Boundary integral techniques for multi-connected domains

G. R. Baker; M. J. Shelley

doi:10.1016/0021-9991(86)90021-5

Boundary integral techniques for multi-connected domains

G. R. Baker, M. J. Shelley

Mathematics

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

Abstract

Several boundary integral techniques are available for the computation of the solution to Laplace's equation in multi-connected domains. However, for cases where the domain is changing, such as incompressible, inviscid fluid flow with free surfaces, iterative methods are highly attractive. The paper describes one such formulation and tests it on circular and elliptic annuli. It is necessary to use interpolated quadrature points to maintain accuracy when regions of the annuli are thin.

Original language	English (US)
Pages (from-to)	112-132
Number of pages	21
Journal	Journal of Computational Physics
Volume	64
Issue number	1
DOIs	https://doi.org/10.1016/0021-9991(86)90021-5
State	Published - May 1986

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

10.1016/0021-9991(86)90021-5

Cite this

@article{fa39ff199d3740da9c5be18fffb17da4,

title = "Boundary integral techniques for multi-connected domains",

abstract = "Several boundary integral techniques are available for the computation of the solution to Laplace's equation in multi-connected domains. However, for cases where the domain is changing, such as incompressible, inviscid fluid flow with free surfaces, iterative methods are highly attractive. The paper describes one such formulation and tests it on circular and elliptic annuli. It is necessary to use interpolated quadrature points to maintain accuracy when regions of the annuli are thin.",

author = "Baker, {G. R.} and Shelley, {M. J.}",

note = "Funding Information: This work has been partially supportedb y the National ScienceF oundation under Grant MCS-8302549a nd by NASA underG rant NGT 03002800W. e appreciates everalu sefuld iscussionsw ith D. I. Meiron.",

year = "1986",

month = may,

doi = "10.1016/0021-9991(86)90021-5",

language = "English (US)",

volume = "64",

pages = "112--132",

journal = "Journal of Computational Physics",

issn = "0021-9991",

publisher = "Academic Press Inc.",

number = "1",

}

TY - JOUR

T1 - Boundary integral techniques for multi-connected domains

AU - Baker, G. R.

AU - Shelley, M. J.

N1 - Funding Information: This work has been partially supportedb y the National ScienceF oundation under Grant MCS-8302549a nd by NASA underG rant NGT 03002800W. e appreciates everalu sefuld iscussionsw ith D. I. Meiron.

PY - 1986/5

Y1 - 1986/5

N2 - Several boundary integral techniques are available for the computation of the solution to Laplace's equation in multi-connected domains. However, for cases where the domain is changing, such as incompressible, inviscid fluid flow with free surfaces, iterative methods are highly attractive. The paper describes one such formulation and tests it on circular and elliptic annuli. It is necessary to use interpolated quadrature points to maintain accuracy when regions of the annuli are thin.

AB - Several boundary integral techniques are available for the computation of the solution to Laplace's equation in multi-connected domains. However, for cases where the domain is changing, such as incompressible, inviscid fluid flow with free surfaces, iterative methods are highly attractive. The paper describes one such formulation and tests it on circular and elliptic annuli. It is necessary to use interpolated quadrature points to maintain accuracy when regions of the annuli are thin.

UR - http://www.scopus.com/inward/record.url?scp=0001742485&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0001742485&partnerID=8YFLogxK

U2 - 10.1016/0021-9991(86)90021-5

DO - 10.1016/0021-9991(86)90021-5

M3 - Article

AN - SCOPUS:0001742485

SN - 0021-9991

VL - 64

SP - 112

EP - 132

JO - Journal of Computational Physics

JF - Journal of Computational Physics

IS - 1

ER -

Boundary integral techniques for multi-connected domains

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this