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On the evaluation of Poisson equation with dual interpolation boundary face method
Khan, Suliman1; He, Rui2; Khan, Feroz3; Khan, M. Riaz4,5; Arshad, Muhammad6; Shah, Hasrat Hussain7
2021-07-01
Source PublicationEUROPEAN JOURNAL OF MECHANICS A-SOLIDS
ISSN0997-7538
Volume88Pages:9
AbstractThis paper presents a new implementation of the dual reciprocity method (DRM) in connection with the dual interpolation boundary face method (DiBFM) for the Poisson equation. In DiBFM, the nodes of an element are categorized into two groups: (i) source nodes (ii) virtual nodes. First layer interpolation is used to interpolate the physical variables, while boundary integrals are evaluated on the source nodes only. Moreover, moving least squares (MLS) interpolation is used and provides additional constraints equations to establish the relationship between source and virtual nodes. Additionally, augmented thin plate spline (ATPS) is used to better interpolate the non-homogeneous term. Finally, it is claimed that the proposed method is much superior to the DRM for Poisson type equation with different geometries, especially for complex geometry. Numerical examples are evaluated and compared with the DRM to ensure the superiority of the proposed method.
KeywordDual reciprocity method Dual interpolation boundary face method Augmented thin plate spline Moving least squares interpolation Poisson equation Complex geometry
DOI10.1016/j.euromechsol.2021.104248
Indexed BySCI
Language英语
Funding ProjectNSF of China[11771454]
WOS Research AreaMechanics
WOS SubjectMechanics
WOS IDWOS:000691543100001
PublisherELSEVIER
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/59157
Collection中国科学院数学与系统科学研究院
Corresponding AuthorKhan, Suliman
Affiliation1.Cent South Univ, Sch Math & Stat, Changsha 410083, Hunan, Peoples R China
2.Hunan Univ, Coll Mech & Vehicle Engn, State Key Lab Adv Design & Mfg Vehicle Body, Changsha 410082, Peoples R China
3.Univ Gujrat, Dept Math, Hafiz Hayat Campus,Jalapur Rd, Gujrat 50700, Pakistan
4.Univ Chinese Acad Sci, Chinese Acad Sci, Acad Math & Syst Sci, LSEC, Beijing 100190, Peoples R China
5.Univ Chinese Acad Sci, Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, Beijing 100190, Peoples R China
6.Abbottabad Univ Sci & Technol, Dept Math, Abbottabad, Pakistan
7.Balochistan Univ Informat Technol Engn & Manageme, Dept Math Sci, Quetta, Pakistan
Recommended Citation
GB/T 7714
Khan, Suliman,He, Rui,Khan, Feroz,et al. On the evaluation of Poisson equation with dual interpolation boundary face method[J]. EUROPEAN JOURNAL OF MECHANICS A-SOLIDS,2021,88:9.
APA Khan, Suliman,He, Rui,Khan, Feroz,Khan, M. Riaz,Arshad, Muhammad,&Shah, Hasrat Hussain.(2021).On the evaluation of Poisson equation with dual interpolation boundary face method.EUROPEAN JOURNAL OF MECHANICS A-SOLIDS,88,9.
MLA Khan, Suliman,et al."On the evaluation of Poisson equation with dual interpolation boundary face method".EUROPEAN JOURNAL OF MECHANICS A-SOLIDS 88(2021):9.
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