Novel Regularized Boundary Integral Equations for Potential Plane Problems

ZHANG Yao-ming; LÜ He-xiang; WANG Li-min

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ZHANG Yao-ming, LÜ He-xiang, WANG Li-min. Novel Regularized Boundary Integral Equations for Potential Plane Problems[J]. Applied Mathematics and Mechanics, 2006, 27(9): 1017-1022.

Citation:

ZHANG Yao-ming, LÜ He-xiang, WANG Li-min. Novel Regularized Boundary Integral Equations for Potential Plane Problems[J]. Applied Mathematics and Mechanics, 2006, 27(9): 1017-1022.

Citation:

ZHANG Yao-ming, LÜ He-xiang, WANG Li-min. Novel Regularized Boundary Integral Equations for Potential Plane Problems[J]. Applied Mathematics and Mechanics, 2006, 27(9): 1017-1022.

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Novel Regularized Boundary Integral Equations for Potential Plane Problems

Institute of Applied Mathematics, School of Mathematics, Shandong University of Technology, Zibo, Shandong 255049, P. R. China;

Received Date: 2004-07-31
Rev Recd Date: 2006-04-29
Publish Date: 2006-09-15

Abstract

Abstract

The universal practices have been centralizing on the research of regularization to the DBIE. The character is elimination of singularities by using the simple solutions. However, up to now the research of regularization to the first kind integral equations for plane potential problems has never been found in previous literatures. The presentation was mainly devoted to the research on the regularization of the singular boundary integral equations with indirect unknowns. A novel view and idea was presented herein, in which the regularized boundary integral equations with indirect unknowns excluding the CPV and HFP integrals were established for the plane potential problems. With some numerical results, it is shown that the better accuracy and higher efficiency, especially on the boundary, can be achieved by the present system.
- potential plane problems,
- boundary integral equations(BIEs),
- indirect BIEs,
- regularization of BIEs

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References(10)

References

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