A superconvergent stencil-adaptive SBP-SAT finite difference scheme
(2023)- Abstract
- A stencil-adaptive SBP-SAT finite difference scheme is shown to display superconvergent behavior. Applied to the linear advection equation, it has a convergence rate O(Δx^4) in contrast to a conventional scheme, which converges at a rate O(Δx^3).
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/9d8c2e83-9249-442b-8b2d-3ebd45c22c52
- author
- Linders, Viktor LU ; Carpenter, Mark H. and Nordström, Jan
- organization
- publishing date
- 2023
- type
- Working paper/Preprint
- publication status
- submitted
- subject
- keywords
- Summation-By-Parts, Adaptivity, Superconvergence
- pages
- 9 pages
- DOI
- 10.48550/arXiv.2307.14034
- language
- English
- LU publication?
- yes
- id
- 9d8c2e83-9249-442b-8b2d-3ebd45c22c52
- date added to LUP
- 2023-09-01 11:39:06
- date last changed
- 2023-10-09 13:07:51
@misc{9d8c2e83-9249-442b-8b2d-3ebd45c22c52, abstract = {{A stencil-adaptive SBP-SAT finite difference scheme is shown to display superconvergent behavior. Applied to the linear advection equation, it has a convergence rate O(Δx^4) in contrast to a conventional scheme, which converges at a rate O(Δx^3).}}, author = {{Linders, Viktor and Carpenter, Mark H. and Nordström, Jan}}, keywords = {{Summation-By-Parts; Adaptivity; Superconvergence}}, language = {{eng}}, note = {{Preprint}}, title = {{A superconvergent stencil-adaptive SBP-SAT finite difference scheme}}, url = {{http://dx.doi.org/10.48550/arXiv.2307.14034}}, doi = {{10.48550/arXiv.2307.14034}}, year = {{2023}}, }