Open Access

ARTICLE

Error Analysis of Trefftz Methods for Laplace's Equations and Its Applications

Z. C. Li², T. T. Lu³, H. T. Huang⁴, A. H.-D. Cheng⁵

1 This paper is dedicated to Professor D. L. Young on the occasion of his 65 birthday. Partial results were presented at the Minisymposium on Meshfree and Generalized/Extended Finite Element Methods in the 9th US National Congress on Computational Mechanics (USNCCM9), San Francisco, California, USA, July 23-26, 2007.
2 Department of Applied Mathematics and Department of Computer Science and Engineering, National Sun Yatsen University, Kaohsiung, Taiwan 80424, and Department of Applied Mathematics, Chung Hua University, HsinChu, Taiwan. E-mail: zcli@math.nsysu.edu.tw
3 Department of Applied Mathematics, National Sun Yatsen University, Kaohsiung, Taiwan 80424. E-mail: ttlu@math.nsysu.edu.tw
4 Department of Applied Mathematics, I Shou University, Taiwan 840. E-mail: huanght@isu.edu.tw
5 Corresponding author, Department of Civil Engineering, University of Mississippi, USA. E-mail:acheng@olemiss.edu.