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A superconvergent stencil-adaptive SBP-SAT finite difference scheme

Linders, Viktor LU ; Carpenter, Mark H. and Nordström, Jan (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:
author
; and
organization
publishing date
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}},
}