메뉴 건너뛰기




Volumn 196, Issue 37-40 SPEC. ISS., 2007, Pages 3614-3623

Explicit a posteriori error estimates for eigenvalue analysis of heterogeneous elastic structures

Author keywords

A posteriori error estimation; Linear elasticity; Symmetric generalized eigenvalue problem

Indexed keywords

A POSTERIORI ERROR ESTIMATION; ELASTIC STRUCTURES;

EID: 34447260260     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cma.2006.10.036     Document Type: Article
Times cited : (26)

References (21)
  • 1
    • 34447286994 scopus 로고    scopus 로고
    • G.M. Reese, D.M. Day, A massively parallel sparse eigensolver for structural dynamics finite element analysis, Tech. Rep. SAND1999-1158, Sandia National Laboratories, 1999.
  • 5
    • 0032686338 scopus 로고    scopus 로고
    • A review of a posteriori error estimation techniques for elasticity problems
    • Verfürth R. A review of a posteriori error estimation techniques for elasticity problems. Comput. Methods Appl. Mech. Engrg. 176 (1999) 419-440
    • (1999) Comput. Methods Appl. Mech. Engrg. , vol.176 , pp. 419-440
    • Verfürth, R.1
  • 6
    • 0037401489 scopus 로고    scopus 로고
    • Estimation of discretization errors in dynamics
    • Ladevèze P., and Pelle J.P. Estimation of discretization errors in dynamics. Comput. Struct. 81 (2003) 1133-1148
    • (2003) Comput. Struct. , vol.81 , pp. 1133-1148
    • Ladevèze, P.1    Pelle, J.P.2
  • 7
    • 0033131520 scopus 로고    scopus 로고
    • A general formulation for a posteriori bounds for output functionals of partial differential equations; application to the eigenvalue problem
    • Maday Y., Patera A., and Peraire J. A general formulation for a posteriori bounds for output functionals of partial differential equations; application to the eigenvalue problem. C.R. Acad. Sci. Paris, Série I 328 (1999) 823-828
    • (1999) C.R. Acad. Sci. Paris, Série I , vol.328 , pp. 823-828
    • Maday, Y.1    Patera, A.2    Peraire, J.3
  • 8
    • 0033148832 scopus 로고    scopus 로고
    • Adaptive h-version eigenfrequency analysis
    • Wiberg N.E., Bausys R., and Hager P. Adaptive h-version eigenfrequency analysis. Comput. Struct. 71 (1999) 565-584
    • (1999) Comput. Struct. , vol.71 , pp. 565-584
    • Wiberg, N.E.1    Bausys, R.2    Hager, P.3
  • 9
    • 0034448598 scopus 로고    scopus 로고
    • A posteriori and a priori error analysis for finite element approximations of self-adjoint elliptic eigenvalue problems
    • Larson M. A posteriori and a priori error analysis for finite element approximations of self-adjoint elliptic eigenvalue problems. SIAM J. Numer. Anal. 38 2 (2000) 608-625
    • (2000) SIAM J. Numer. Anal. , vol.38 , Issue.2 , pp. 608-625
    • Larson, M.1
  • 11
    • 84968521915 scopus 로고
    • A posteriori error estimates for nonlinear problems. finite element discretizations of elliptic equations
    • Verfürth R. A posteriori error estimates for nonlinear problems. finite element discretizations of elliptic equations. Math. Comput. 62 (1994) 445-475
    • (1994) Math. Comput. , vol.62 , pp. 445-475
    • Verfürth, R.1
  • 12
    • 0035561296 scopus 로고    scopus 로고
    • A posteriori error control for finite element approximations of elliptic eigenvalue problems
    • Heuveline V., and Rannacher R. A posteriori error control for finite element approximations of elliptic eigenvalue problems. Adv. Comp. Math. 15 (2001) 107-138
    • (2001) Adv. Comp. Math. , vol.15 , pp. 107-138
    • Heuveline, V.1    Rannacher, R.2
  • 13
    • 0242558313 scopus 로고    scopus 로고
    • A posteriori error estimates for the finite element approximation of eigenvalue problems
    • Duran R., Padra C., and Rodriguez R. A posteriori error estimates for the finite element approximation of eigenvalue problems. Math. Models Meth. Appl. Sci. 13 8 (2003) 1219-1229
    • (2003) Math. Models Meth. Appl. Sci. , vol.13 , Issue.8 , pp. 1219-1229
    • Duran, R.1    Padra, C.2    Rodriguez, R.3
  • 14
    • 34447262932 scopus 로고    scopus 로고
    • Adaptive finite element analysis for strongly heterogeneous elasticity problems
    • Araya R., and Le Tallec P. Adaptive finite element analysis for strongly heterogeneous elasticity problems. Revue Européenne des Éléments Finis 7 6 (1998) 635-655
    • (1998) Revue Européenne des Éléments Finis , vol.7 , Issue.6 , pp. 635-655
    • Araya, R.1    Le Tallec, P.2
  • 15
    • 0039608629 scopus 로고    scopus 로고
    • Adaptive finite element methods for elliptic equations with non-smooth coefficients
    • Bernardi C., and Verfürth R. Adaptive finite element methods for elliptic equations with non-smooth coefficients. Numer. Math. 85 (2000) 579-608
    • (2000) Numer. Math. , vol.85 , pp. 579-608
    • Bernardi, C.1    Verfürth, R.2
  • 16
    • 0035562801 scopus 로고    scopus 로고
    • On residual-based a posteriori error estimation in hp-FEM
    • Melenk J.M., and Wohlmuth B.I. On residual-based a posteriori error estimation in hp-FEM. Adv. Comp. Math. 15 (2001) 311-331
    • (2001) Adv. Comp. Math. , vol.15 , pp. 311-331
    • Melenk, J.M.1    Wohlmuth, B.I.2
  • 19
    • 33644524981 scopus 로고    scopus 로고
    • hp-interpolation of nonsmooth functions and an application to hp-a posteriori error estimation
    • Melenk J.M. hp-interpolation of nonsmooth functions and an application to hp-a posteriori error estimation. SIAM J. Numer. Anal. 43 (2005) 127-155
    • (2005) SIAM J. Numer. Anal. , vol.43 , pp. 127-155
    • Melenk, J.M.1
  • 20
    • 34447292446 scopus 로고    scopus 로고
    • T. Walsh, G. Reese, U. Hetmaniuk, Explicit a posteriori error estimates for eigenvalue analysis of heterogeneous elastic structures, Tech. Rep. SAND2005-4237, Sandia National Laboratories, 2005.
  • 21
    • 0035566491 scopus 로고    scopus 로고
    • A posteriori estimators for the FEM: Analysis of the robustness of the estimators for the Poisson equation
    • Zhang L., Strouboulis T., and Babuška I. A posteriori estimators for the FEM: Analysis of the robustness of the estimators for the Poisson equation. Adv. Comput. Math. 15 (2002) 375-392
    • (2002) Adv. Comput. Math. , vol.15 , pp. 375-392
    • Zhang, L.1    Strouboulis, T.2    Babuška, I.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.