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A superconvergent stencil-adaptive SBP-SAT finite difference scheme
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- Linders, Viktor (author)
- Lund University,Lunds universitet,Matematik (naturvetenskapliga fakulteten),Matematikcentrum,Institutioner vid LTH,Lunds Tekniska Högskola,Mathematics (Faculty of Sciences),Centre for Mathematical Sciences,Departments at LTH,Faculty of Engineering, LTH,Lund University, Sweden
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- Carpenter, Mark H. (author)
- NASA Langley Research Center, USA
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- Nordström, Jan, 1953- (author)
- Linköpings universitet,Linköping University,Tekniska fakulteten,Tillämpad matematik,University of Johannesburg, South Africa
- (creator_code:org_t)
- 2024
- 2024
- English.
- In: Journal of Computational Physics. - 0021-9991 .- 1090-2716. ; 501
- Journal article (peer-reviewed)
Abstract
Subject headings
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- A stencil-adaptive SBP-SAT finite difference scheme is shown to display superconvergent behavior. As proof of concept, applied to the linear advection equation, it has a convergence rate O(Δx4) in contrast to a conventional scheme, which converges at a rate O(Δx3).
Subject headings
- NATURVETENSKAP -- Matematik -- Beräkningsmatematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Computational Mathematics (hsv//eng)
Keyword
- Adaptivity
- Summation-by-parts
- Superconvergence
- Summation-by-parts; Adaptivity: Superconvergence
Publication and Content Type
- art (subject category)
- ref (subject category)
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