메뉴 건너뛰기




Volumn 197, Issue 45-48, 2008, Pages 3702-3711

The piecewise polynomial partition of unity functions for the generalized finite element methods

Author keywords

Condition numbers of stiffness matrices; Convolution partition of unity functions; Partition of unity finite element methods (PUFEM); Shepard functions; Simple partition of unity functions

Indexed keywords

BOUNDARY CONDITIONS; BOUNDARY VALUE PROBLEMS; FUNCTION EVALUATION; INTEGRATION; NUMERICAL ANALYSIS; POLYNOMIAL APPROXIMATION; POLYNOMIALS; SUPPORT VECTOR MACHINES;

EID: 50049104173     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cma.2008.02.035     Document Type: Article
Times cited : (40)

References (19)
  • 2
    • 1542681822 scopus 로고    scopus 로고
    • Survey of meshless and generalized finite element methods: a unified approach
    • Babuska I., Banerjee U., and Osborn J.E. Survey of meshless and generalized finite element methods: a unified approach. Acta Numer. (2003) 1-125
    • (2003) Acta Numer. , pp. 1-125
    • Babuska, I.1    Banerjee, U.2    Osborn, J.E.3
  • 3
    • 28444496198 scopus 로고    scopus 로고
    • Generalized finite element methods: main ideas results and perspectives
    • Babuska I., Banerjee U., and Osborn J.E. Generalized finite element methods: main ideas results and perspectives. Int. J. Comput. Methods 1 (2004) 67-103
    • (2004) Int. J. Comput. Methods , vol.1 , pp. 67-103
    • Babuska, I.1    Banerjee, U.2    Osborn, J.E.3
  • 4
    • 1542709708 scopus 로고    scopus 로고
    • On the approximability and the selection of particle shape functions
    • Babuska I., Banerjee U., and Osborn J.E. On the approximability and the selection of particle shape functions. Numer. Math. 96 (2004) 601-640
    • (2004) Numer. Math. , vol.96 , pp. 601-640
    • Babuska, I.1    Banerjee, U.2    Osborn, J.E.3
  • 5
    • 0037032746 scopus 로고    scopus 로고
    • On principles for the selection of shape functions for generalized finite element method
    • Babuska I., Banerjee U., and Osborn J.E. On principles for the selection of shape functions for generalized finite element method. Comput. Methods Appl. Mech. Engrg. 191 (2002) 5595-5629
    • (2002) Comput. Methods Appl. Mech. Engrg. , vol.191 , pp. 5595-5629
    • Babuska, I.1    Banerjee, U.2    Osborn, J.E.3
  • 6
    • 8544220284 scopus 로고
    • Basic error estimates for elliptic problems
    • North-Holland
    • Ciarlet P.G. Basic error estimates for elliptic problems. Handbook of Numerical Analysis vol. II (1991), North-Holland
    • (1991) Handbook of Numerical Analysis , vol.II
    • Ciarlet, P.G.1
  • 8
    • 0035860266 scopus 로고    scopus 로고
    • Error analysis of reproducing kernel particle method
    • Han W., and Meng X. Error analysis of reproducing kernel particle method. Comput. Methods Appl. Mech. Engrg. 190 (2001) 6157-6181
    • (2001) Comput. Methods Appl. Mech. Engrg. , vol.190 , pp. 6157-6181
    • Han, W.1    Meng, X.2
  • 11
    • 1842523085 scopus 로고    scopus 로고
    • Reproducing kernel element method: Part I. Theoretical formulation
    • Liu W.K., Han W., Lu H., Li S., and Cao J. Reproducing kernel element method: Part I. Theoretical formulation. Comput. Methods Appl. Mech. Engrg. 193 (2004) 933-951
    • (2004) Comput. Methods Appl. Mech. Engrg. , vol.193 , pp. 933-951
    • Liu, W.K.1    Han, W.2    Lu, H.3    Li, S.4    Cao, J.5
  • 12
    • 0030380578 scopus 로고    scopus 로고
    • The partition of unity finite element method: theory and application
    • Melenk J.M., and Babuska I. The partition of unity finite element method: theory and application. Comput. Methods Appl. Mech. Engrg. 139 (1996) 239-314
    • (1996) Comput. Methods Appl. Mech. Engrg. , vol.139 , pp. 239-314
    • Melenk, J.M.1    Babuska, I.2
  • 13
    • 34250344089 scopus 로고    scopus 로고
    • The closed form reproducing polynomial particle shape functions for meshfree particle methods
    • Oh H.S., Kim J.G., and Jeong J.W. The closed form reproducing polynomial particle shape functions for meshfree particle methods. Comput. Methods Appl. Mech. Engrg. 196 (2007) 3435-3461
    • (2007) Comput. Methods Appl. Mech. Engrg. , vol.196 , pp. 3435-3461
    • Oh, H.S.1    Kim, J.G.2    Jeong, J.W.3
  • 14
    • 34250848511 scopus 로고    scopus 로고
    • The smooth piecewise polynomial particle shape functions corresponding to path-wise non uniformly spaced particles for meshfree particle methods
    • Oh H.S., Kim J.G., and Jeong J.W. The smooth piecewise polynomial particle shape functions corresponding to path-wise non uniformly spaced particles for meshfree particle methods. Comput. Mech. 40 (2007) 569-594
    • (2007) Comput. Mech. , vol.40 , pp. 569-594
    • Oh, H.S.1    Kim, J.G.2    Jeong, J.W.3
  • 15
    • 34748869549 scopus 로고    scopus 로고
    • The reproducing singularity particle shape functions for problems containing singularities
    • Oh H.-S., Jeong J.W., and Kim J.G. The reproducing singularity particle shape functions for problems containing singularities. Comput. Mech. 41 (2007)
    • (2007) Comput. Mech. , vol.41
    • Oh, H.-S.1    Jeong, J.W.2    Kim, J.G.3
  • 16
    • 50049113386 scopus 로고    scopus 로고
    • H.-S. Oh, J.W. Jeong, Reproducing polynomial particle methods and adaptive meshfree methods for 2D elliptic boundary value problems, Comput. Methods Appl. Mech. Engrg. (2008), in press.
    • H.-S. Oh, J.W. Jeong, Reproducing polynomial particle methods and adaptive meshfree methods for 2D elliptic boundary value problems, Comput. Methods Appl. Mech. Engrg. (2008), in press.
  • 18
    • 0043157619 scopus 로고    scopus 로고
    • Generalized finite element method using mesh-based handbooks application to problems in domains with many voids
    • Stroubolis T., Zhang L., and Babuska I. Generalized finite element method using mesh-based handbooks application to problems in domains with many voids. Comput. Methods Appl. Mech. Engrg. 192 (2003) 3109-3161
    • (2003) Comput. Methods Appl. Mech. Engrg. , vol.192 , pp. 3109-3161
    • Stroubolis, T.1    Zhang, L.2    Babuska, I.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.