Trefftz直接法和相關(guān)的問題

This paper attempts to further extend the so-called Trefftz direct method(TDM)，which has been developed and applied to a wide variety of boundary value problems in recent years. In this approach，the complete system of solutions of the partial differential equations is used as weighting functions and a non-singular boundary integral equation is used as the starting formulation. Several relative problems are discussed here. They are the problems of necessary and sufficient conditions for Trefftz-type boundary integral equations；the relationship between the Trefftz method and the variational principle and the infrequently encountered but possible singular problems in the Trefftz method and the treatment in practice. Numerical results are presented to illustrate the computational efficiency of the approach and to demonstrate its advantages.

作 者： Jin Wugen Cheung Y K Mao Xiaochun XUE Xin   作者單位： Jin Wugen,Mao Xiaochun,XUE Xin(Department of Mechanics and Engineering Science,Fudan University,Shanghai 200433 China)

Cheung Y K(Department of Civil Engineering,The University of Hong Kong,Hong Kong,China) 

刊 名： 巖石力學(xué)與工程學(xué)報(bào)  ISTIC EI PKU 英文刊名： CHINESE JOURNAL OF ROCK MECHANICS AND ENGINEERING  年，卷(期)： 2003 22(1)  分類號(hào)： O241.83  關(guān)鍵詞： boundary solution method   Trefftz direct method   numerical results  

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