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《JOURNAL OF DALIAN UNIVERSITY OF TECHNOLOGY》 1999-02
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Virtual boundary element method for solving mathematical equations and relationship between it and relative methods

SUN Huan-chun; XU Qians; ZHANG Li-zou ( Dept. of Eng. Mechanics, Dalian Univ. of Technol., Dalian 116024, China)( Dept. of Civil Eng., Shanghai Univ. of Railway.,Shanghai 200333, China) ( Dept. of Archit. Eng., Liaoning Inst, of Technol.,Jinzhou 121001,  
Since 1984, some numerical methods for solving mathematical equations, forexample, superposition method, out-domain singularity point method, virtualboundary-collocation method and boundary point (or whole special solution field) method, haveappeared early or late in the international and domestic journals. Although their names aredifferent but their theoretic foundation is all the same. This paper gives a proof theoretically onthis point on the one hand, and on the other hand, describes the differences among the virtualboundary element method and the rest methods mentioned above, and then gives out twoexamples to illustrate the effectiveness of VBELS (virtual boundary element-least Square)method.
【Fund】: 辽宁省自然科学基金
【CateGory Index】: O344
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