http://scholars.ntou.edu.tw/handle/123456789/1218
DC 欄位 | 值 | 語言 |
---|---|---|
dc.contributor.author | Wenzhen Qu | en_US |
dc.contributor.author | Chia-Ming Fan | en_US |
dc.contributor.author | Xiaolin Li | en_US |
dc.date.accessioned | 2020-11-16T09:46:49Z | - |
dc.date.available | 2020-11-16T09:46:49Z | - |
dc.date.issued | 2020-07 | - |
dc.identifier.issn | 0898-1221 | - |
dc.identifier.uri | http://scholars.ntou.edu.tw/handle/123456789/1218 | - |
dc.description.abstract | The localized method of fundamental solutions (LMFS) is an efficient meshless collocation method that combines the concept of localization and the method of fundamental solutions (MFS). The resultant system of linear algebraic equations in the LMFS is sparse and banded and thus, drastically reduces the storage and computational burden of the MFS. In the LMFS, the moving least square (MLS) approximation, based on fundamental solutions, is used to construct approximate solution at each node. In this paper, this fundamental solutions-based MLS approximation, named as an augmented MLS (AMLS) approximation, is generalized to any point in the computational domain. Computational formulas, theoretical properties and error estimates of the AMLS approximation are derived. Then, taking Laplace equation as an example, this paper sets up a framework for the theoretical error analysis of the LMFS. Finally, numerical results are presented to verify the efficiency and theoretical results of the AMLS approximation and the LMFS. Convergence and comparison researches are conducted to validate the accuracy, convergence and efficiency. | en_US |
dc.language.iso | en | en_US |
dc.relation.ispartof | Computers & Mathematics with Applications | en_US |
dc.subject | Meshless method | en_US |
dc.subject | Localized method of fundamental solution | en_US |
dc.subject | Augmented moving least squares approximation | en_US |
dc.subject | Laplace equation | en_US |
dc.subject | Fundamental solution | en_US |
dc.subject | Error estimates | en_US |
dc.title | Analysis of an augmented moving least squares approximation and the associated localized method of fundamental solutions | en_US |
dc.type | journal article | en_US |
dc.identifier.doi | 10.1016/j.camwa.2020.02.015 | - |
dc.identifier.isi | WOS:000532663500002 | - |
dc.relation.journalvolume | 80 | en_US |
dc.relation.journalissue | 1 | en_US |
dc.relation.pages | 13-30 | en_US |
item.languageiso639-1 | en | - |
item.grantfulltext | none | - |
item.fulltext | no fulltext | - |
item.cerifentitytype | Publications | - |
item.openairecristype | http://purl.org/coar/resource_type/c_6501 | - |
item.openairetype | journal article | - |
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.orcid | 0000-0001-6858-1540 | - |
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 | - |
顯示於: | 河海工程學系 |
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