메뉴 건너뛰기




Volumn 61, Issue 10, 2004, Pages 1644-1673

On application of two superconvergent recovery procedures to plate problems

Author keywords

Error estimate; Plate; Recovery; Superconvergent

Indexed keywords

CONSTRAINT THEORY; INTERPOLATION; LEAST SQUARES APPROXIMATIONS; NONLINEAR EQUATIONS; PROBLEM SOLVING; RECOVERY; STRESS ANALYSIS;

EID: 7644239024     PISSN: 00295981     EISSN: None     Source Type: Journal    
DOI: 10.1002/nme.1128     Document Type: Article
Times cited : (12)

References (35)
  • 3
    • 0041127816 scopus 로고
    • An objective criterion for assessing the reliability of a-posteriori error estimators in finite element computations
    • Babuška I, Strouboulis T, Upadhyay CS, Gangaraj SK, Copps K. An objective criterion for assessing the reliability of a-posteriori error estimators in finite element computations. USACM Bulletin 1994; 7(2):4-15.
    • (1994) USACM Bulletin , vol.7 , Issue.2 , pp. 4-15
    • Babuška, I.1    Strouboulis, T.2    Upadhyay, C.S.3    Gangaraj, S.K.4    Copps, K.5
  • 4
    • 0028407162 scopus 로고
    • A model study of the quality of a posteriori error estimates for linear elliptic problems. Error estimation in the interior of patchwise uniform grids of triangles
    • Babuška I, Strouboulis T, Upadhyay CS. A model study of the quality of a posteriori error estimates for linear elliptic problems. Error estimation in the interior of patchwise uniform grids of triangles. Computer Methods in Applied Mechanics and Engineering 1994; 114:307-378.
    • (1994) Computer Methods in Applied Mechanics and Engineering , vol.114 , pp. 307-378
    • Babuška, I.1    Strouboulis, T.2    Upadhyay, C.S.3
  • 6
    • 0026866050 scopus 로고
    • The superconvergent patch recovery and a posteriori error estimates. Part I: The recovery technique
    • Zienkiewicz OC, Zhu JZ. The superconvergent patch recovery and a posteriori error estimates. Part I: The recovery technique, International Journal for Numerical Methods in Engineering 1992; 33:1331-1364.
    • (1992) International Journal for Numerical Methods in Engineering , vol.33 , pp. 1331-1364
    • Zienkiewicz, O.C.1    Zhu, J.Z.2
  • 7
    • 0026869285 scopus 로고
    • The superconvergent patch recovery and a posteriori error estimates. Part II: Error estimates and adaptivity
    • Zienkiewicz OC, Zhu JZ. The superconvergent patch recovery and a posteriori error estimates. Part II: Error estimates and adaptivity. International Journal for Numerical Methods in Engineering 1992; 33:1365-1382.
    • (1992) International Journal for Numerical Methods in Engineering , vol.33 , pp. 1365-1382
    • Zienkiewicz, O.C.1    Zhu, J.Z.2
  • 11
    • 0032302147 scopus 로고    scopus 로고
    • On using different recovery procedures for the construction of smoothed stress in finite element method
    • Lo SH, Lee CK. On using different recovery procedures for the construction of smoothed stress in finite element method, International Journal for Numerical Methods in Engineering 1998; 43:1223-1252.
    • (1998) International Journal for Numerical Methods in Engineering , vol.43 , pp. 1223-1252
    • Lo, S.H.1    Lee, C.K.2
  • 12
    • 0035933295 scopus 로고    scopus 로고
    • An adaptive finite element approach for a mixed Reissner-Mindlin plate formulation
    • Weinberg K. An adaptive finite element approach for a mixed Reissner-Mindlin plate formulation. Computer Methods in Applied Mechanics and Engineering 2001: 190:4999-5008.
    • (2001) Computer Methods in Applied Mechanics and Engineering , vol.190 , pp. 4999-5008
    • Weinberg, K.1
  • 19
    • 0030190830 scopus 로고    scopus 로고
    • Derivative superconvergence of rectangular finite elements for the Reissner-Mindlin plate
    • Zhang Z, Zhang S. Derivative superconvergence of rectangular finite elements for the Reissner-Mindlin plate. Computer Methods in Applied Mechanics and Engineering 1996; 134:1-16.
    • (1996) Computer Methods in Applied Mechanics and Engineering , vol.134 , pp. 1-16
    • Zhang, Z.1    Zhang, S.2
  • 20
    • 1842783436 scopus 로고    scopus 로고
    • Superconvergence in projected-shear plate-bending finite element methods
    • Zhang Z. Superconvergence in projected-shear plate-bending finite element methods. Numerical Methods for Partial Differential Equation 1998; 14:367-386.
    • (1998) Numerical Methods for Partial Differential Equation , vol.14 , pp. 367-386
    • Zhang, Z.1
  • 21
    • 0022010474 scopus 로고
    • A four-node plate bending element based on Mindlin/Reissner plate theory and mixed interpolation
    • Bathe KJ, Dvorkin EN. A four-node plate bending element based on Mindlin /Reissner plate theory and mixed interpolation. International Journal for Numerical Methods in Engineering 1985; 21:367-383.
    • (1985) International Journal for Numerical Methods in Engineering , vol.21 , pp. 367-383
    • Bathe, K.J.1    Dvorkin, E.N.2
  • 22
    • 0022680557 scopus 로고
    • A formulation of general shell element - The use of mixed interpolation of tensorial components
    • Bathe KJ, Dvorkin EN. A formulation of general shell element - The use of mixed interpolation of tensorial components. International Journal for Numerical Methods in Engineering 1986; 22: 697-722.
    • (1986) International Journal for Numerical Methods in Engineering , vol.22 , pp. 697-722
    • Bathe, K.J.1    Dvorkin, E.N.2
  • 23
    • 0025549945 scopus 로고
    • Displacement and stress convergence of our MITC plate bending elements
    • Bathe KJ, Bucalem ML, Brezzi F. Displacement and stress convergence of our MITC plate bending elements. Engineering Computations 1990; 7:291-302.
    • (1990) Engineering Computations , vol.7 , pp. 291-302
    • Bathe, K.J.1    Bucalem, M.L.2    Brezzi, F.3
  • 24
    • 0031672988 scopus 로고    scopus 로고
    • Automatic adaptive refinement for plate bending problems using Reissner-Mindlin plate bending elements
    • Lee CK, Hobbs RE. Automatic adaptive refinement for plate bending problems using Reissner-Mindlin plate bending elements, International Journal for Numerical Methods in Engineering 1998; 41:1-63.
    • (1998) International Journal for Numerical Methods in Engineering , vol.41 , pp. 1-63
    • Lee, C.K.1    Hobbs, R.E.2
  • 25
    • 0022902166 scopus 로고
    • A family of quadrilateral Mindlin plate elements with substitute shear strain fields
    • Hinton E, Huang HC. A family of quadrilateral Mindlin plate elements with substitute shear strain fields. Computers and Structures 1986; 23:409-431.
    • (1986) Computers and Structures , vol.23 , pp. 409-431
    • Hinton, E.1    Huang, H.C.2
  • 26
    • 0021628137 scopus 로고
    • A nine node Lagrangian Mindlin plate element with enhanced shear interpolation
    • Huang HC, Hinton E. A nine node Lagrangian Mindlin plate element with enhanced shear interpolation. Engineering Computations 1984; 1:369-379.
    • (1984) Engineering Computations , vol.1 , pp. 369-379
    • Huang, H.C.1    Hinton, E.2
  • 34
    • 85003292679 scopus 로고
    • Analysis of simply-supported orthotropic plates subject to static and dynamic loads
    • Dobyns AL. Analysis of simply-supported orthotropic plates subject to static and dynamic loads. AIAA Journal 1981; 19:642-650.
    • (1981) AIAA Journal , vol.19 , pp. 642-650
    • Dobyns, A.L.1
  • 35
    • 0034423321 scopus 로고    scopus 로고
    • Ultraconvergence of the patch recovery technique II
    • Zhang Z. Ultraconvergence of the patch recovery technique II. Mathematical Computation 2000; 69:141-158.
    • (2000) Mathematical Computation , vol.69 , pp. 141-158
    • Zhang, Z.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.