE-581 88 Linköping, Sweden.
Linköping University, Department of Mathematics, Computational Mathematics. Linköping University, Faculty of Science & Engineering.ORCID iD: 0000-0002-7972-6183
2018 (English)In: Journal of Computational Physics, ISSN 0021-9991, E-ISSN 1090-2716, Vol. 359, p. 216-238Article in journal (Refereed) Published
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
2018. Vol. 359, p. 216-238
Keywords [en]
High order finite difference methodsSummation-by-partsMultigridRestriction and prolongation operatorsConvergence acceleration
National Category
Mathematics
Identifiers
URN: urn:nbn:se:liu:diva-145086DOI: 10.1016/j.jcp.2018.01.011ISI: 000427396200011OAI: oai:DiVA.org:liu-145086DiVA, id: diva2:1181770
Note

Funding agencies:  VINNOVA, the Swedish Governmental Agency for Innovation Systems [2013-01209]

Available from: 2018-02-09 Created: 2018-02-09 Last updated: 2018-04-12

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The full text will be freely available from 2020-01-12 15:01
Available from 2020-01-12 15:01

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