### 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 language | English (US) |
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Pages (from-to) | 431-438 |

Number of pages | 8 |

Journal | Journal of Thermophysics and Heat Transfer |

Volume | 15 |

Issue number | 1-4 |

State | Published - Oct 1 2001 |

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### ASJC Scopus subject areas

- Condensed Matter Physics

### Cite this

*Journal of Thermophysics and Heat Transfer*,

*15*(1-4), 431-438.

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

Research output: Contribution to journal › Article

*Journal of Thermophysics and Heat Transfer*, vol. 15, no. 1-4, pp. 431-438.

}

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 -