Second kind integral equations for the classical potential theory on open surfaces II

Shidong Jiang; Vladimir Rokhlin

doi:10.1016/j.jcp.2003.10.001

Second kind integral equations for the classical potential theory on open surfaces II

Shidong Jiang, Vladimir Rokhlin

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

29 Scopus citations

Abstract

A second kind integral equation formulation is presented for the Dirichlet problem for the Laplace equation in two dimensions, with the boundary conditions specified on a collection of open curves. The performance of the obtained apparatus is illustrated with several numerical examples. The formulation is a simplification of the equation previously constructed by the authors.

Original language	English (US)
Pages (from-to)	1-16
Number of pages	16
Journal	Journal of Computational Physics
Volume	195
Issue number	1
DOIs	https://doi.org/10.1016/j.jcp.2003.10.001
State	Published - Mar 20 2004
Externally published	Yes

All Science Journal Classification (ASJC) codes

Physics and Astronomy (miscellaneous)
Computer Science Applications

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10.1016/j.jcp.2003.10.001

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title = "Second kind integral equations for the classical potential theory on open surfaces II",

abstract = "A second kind integral equation formulation is presented for the Dirichlet problem for the Laplace equation in two dimensions, with the boundary conditions specified on a collection of open curves. The performance of the obtained apparatus is illustrated with several numerical examples. The formulation is a simplification of the equation previously constructed by the authors.",

author = "Shidong Jiang and Vladimir Rokhlin",

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doi = "10.1016/j.jcp.2003.10.001",

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AU - Jiang, Shidong

AU - Rokhlin, Vladimir

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N2 - A second kind integral equation formulation is presented for the Dirichlet problem for the Laplace equation in two dimensions, with the boundary conditions specified on a collection of open curves. The performance of the obtained apparatus is illustrated with several numerical examples. The formulation is a simplification of the equation previously constructed by the authors.

AB - A second kind integral equation formulation is presented for the Dirichlet problem for the Laplace equation in two dimensions, with the boundary conditions specified on a collection of open curves. The performance of the obtained apparatus is illustrated with several numerical examples. The formulation is a simplification of the equation previously constructed by the authors.

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Second kind integral equations for the classical potential theory on open surfaces II

Abstract

All Science Journal Classification (ASJC) codes

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