完整後設資料紀錄
DC 欄位語言
dc.contributor.authorYang, Judy P.en_US
dc.contributor.authorLin, Qizhengen_US
dc.date.accessioned2020-05-05T00:02:19Z-
dc.date.available2020-05-05T00:02:19Z-
dc.date.issued2020-01-01en_US
dc.identifier.issn1758-8251en_US
dc.identifier.urihttp://dx.doi.org/10.1142/S175882512050012Xen_US
dc.identifier.urihttp://hdl.handle.net/11536/154130-
dc.description.abstractThis work introduces an efficient weighted collocation method to solve inverse Cauchy problems. As it is known that the reproducing kernel approximation takes time to compute the second-order derivatives in the meshfree strong form method, the gradient approach alleviates such a drawback by approximating the first-order derivatives in a similar way to the primary unknown. In view of the overdetermined system derived from inverse Cauchy problems with incomplete boundary conditions, the weighted gradient reproducing kernel collocation method (G-RKCM) is further introduced in the analysis. The convergence of the met hod is first demonstrated by the simply connected inverse problems, in which the same set of source points and collocation points is adopted. Then, the multiply connected inverse problems are investigated to show that high accuracy of approximation can be reached. The sensitivity and stability of the method is tested through the disturbance added on both Neumann and Dirichlet boundary conditions. From the investigation of four benchmark problems, it is concluded that the weighted gradient reproducing kernel collocation method is more efficient than the reproducing kernel collocation method.en_US
dc.language.isoen_USen_US
dc.subjectInverse Cauchy problemen_US
dc.subjectgradient reproducing kernel approximationen_US
dc.subjectreproducing kernel approximationen_US
dc.subjectstrong formen_US
dc.subjectcollocation methoden_US
dc.titleInvestigation of Multiply Connected Inverse Cauchy Problems by Efficient Weighted Collocation Methoden_US
dc.typeArticleen_US
dc.identifier.doi10.1142/S175882512050012Xen_US
dc.identifier.journalINTERNATIONAL JOURNAL OF APPLIED MECHANICSen_US
dc.citation.volume12en_US
dc.citation.issue1en_US
dc.citation.spage0en_US
dc.citation.epage0en_US
dc.contributor.department土木工程學系zh_TW
dc.contributor.departmentDepartment of Civil Engineeringen_US
dc.identifier.wosnumberWOS:000525349500012en_US
dc.citation.woscount0en_US
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