A Boundary Integral Equation Approach for Boundary Problem of Laplace Equation
Liuqing Ye
Abstract
Liuqing Ye
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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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: Mathematics, Laplace's equation, Electric-field integral equation, Green's function for the three-variable Laplace equation, Mathematical analysis, Free boundary problem, Mixed boundary condition, Integral equation