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Moving particle finite element method
Author(s) -
Hao Su,
Park Harold S.,
Liu Wing Kam
Publication year - 2001
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.368
Subject(s) - finite element method , smoothed finite element method , meshfree methods , benchmark (surveying) , extended finite element method , diffuse element method , salient , computer science , mixed finite element method , boundary knot method , particle method , mathematics , element (criminal law) , mathematical optimization , boundary value problem , finite element limit analysis , mathematical analysis , boundary element method , structural engineering , engineering , artificial intelligence , geology , geodesy , law , political science
Abstract This paper presents the fundamental concepts behind the moving particle finite element method, which combines salient features of finite element and meshfree methods. The proposed method alleviates certain problems that plague meshfree techniques, such as essential boundary condition enforcement and the use of a separate background mesh to integrate the weak form. The method is illustrated via two‐dimensional linear elastic problems. Numerical examples are provided to show the capability of the method in benchmark problems. Copyright © 2001 John Wiley & Sons, Ltd.