Title page for etd-0708109-164402


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URN etd-0708109-164402
Author Wei-chia Hsu
Author's Email Address ameiweis@hotmail.com
Statistics This thesis had been viewed 5100 times. Download 1576 times.
Department Applied Mathematics
Year 2008
Semester 2
Degree Master
Type of Document
Language English
Title Error Analysis for Hybrid Trefftz Methods
Coupling Neumann Conditions
Date of Defense 2009-06-01
Page Count 52
Keyword
  • elliptic equation
  • Trefftz method
  • hybrid Trefftz method
  • error analysis
  • Lagrange multiplier
  • Abstract The Lagrange multiplier used for the Dirichlet condition is well known in mathematics community, and the Lagrange multiplier used for the Neumann condition is popular for the Trefftz method in engineering community, in particular for elasticity problems. The latter is called the Hybrid Trefftz method (HTM). However, it seems to export no analysis for HTM. This paper is devoted to error analysis of the HTM for −Δu + cu = 0 with c = 1 or c = 0. Error bounds are derived to provide the optimal convergence rates. Numerical experiments and comparisons between two kinds of Lagrange multipliers are also reported. The analysis in this paper can also be extended to the HTM for elasticity
    problems.
    Advisory Committee
  • Zi-Cai Li - chair
  • none - co-chair
  • none - co-chair
  • Chien-Sen Huang - co-chair
  • Tzon-Tzer Lu - advisor
  • Files
  • etd-0708109-164402.pdf
  • indicate in-campus access immediately and off_campus access in a year
    Date of Submission 2009-07-08

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