메뉴 건너뛰기




Volumn 79, Issue 7, 2009, Pages 887-906

Generalized finite element method using proper orthogonal decomposition

Author keywords

Enriched finite elements; Enrichment; Generalized finite element method; Partition of unity; POD

Indexed keywords

ENRICHED FINITE ELEMENTS; ENRICHMENT; GENERALIZED FINITE ELEMENT METHOD; PARTITION OF UNITY; POD;

EID: 68549109420     PISSN: 00295981     EISSN: 10970207     Source Type: Journal    
DOI: 10.1002/nme.2604     Document Type: Article
Times cited : (33)

References (22)
  • 4
    • 0037032746 scopus 로고    scopus 로고
    • On principles for the selection of shape functions for the generalized finite element method
    • Babuska I, Banerjee U, Osborn JE. On principles for the selection of shape functions for the generalized finite element method. Computer Methods in Applied Mechanics and Engineering 2002; 191(49-50):5595-5629.
    • (2002) Computer Methods in Applied Mechanics and Engineering , vol.191 , Issue.49-50 , pp. 5595-5629
    • Babuska, I.1    Banerjee, U.2    Osborn, J.E.3
  • 6
    • 0043157619 scopus 로고    scopus 로고
    • Generalized finite element method using mesh-based handbooks: Application to problems in domains with many voids
    • Strouboulis T, Zhang L, Babuška I. Generalized finite element method using mesh-based handbooks: application to problems in domains with many voids. Computer Methods in Applied Mechanics and Engineering 2003; 192(28-30):3109-3161.
    • (2003) Computer Methods in Applied Mechanics and Engineering , vol.192 , Issue.28-30 , pp. 3109-3161
    • Strouboulis, T.1    Zhang, L.2    Babuška, I.3
  • 7
  • 8
    • 36048939772 scopus 로고    scopus 로고
    • Analysis and applications of a generalized finite element method with global-local enrichment functions
    • Duarte CA, Kim DJ. Analysis and applications of a generalized finite element method with global-local enrichment functions. Computer Methods in Applied Mechanics and Engineering 2008; 197(6-8):487-504.
    • (2008) Computer Methods in Applied Mechanics and Engineering , vol.197 , Issue.6-8 , pp. 487-504
    • Duarte, C.A.1    Kim, D.J.2
  • 9
    • 60949103522 scopus 로고    scopus 로고
    • Classical and enriched finite element formulations for Bloch-periodic boundary conditions
    • Sukumar N, Pask JE. Classical and enriched finite element formulations for Bloch-periodic boundary conditions. International Journal for Numerical Methods in Engineering 2009; 77(8):1121-1138.
    • (2009) International Journal for Numerical Methods in Engineering , vol.77 , Issue.8 , pp. 1121-1138
    • Sukumar, N.1    Pask, J.E.2
  • 11
    • 34547590561 scopus 로고    scopus 로고
    • An object-oriented framework for reduced-order models using proper orthogonal decomposition (POD)
    • Aquino W. An object-oriented framework for reduced-order models using proper orthogonal decomposition (POD). Computer Methods in Applied Mechanics and Engineering 2007; 196(41-44):4375-4390.
    • (2007) Computer Methods in Applied Mechanics and Engineering , vol.196 , Issue.41-44 , pp. 4375-4390
    • Aquino, W.1
  • 12
    • 0032072830 scopus 로고    scopus 로고
    • A tutorial in elementary finite element error analysis: A systematic presentation of a priori and a posteriori error estimates
    • Stewart JR, Hughes TJR. A tutorial in elementary finite element error analysis: a systematic presentation of a priori and a posteriori error estimates. Computer Methods in Applied Mechanics and Engineering 1998; 158:1-22.
    • (1998) Computer Methods in Applied Mechanics and Engineering , vol.158 , pp. 1-22
    • Stewart, J.R.1    Hughes, T.J.R.2
  • 14
    • 0034327551 scopus 로고    scopus 로고
    • A reduced-order approach for optimal control of fluids using proper orthogonal decomposition
    • Ravindran SS. A reduced-order approach for optimal control of fluids using proper orthogonal decomposition. International Journal for Numerical Methods in Fluids 2000; 34(5):425-448.
    • (2000) International Journal for Numerical Methods in Fluids , vol.34 , Issue.5 , pp. 425-448
    • Ravindran, S.S.1
  • 15
    • 21844478094 scopus 로고    scopus 로고
    • Low-dimensional modelling of turbulence using the proper orthogonal decomposition: A tutorial
    • Smith TR, Moehlis J, Holmes P. Low-dimensional modelling of turbulence using the proper orthogonal decomposition: a tutorial. Nonlinear Dynamics 2005; 41(1-3):275-307.
    • (2005) Nonlinear Dynamics , vol.41 , Issue.1-3 , pp. 275-307
    • Smith, T.R.1    Moehlis, J.2    Holmes, P.3
  • 16
    • 33744938206 scopus 로고    scopus 로고
    • The generalized finite element method for Helmholtz equation: Theory, computation, and open problems
    • Strouboulis T, Babuška I, Hidajat R. The generalized finite element method for Helmholtz equation: theory, computation, and open problems. Computer Methods in Applied Mechanics and Engineering 2006; 195 (37-40):4711-4731.
    • (2006) Computer Methods in Applied Mechanics and Engineering , vol.195 , Issue.37-40 , pp. 4711-4731
    • Strouboulis, T.1    Babuška, I.2    Hidajat, R.3
  • 18
    • 11944266539 scopus 로고
    • Information theory and statistical mechanics
    • Jaynes ET. Information theory and statistical mechanics. Physical Review 1957; 106(4):620-630.
    • (1957) Physical Review , vol.106 , Issue.4 , pp. 620-630
    • Jaynes, E.T.1
  • 20
    • 0001201384 scopus 로고
    • Finite-element solution of the Helmholtz-equation with high wave-number 1. The h-version of the FEM
    • Ihlenburg F, Babuška I. Finite-element solution of the Helmholtz-equation with high wave-number 1. The h-version of the FEM. Computers and Mathematics with Applications 1995; 30(9):9-37.
    • (1995) Computers and Mathematics with Applications , vol.30 , Issue.9 , pp. 9-37
    • Ihlenburg, F.1    Babuška, I.2
  • 22
    • 33747433423 scopus 로고    scopus 로고
    • Self-learning finite elements for inverse estimation of thermal constitutive models
    • Aquino W, Brigham JC. Self-learning finite elements for inverse estimation of thermal constitutive models. International Journal of Heat and Mass Transfer 2006; 49:2466-2478.
    • (2006) International Journal of Heat and Mass Transfer , vol.49 , pp. 2466-2478
    • Aquino, W.1    Brigham, J.C.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.