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

34 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

Computational Mathematics
Applied Mathematics
Numerical Analysis
General Physics and Astronomy
Computer Science Applications
Modeling and Simulation
Physics and Astronomy (miscellaneous)

Keywords

Dirichet problem
Laplace equation
Open surface problems
Second kind integral equation

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10.1016/j.jcp.2003.10.001

Cite this

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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.",

keywords = "Dirichet problem, Laplace equation, Open surface problems, Second kind integral equation",

author = "Shidong Jiang and Vladimir Rokhlin",

year = "2004",

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

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T1 - Second kind integral equations for the classical potential theory on open surfaces II

AU - Jiang, Shidong

AU - Rokhlin, Vladimir

PY - 2004/3/20

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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.

KW - Dirichet problem

KW - Laplace equation

KW - Open surface problems

KW - Second kind integral equation

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

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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