http://scholars.ntou.edu.tw/handle/123456789/1072
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Jeng-Tzong Chen | en_US |
dc.contributor.author | C.S. Wu | en_US |
dc.contributor.author | Ying-Te Lee | en_US |
dc.contributor.author | K.H. Chen | en_US |
dc.date.accessioned | 2020-11-16T07:10:03Z | - |
dc.date.available | 2020-11-16T07:10:03Z | - |
dc.date.issued | 2007-03 | - |
dc.identifier.issn | 0898-1221 | - |
dc.identifier.uri | http://scholars.ntou.edu.tw/handle/123456789/1072 | - |
dc.description.abstract | In this paper, it is proved that the two approaches, known in the literature as the method of fundamental solutions (MFS) and the Trefftz method, are mathematically equivalent in spite of their essentially minor and apparent differences in formulation. In deriving the equivalence of the Trefftz method and the MFS for the Laplace and biharmonic problems, it is interesting to find that the complete set in the Trefftz method for the Laplace and biharmonic problems are embedded in the degenerate kernels of the MFS. The degenerate scale appears using the MFS when the geometrical matrix is singular. The occurring mechanism of the degenerate scale in the MFS is also studied by using circulant. The comparison of accuracy and efficiency of the two methods was addressed. | en_US |
dc.language.iso | en_US | en_US |
dc.publisher | ScienceDirect | en_US |
dc.relation.ispartof | Computers & Mathematics with Applications | en_US |
dc.subject | Method of fundamental solutions | en_US |
dc.subject | Trefftz method | en_US |
dc.subject | Degenerate scale | en_US |
dc.subject | Circulant | en_US |
dc.subject | Condition number | en_US |
dc.title | On the equivalence of the Trefftz method and method of fundamental solutions for Laplace and biharmonic equations | en_US |
dc.type | journal article | en_US |
dc.identifier.doi | 10.1016/j.camwa.2005.02.021 | - |
dc.relation.journalvolume | 53 | en_US |
dc.relation.journalissue | 6 | en_US |
dc.relation.pages | 851-879 | en_US |
item.cerifentitytype | Publications | - |
item.languageiso639-1 | en_US | - |
item.openairetype | journal article | - |
item.grantfulltext | none | - |
item.openairecristype | http://purl.org/coar/resource_type/c_6501 | - |
item.fulltext | no fulltext | - |
crisitem.author.dept | College of Engineering | - |
crisitem.author.dept | Department of Harbor and River Engineering | - |
crisitem.author.dept | National Taiwan Ocean University,NTOU | - |
crisitem.author.dept | Center of Excellence for Ocean Engineering | - |
crisitem.author.dept | Basic Research | - |
crisitem.author.dept | College of Engineering | - |
crisitem.author.dept | Department of Harbor and River Engineering | - |
crisitem.author.dept | National Taiwan Ocean University,NTOU | - |
crisitem.author.orcid | 0000-0001-5653-5061 | - |
crisitem.author.parentorg | National Taiwan Ocean University,NTOU | - |
crisitem.author.parentorg | College of Engineering | - |
crisitem.author.parentorg | National Taiwan Ocean University,NTOU | - |
crisitem.author.parentorg | Center of Excellence for Ocean Engineering | - |
crisitem.author.parentorg | National Taiwan Ocean University,NTOU | - |
crisitem.author.parentorg | College of Engineering | - |
Appears in Collections: | 河海工程學系 |
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