On the evaluation of Poisson equation with dual interpolation boundary face method

doi:10.1016/j.euromechsol.2021.104248

	On the evaluation of Poisson equation with dual interpolation boundary face method
	Khan, Suliman 6; He, Rui 7; Khan, Feroz 1; Khan, M. Riaz 2,3; Arshad, Muhammad 4; Shah, Hasrat Hussain 5
刊名	EUROPEAN JOURNAL OF MECHANICS A-SOLIDS
	2021-07-01
卷号	88 页码:9
关键词	Dual reciprocity method Dual interpolation boundary face method Augmented thin plate spline Moving least squares interpolation Poisson equation Complex geometry
ISSN号	0997-7538
DOI	10.1016/j.euromechsol.2021.104248
英文摘要	This 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.
资助项目	NSF of China[11771454]
WOS研究方向	Mechanics
语种	英语
出版者	ELSEVIER
WOS记录号	WOS:000691543100001
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/59156]
专题	中国科学院数学与系统科学研究院
通讯作者	Khan, Suliman
作者单位	1.Univ Gujrat, Dept Math, Hafiz Hayat Campus,Jalapur Rd, Gujrat 50700, Pakistan 2.Univ Chinese Acad Sci, Chinese Acad Sci, Acad Math & Syst Sci, LSEC, Beijing 100190, Peoples R China 3.Univ Chinese Acad Sci, Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, Beijing 100190, Peoples R China 4.Abbottabad Univ Sci & Technol, Dept Math, Abbottabad, Pakistan 5.Balochistan Univ Informat Technol Engn & Manageme, Dept Math Sci, Quetta, Pakistan 6.Cent South Univ, Sch Math & Stat, Changsha 410083, Hunan, Peoples R China 7.Hunan Univ, Coll Mech & Vehicle Engn, State Key Lab Adv Design & Mfg Vehicle Body, Changsha 410082, Peoples R China
推荐引用方式 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.