A superconvergent stencil-adaptive SBP-SAT finite difference scheme
(2024) In Journal of Computational Physics 501.- Abstract
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).
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/71edd30d-c14a-462f-b2fe-a81479da701c
- author
- Linders, Viktor LU ; Carpenter, Mark H. and Nordström, Jan
- organization
- publishing date
- 2024-03-15
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- Adaptivity, Summation-by-parts, Superconvergence
- in
- Journal of Computational Physics
- volume
- 501
- article number
- 112794
- publisher
- Elsevier
- external identifiers
-
- scopus:85183586388
- ISSN
- 0021-9991
- DOI
- 10.1016/j.jcp.2024.112794
- language
- English
- LU publication?
- yes
- additional info
- Funding Information: Jan Nordström was supported by Vetenskapsrådet , Sweden [award no. 2021-05484 VR ] and University of Johannesburg . Publisher Copyright: © 2024 The Author(s)
- id
- 71edd30d-c14a-462f-b2fe-a81479da701c
- date added to LUP
- 2024-02-09 07:56:52
- date last changed
- 2024-03-11 09:08:27
@article{71edd30d-c14a-462f-b2fe-a81479da701c, abstract = {{<p>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(Δx<sup>4</sup>) in contrast to a conventional scheme, which converges at a rate O(Δx<sup>3</sup>).</p>}}, author = {{Linders, Viktor and Carpenter, Mark H. and Nordström, Jan}}, issn = {{0021-9991}}, keywords = {{Adaptivity; Summation-by-parts; Superconvergence}}, language = {{eng}}, month = {{03}}, publisher = {{Elsevier}}, series = {{Journal of Computational Physics}}, title = {{A superconvergent stencil-adaptive SBP-SAT finite difference scheme}}, url = {{http://dx.doi.org/10.1016/j.jcp.2024.112794}}, doi = {{10.1016/j.jcp.2024.112794}}, volume = {{501}}, year = {{2024}}, }