Influence Functions for the Infinite and Semi-Infinite Strip

Kevin D Cole, David H.Y. Yen

Research output: Contribution to journalArticle

8 Citations (Scopus)

Abstract

Influence functions appropriate for the boundary-element method for the Laplace equation are given for the infinite and semi-infinite strip. The method of Green's functions is used to produce single-sum series for the influence functions, which reflect the domain shape and the boundary conditions. Boundary conditions of type 1,2, and 3 are treated. Series convergence is improved by identifying slowly converging terms and replacing them with fully summed polynomial forms. Numerical examples are given.

Original languageEnglish (US)
Pages (from-to)431-438
Number of pages8
JournalJournal of Thermophysics and Heat Transfer
Volume15
Issue number1-4
StatePublished - Oct 1 2001

Fingerprint

strip
Boundary conditions
boundary conditions
Laplace equation
boundary element method
Boundary element method
Green's function
polynomials
Green's functions
Polynomials

ASJC Scopus subject areas

  • Condensed Matter Physics

Cite this

Influence Functions for the Infinite and Semi-Infinite Strip. / Cole, Kevin D; Yen, David H.Y.

In: Journal of Thermophysics and Heat Transfer, Vol. 15, No. 1-4, 01.10.2001, p. 431-438.

Research output: Contribution to journalArticle

@article{2c14e5898f3a4fa0ae04dbd96d5e59c8,
title = "Influence Functions for the Infinite and Semi-Infinite Strip",
abstract = "Influence functions appropriate for the boundary-element method for the Laplace equation are given for the infinite and semi-infinite strip. The method of Green's functions is used to produce single-sum series for the influence functions, which reflect the domain shape and the boundary conditions. Boundary conditions of type 1,2, and 3 are treated. Series convergence is improved by identifying slowly converging terms and replacing them with fully summed polynomial forms. Numerical examples are given.",
author = "Cole, {Kevin D} and Yen, {David H.Y.}",
year = "2001",
month = "10",
day = "1",
language = "English (US)",
volume = "15",
pages = "431--438",
journal = "Journal of Thermophysics and Heat Transfer",
issn = "0887-8722",
publisher = "American Institute of Aeronautics and Astronautics Inc. (AIAA)",
number = "1-4",

}

TY - JOUR

T1 - Influence Functions for the Infinite and Semi-Infinite Strip

AU - Cole, Kevin D

AU - Yen, David H.Y.

PY - 2001/10/1

Y1 - 2001/10/1

N2 - Influence functions appropriate for the boundary-element method for the Laplace equation are given for the infinite and semi-infinite strip. The method of Green's functions is used to produce single-sum series for the influence functions, which reflect the domain shape and the boundary conditions. Boundary conditions of type 1,2, and 3 are treated. Series convergence is improved by identifying slowly converging terms and replacing them with fully summed polynomial forms. Numerical examples are given.

AB - Influence functions appropriate for the boundary-element method for the Laplace equation are given for the infinite and semi-infinite strip. The method of Green's functions is used to produce single-sum series for the influence functions, which reflect the domain shape and the boundary conditions. Boundary conditions of type 1,2, and 3 are treated. Series convergence is improved by identifying slowly converging terms and replacing them with fully summed polynomial forms. Numerical examples are given.

UR - http://www.scopus.com/inward/record.url?scp=0042281436&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0042281436&partnerID=8YFLogxK

M3 - Article

VL - 15

SP - 431

EP - 438

JO - Journal of Thermophysics and Heat Transfer

JF - Journal of Thermophysics and Heat Transfer

SN - 0887-8722

IS - 1-4

ER -