完整後設資料紀錄
DC 欄位語言
dc.contributor.authorWu, Chin-Tienen_US
dc.contributor.authorLi, Zhilinen_US
dc.contributor.authorLai, Ming-Chihen_US
dc.date.accessioned2014-12-08T15:37:46Z-
dc.date.available2014-12-08T15:37:46Z-
dc.date.issued2011en_US
dc.identifier.issn1705-5105en_US
dc.identifier.urihttp://hdl.handle.net/11536/25969-
dc.description.abstractIn this paper, an adaptive mesh refinement technique is developed and analyzed for the non-conforming immersed finite element (IFE) method proposed in [27]. The IFE method was developed for solving the second order elliptic boundary value problem with interfaces across which the coefficient may be discontinuous. The IFE method was based on a triangulation that does not need to fit the interface. One of the key ideas of IFE method is to modify the basis functions so that the natural jump conditions are satisfied across the interface. The IFE method has shown to be order of O(h(2)) and O(h) in L(2) norm and H(1) norm, respectively. In order to develop the adaptive mesh refinement technique, additional priori and posterior error estimations are derived in this paper. Our new a-priori error estimation shows that the generic constant is only linearly proportional to ratio of the diffusion coefficient beta(-) and beta(+), which improves the corresponding result in [27]. We also show that a-posteriori error estimate similar to the one obtained by Bernardi and Verfurth [4] holds for the IFE solutions. Numerical examples support our theoretical results and show that the adaptive mesh refinement strategy is effective for the IFE approximation.en_US
dc.language.isoen_USen_US
dc.subjectinterfaceen_US
dc.subjectimmersed finite elementen_US
dc.subjectadaptive meshen_US
dc.titleADAPTIVE MESH REFINEMENT FOR ELLIPTIC INTERFACE PROBLEMS USING THE NON-CONFORMING IMMERSED FINITE ELEMENT METHODen_US
dc.typeArticleen_US
dc.identifier.journalINTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELINGen_US
dc.citation.volume8en_US
dc.citation.issue3en_US
dc.citation.spage466en_US
dc.citation.epage483en_US
dc.contributor.department應用數學系zh_TW
dc.contributor.department數學建模與科學計算所(含中心)zh_TW
dc.contributor.departmentDepartment of Applied Mathematicsen_US
dc.contributor.departmentGraduate Program of Mathematical Modeling and Scientific Computing, Department of Applied Mathematicsen_US
dc.identifier.wosnumberWOS:000291390800007-
dc.citation.woscount7-
顯示於類別:期刊論文