Convergence of energy stable finite-difference schemes with interfaces

Magnus Svärd; Jan Nordström

doi:10.1016/j.jcp.2020.110020

Convergence of energy stable finite-difference schemes with interfaces

Magnus Svärd, Jan Nordström

Mathematics and Applied Mathematics

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

Abstract

We extend the convergence results in Svärd and Nordström (2019) [7] for single-domain energy-stable high-order finite difference schemes, to include domains split into several grid blocks. The analysis also demonstrates that reflective boundary conditions enjoy the same convergence properties. Finally, we briefly indicate that these results (and the previous ones in [7]) also hold in multiple dimensions.

Original language	English
Article number	110020
Journal	Journal of Computational Physics
Volume	429
DOIs	https://doi.org/10.1016/j.jcp.2020.110020
Publication status	Published - 15 Mar 2021

Keywords

Convergence rate
Finite difference
Interface
Stability
Well-posedness

ASJC Scopus subject areas

Numerical Analysis
Modeling and Simulation
Physics and Astronomy (miscellaneous)
General Physics and Astronomy
Computer Science Applications
Computational Mathematics
Applied Mathematics

Access to Document

10.1016/j.jcp.2020.110020

Cite this

@article{aa3ab30f00324807b4d71f8908412618,

title = "Convergence of energy stable finite-difference schemes with interfaces",

abstract = "We extend the convergence results in Sv{\"a}rd and Nordstr{\"o}m (2019) [7] for single-domain energy-stable high-order finite difference schemes, to include domains split into several grid blocks. The analysis also demonstrates that reflective boundary conditions enjoy the same convergence properties. Finally, we briefly indicate that these results (and the previous ones in [7]) also hold in multiple dimensions.",

keywords = "Convergence rate, Finite difference, Interface, Stability, Well-posedness",

author = "Magnus Sv{\"a}rd and Jan Nordstr{\"o}m",

note = "Publisher Copyright: {\textcopyright} 2020 The Author(s)",

year = "2021",

month = mar,

day = "15",

doi = "10.1016/j.jcp.2020.110020",

language = "English",

volume = "429",

journal = "Journal of Computational Physics",

issn = "0021-9991",

publisher = "Academic Press Inc.",

}

TY - JOUR

T1 - Convergence of energy stable finite-difference schemes with interfaces

AU - Svärd, Magnus

AU - Nordström, Jan

PY - 2021/3/15

Y1 - 2021/3/15

N2 - We extend the convergence results in Svärd and Nordström (2019) [7] for single-domain energy-stable high-order finite difference schemes, to include domains split into several grid blocks. The analysis also demonstrates that reflective boundary conditions enjoy the same convergence properties. Finally, we briefly indicate that these results (and the previous ones in [7]) also hold in multiple dimensions.

AB - We extend the convergence results in Svärd and Nordström (2019) [7] for single-domain energy-stable high-order finite difference schemes, to include domains split into several grid blocks. The analysis also demonstrates that reflective boundary conditions enjoy the same convergence properties. Finally, we briefly indicate that these results (and the previous ones in [7]) also hold in multiple dimensions.

KW - Convergence rate

KW - Finite difference

KW - Interface

KW - Stability

KW - Well-posedness

UR - http://www.scopus.com/inward/record.url?scp=85097216057&partnerID=8YFLogxK

U2 - 10.1016/j.jcp.2020.110020

DO - 10.1016/j.jcp.2020.110020

M3 - Article

AN - SCOPUS:85097216057

SN - 0021-9991

VL - 429

JO - Journal of Computational Physics

JF - Journal of Computational Physics

M1 - 110020

ER -

Convergence of energy stable finite-difference schemes with interfaces

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this