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 −£Gu + 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.
| Identifer | oai:union.ndltd.org:NSYSU/oai:NSYSU:etd-0708109-164402 |
| Date | 08 July 2009 |
| Creators | Hsu, Wei-chia |
| Contributors | Tzon-Tzer Lu, none, none, Chien-Sen Huang, Zi-Cai Li |
| Publisher | NSYSU |
| Source Sets | NSYSU Electronic Thesis and Dissertation Archive |
| Language | English |
| Detected Language | English |
| Type | text |
| Format | application/pdf |
| Source | http://etd.lib.nsysu.edu.tw/ETD-db/ETD-search/view_etd?URN=etd-0708109-164402 |
| Rights | off_campus_withheld, Copyright information available at source archive |
Page generated in 0.0013 seconds