%0 Journal Article
%T TREFFTZ DIRECT METHOD AND ITS RELATIVE PROBLEMS<br>Trefftz直接法和相关的问题
%A Jin Wugen
%A Cheung Y K
%A Mao Xiaochun
%A XUE Xin
%A <br>Jin Wugen
%A Cheung Y K
%A Mao Xiaochun
%A Xue Xin
%J 岩石力学与工程学报
%D 2003
%I 
%X 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.
%K boundary solution method
%K Trefftz direct method
%K numerical results<br>Trefftz直接法
%K 边界值
%K 数值解
%K 齐次差分方程
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=5B3AB970F71A803DEACDC0559115BFCF0A068CD97DD29835&cid=D3421FAA1A0A0F0C&jid=35E747D791A1346351AFB523B7FA35CB&aid=C6180B69B57EA135&yid=D43C4A19B2EE3C0A&vid=BC12EA701C895178&iid=CA4FD0336C81A37A&sid=EDA22B444205D04A&eid=CDEBD1ACE0A4C1C1&journal_id=1000-6915&journal_name=岩石力学与工程学报&referenced_num=0&reference_num=32