Details

Autor(en) / Beteiligte

• Li, Zi-Cai
• Lu, Tzon-Tzer
• Huang, Hung-Tsai
• Cheng, Alexander H.-D.

Titel

Trefftz, collocation, and other boundary methods-A comparison

Ist Teil von

• Numerical methods for partial differential equations, 2007-01, Vol.23 (1), p.93-144

Ort / Verlag

Hoboken: Wiley Subscription Services, Inc., A Wiley Company

Erscheinungsjahr

2007

Quelle

Wiley Online Library Journals Frontfile Complete

Beschreibungen/Notizen

• 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