메뉴 건너뛰기




Volumn 195, Issue 37-40, 2006, Pages 4768-4782

Linear dependence problems of partition of unity-based generalized FEMs

Author keywords

Generalized finite element method; Linear dependence; Partition of unity

Indexed keywords

LINEAR ALGEBRA; NUMERICAL METHODS; STIFFNESS MATRIX;

EID: 33744905354     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cma.2005.06.030     Document Type: Article
Times cited : (123)

References (14)
  • 2
    • 0030380578 scopus 로고    scopus 로고
    • The partition of unity finite element method: basic theory and applications
    • Melenk J.M., and Babuska I. The partition of unity finite element method: basic theory and applications. Comput. Methods Appl. Mech. Engrg. 139 (1996) 289-314
    • (1996) Comput. Methods Appl. Mech. Engrg. , vol.139 , pp. 289-314
    • Melenk, J.M.1    Babuska, I.2
  • 3
    • 33744946771 scopus 로고    scopus 로고
    • C.A. Duarte, The hp cloud method. Ph.D. Thesis, Faculty of the Graduate School of the University of Texas at Austin, 1996.
  • 6
    • 0033904722 scopus 로고    scopus 로고
    • The generalized finite element method: an example of its implementation and illustration of its performance
    • Strouboulis T., Copps K., and Babuska I. The generalized finite element method: an example of its implementation and illustration of its performance. Int. J. Numer. Methods Engrg. 47 (2000) 1401-1417
    • (2000) Int. J. Numer. Methods Engrg. , vol.47 , pp. 1401-1417
    • Strouboulis, T.1    Copps, K.2    Babuska, I.3
  • 8
    • 17544389134 scopus 로고    scopus 로고
    • Generalized finite element methods for three-dimensional structural mechanics problems
    • Duarte C.A., Babuska I., and Oden J.T. Generalized finite element methods for three-dimensional structural mechanics problems. Comput. Struct. 77 (2000) 215-232
    • (2000) Comput. Struct. , vol.77 , pp. 215-232
    • Duarte, C.A.1    Babuska, I.2    Oden, J.T.3
  • 9
    • 0035808194 scopus 로고    scopus 로고
    • A generalized finite element method for the simulation of three-dimensional dynamic crack propagation
    • Duarte C.A., Hamzeh O.N., Liszka T.J., and Tworzydlo W.W. A generalized finite element method for the simulation of three-dimensional dynamic crack propagation. Comput. Methods Appl. Mech. Engrg. 190 (2001) 2227-2262
    • (2001) Comput. Methods Appl. Mech. Engrg. , vol.190 , pp. 2227-2262
    • Duarte, C.A.1    Hamzeh, O.N.2    Liszka, T.J.3    Tworzydlo, W.W.4
  • 11
    • 33744945500 scopus 로고    scopus 로고
    • A parallel multilevel partition of unity method for elliptic partial differential equations
    • Springer, Berlin
    • Schweitzer M.A. A parallel multilevel partition of unity method for elliptic partial differential equations. Lecture Notes in Computational Science and Engineering vol. 29 (2003), Springer, Berlin
    • (2003) Lecture Notes in Computational Science and Engineering , vol.29
    • Schweitzer, M.A.1
  • 12
    • 33744939685 scopus 로고    scopus 로고
    • G.H. Shi, Manifold method of material analysis, in: Transactions of the 9th Army Conference on Applied Mathematics and Computing, Report No. 92-1, US Army Research Office, 1991.
  • 13
    • 33744924710 scopus 로고    scopus 로고
    • An analytically integrated general finite element method
    • Bathe I.J. (Ed), Elsevier, Oxford, UK
    • Tian R., and Ohnishi Y. An analytically integrated general finite element method. In: Bathe I.J. (Ed). Computational Fluid and Solid Mechanics (2003), Elsevier, Oxford, UK 2152-2155
    • (2003) Computational Fluid and Solid Mechanics , pp. 2152-2155
    • Tian, R.1    Ohnishi, Y.2
  • 14
    • 33744944750 scopus 로고    scopus 로고
    • R. Tian, G. Yagawa, Development of high accuracy free mesh method-linear dependence problems in the partition of unity based generalized finite element method. In: Proceedings of the 53rd Japan Conference in Theoretical and Applied Mechanics, Japan, 2004.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.