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On the simple-solution method and non-singular nature of the BIE/BEM – a review and some new results. (English) Zbl 0974.65110

The paper reviews part of the literature on the subject of non-singular forms of boundary integral equations. New results in the identities for fundamental solutions, leading to the possibility of further general regularization, are also discussed.

MSC:

65N38 Boundary element methods for boundary value problems involving PDEs
65-02 Research exposition (monographs, survey articles) pertaining to numerical analysis
35J25 Boundary value problems for second-order elliptic equations
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