首页 | 本学科首页   官方微博 | 高级检索  
     


Trefftz,collocation, and other boundary methods—A comparison
Authors:Zi‐Cai Li  Tzon‐Tzer Lu  Hung‐Tsai Huang  Alexander H.‐D. Cheng
Affiliation:1. Department of Applied Mathematics and Department of Computer Science and Engineering, National Sun Yat‐sen University, Kaohsiung, Taiwan 80424. National Center for Theoretical Sciences, Taiwan;2. Department of Applied Mathematics, I‐Shou University, Kaohsiung County, Taiwan 840;3. Department of Civil Engineering, University of Mississippi, University, MS 38677PO Box 1848, University of Mississippi, University, MS 38677‐1848
Abstract:
In this article we survey the Trefftz method (TM), the collocation method (CM), and the collocation Trefftz method (CTM). We also review the coupling techniques for the interzonal conditions, which include the indirect Trefftz method, the original Trefftz method, the penalty plus hybrid Trefftz method, and the direct Trefftz method. Other boundary methods are also briefly described. Key issues in these algorithms, including the error analysis, are addressed. New numerical results are reported. Comparisons among TMs and other numerical methods are made. It is concluded that the CTM is the simplest algorithm and provides the most accurate solution with the best numerical stability. © 2006 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2007
Keywords:Trefftz method  indirect Trefftz method  direct Trefftz method  hybrid Trefftz method  boundary method  boundary elements method  boundary integral method
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号