A new boundary integral equation for plane harmonic functions |
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Authors: | Shen Xinzhuo Hu Haichang |
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Institution: | (1) Department of Mechanics, Peking University, Peking, China |
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Abstract: | In this paper, we propose a new boundary integral equation for plane harmonic functions. As a new approach, the equation is
derived from the conservation integrals. Every variable in the integral equation has direct engineering interest. When this
integral equation is applied to the Dirichlet problem, one will get an integral equation of the second kind, so that the algebraic
equation system in the boundary element method has diagonal dominance. Finally, this equation is applied to elastic torsion
problems of cylinders of different sections, and satisfactary numerical results are obtained. |
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Keywords: | harmonic function boundary integral equation conservation integral |
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