Interface procedures for finite difference approximations of the advectiondiffusion equation

Jing Gong; Jan Nordström

doi:10.1016/j.cam.2011.08.009

Interface procedures for finite difference approximations of the advectiondiffusion equation

Jing Gong, Jan Nordström

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

26 Citations (Scopus)

Abstract

We investigate several existing interface procedures for finite difference methods applied to advectiondiffusion problems. The accuracy, stiffness and reflecting properties of various interface procedures are investigated. The analysis and numerical experiments show that there are only minor differences between various methods once a proper parameter choice has been made.

Original language	English
Pages (from-to)	602-620
Number of pages	19
Journal	Journal of Computational and Applied Mathematics
Volume	236
Issue number	5
DOIs	https://doi.org/10.1016/j.cam.2011.08.009
Publication status	Published - 1 Oct 2011
Externally published	Yes

Keywords

Accuracy
High order finite difference methods
Interface conditions
Numerical stability
Summation-by-parts
Weak boundary conditions

ASJC Scopus subject areas

Computational Mathematics
Applied Mathematics

Access to Document

10.1016/j.cam.2011.08.009

Cite this

@article{9974b6ed458846c2bf9d18a97c837af7,

title = "Interface procedures for finite difference approximations of the advectiondiffusion equation",

abstract = "We investigate several existing interface procedures for finite difference methods applied to advectiondiffusion problems. The accuracy, stiffness and reflecting properties of various interface procedures are investigated. The analysis and numerical experiments show that there are only minor differences between various methods once a proper parameter choice has been made.",

keywords = "Accuracy, High order finite difference methods, Interface conditions, Numerical stability, Summation-by-parts, Weak boundary conditions",

author = "Jing Gong and Jan Nordstr{\"o}m",

year = "2011",

month = oct,

day = "1",

doi = "10.1016/j.cam.2011.08.009",

language = "English",

volume = "236",

pages = "602--620",

journal = "Journal of Computational and Applied Mathematics",

issn = "0377-0427",

publisher = "Elsevier",

number = "5",

}

TY - JOUR

T1 - Interface procedures for finite difference approximations of the advectiondiffusion equation

AU - Gong, Jing

AU - Nordström, Jan

PY - 2011/10/1

Y1 - 2011/10/1

N2 - We investigate several existing interface procedures for finite difference methods applied to advectiondiffusion problems. The accuracy, stiffness and reflecting properties of various interface procedures are investigated. The analysis and numerical experiments show that there are only minor differences between various methods once a proper parameter choice has been made.

AB - We investigate several existing interface procedures for finite difference methods applied to advectiondiffusion problems. The accuracy, stiffness and reflecting properties of various interface procedures are investigated. The analysis and numerical experiments show that there are only minor differences between various methods once a proper parameter choice has been made.

KW - Accuracy

KW - High order finite difference methods

KW - Interface conditions

KW - Numerical stability

KW - Summation-by-parts

KW - Weak boundary conditions

UR - http://www.scopus.com/inward/record.url?scp=80055081871&partnerID=8YFLogxK

U2 - 10.1016/j.cam.2011.08.009

DO - 10.1016/j.cam.2011.08.009

M3 - Article

AN - SCOPUS:80055081871

SN - 0377-0427

VL - 236

SP - 602

EP - 620

JO - Journal of Computational and Applied Mathematics

JF - Journal of Computational and Applied Mathematics

IS - 5

ER -

Interface procedures for finite difference approximations of the advectiondiffusion equation

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this