2003数学季刊:英文版Requires access

A Boundary Integral Equation Approach for Boundary Problem of Laplace Equation

SUNJian-she, YELiu-qing

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Abstract

Using the second Green formula, the boundary problem of Laplace equation satisfied by potential function of static electric field is transformed to the problem of the boundary integral equation,and then a boundary integral equation approach is established by partitioning boundary using linear boundary element.

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What this paper is about

Using the second Green formula, the boundary problem of Laplace equation satisfied by potential function of static electric field is transformed to the problem of the boundary integral equation,and then a boundary integral equation approach is established by partitioning boundary using linear boundary element.

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Available abstract

Using the second Green formula, the boundary problem of Laplace equation satisfied by potential function of static electric field is transformed to the problem of the boundary integral equation,and then a boundary integral equation approach is established by partitioning boundary using linear boundary element.

Key concepts: Green's function for the three-variable Laplace equation, Laplace's equation, Electric-field integral equation, Mathematics, Free boundary problem, Mathematical analysis, Mixed boundary condition, Poincaré–Steklov operator

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