A superconvergent stencil-adaptive SBP-SAT finite difference scheme

Viktor Linders; Mark H. Carpenter; Jan Nordström

doi:10.1016/j.jcp.2024.112794

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A superconvergent stencil-adaptive SBP-SAT finite difference scheme

Journal article

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Peer reviewed

A superconvergent stencil-adaptive SBP-SAT finite difference scheme

Viktor Linders, Mark H. Carpenter and Jan Nordström

Journal of computational physics, Vol.501, p.112794

2024

DOI: https://doi.org/10.1016/j.jcp.2024.112794

Handle:

https://hdl.handle.net/10210/512732

Abstract

Adaptivity

Summation-by-parts

Superconvergence

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).

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Details

Title: A superconvergent stencil-adaptive SBP-SAT finite difference scheme
Creators - without role: Viktor Linders - Lund University
Mark H. Carpenter - Langley Research Center
Jan Nordström - University of Johannesburg
Publication Details: Journal of computational physics, Vol.501, p.112794
Publisher: Elsevier Inc
Identifiers: 9948209607691
Publication Details: 0021-9991
Academic Unit: Department of Mathematics and Applied Mathematics; Faculty of Science; University of Johannesburg
Language: English
Resource Type: Journal article