http://scholars.ntou.edu.tw/handle/123456789/22017
DC 欄位 | 值 | 語言 |
---|---|---|
dc.contributor.author | Zhang, Junli | en_US |
dc.contributor.author | Yang, Chenchen | en_US |
dc.contributor.author | Zheng, Hui | en_US |
dc.contributor.author | Fan, Chia-Ming | en_US |
dc.contributor.author | Fu, Ming-Fu | en_US |
dc.date.accessioned | 2022-07-01T01:53:05Z | - |
dc.date.available | 2022-07-01T01:53:05Z | - |
dc.date.issued | 2022-10-01 | - |
dc.identifier.issn | 0378-4754 | - |
dc.identifier.uri | http://scholars.ntou.edu.tw/handle/123456789/22017 | - |
dc.description.abstract | In this paper, the newly-developed localized method of fundamental solutions (LMFS) is extended to analyze multidimensional boundary value problems governed by inhomogeneous partial differential equations (PDEs). The LMFS can acquire highly accurate numerical results for the homogeneous PDEs with an incredible improvement of the computational speed. However, the LMFS cannot be directly used for inhomogeneous PDEs. Traditional two-steps scheme has difficulties in finding the particular solutions, and will lead to a loss of the accuracy and efficiency. In this paper, the recursive composite multiple reciprocity method (RC-MRM) is adopted to re-formulate the inhomogeneous PDEs to higher-order homogeneous PDEs with additional boundary conditions, which can be solved by the LMFS efficiently and accurately. The proposed combination of the RC-MRM and the LMFS can analyze inhomogeneous governing equation directly and avoid troublesome caused by the two-steps schemes. The details of the numerical discretization of the RC-MRM and the LMFS are elaborated. Some numerical examples are provided to demonstrate the accuracy and efficiency of the proposed scheme. Furthermore, some key factors of the LMFS are systematically investigated to show the merits of the proposed meshless scheme. (c) 2022 International Association for Mathematics and Computers in Simulation (IMACS). Published by Elsevier B.V. All rights reserved. | en_US |
dc.language.iso | English | en_US |
dc.publisher | ELSEVIER | en_US |
dc.relation.ispartof | MATHEMATICS AND COMPUTERS IN SIMULATION | en_US |
dc.subject | Localized method of fundamental solutions | en_US |
dc.subject | Meshless method | en_US |
dc.subject | Recursive composite multiple reciprocity method | en_US |
dc.subject | Multi-dimensional boundary value problems | en_US |
dc.subject | Inhomogeneous partial differential equations | en_US |
dc.title | The localized method of fundamental solutions for 2D and 3D inhomogeneous problems | en_US |
dc.type | journal article | en_US |
dc.identifier.doi | 10.1016/j.matcom.2022.04.024 | - |
dc.identifier.isi | WOS:000807163500006 | - |
dc.relation.journalvolume | 200 | en_US |
dc.relation.pages | 504-524 | en_US |
dc.identifier.eissn | 1872-7166 | - |
item.openairecristype | http://purl.org/coar/resource_type/c_6501 | - |
item.fulltext | no fulltext | - |
item.languageiso639-1 | English | - |
item.openairetype | journal article | - |
item.cerifentitytype | Publications | - |
item.grantfulltext | none | - |
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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