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Volumn 4, Issue 3-4, 1997, Pages 645-666

Equilibrium method for postprocessing and error estimation in the finite element method

Author keywords

[No Author keywords available]

Indexed keywords

BEAMS AND GIRDERS; BOUNDARY VALUE PROBLEMS; ERROR ANALYSIS; PLATES (STRUCTURAL COMPONENTS); SHELLS (STRUCTURES); STRESS ANALYSIS;

EID: 0031373496     PISSN: 1232308X     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (17)

References (25)
  • 1
    • 0026973251 scopus 로고
    • A procedure for a posteriori error estimation for h - p finite element methods
    • M. Ainsworth, J.T. Oden. A procedure for a posteriori error estimation for h - p finite element methods. Comp.Meth. in Appl.Mech. and Eng., 101: 73-96, 1992.
    • (1992) Comp.Meth. in Appl.Mech. and Eng. , vol.101 , pp. 73-96
    • Ainsworth, M.1    Oden, J.T.2
  • 4
    • 0000613724 scopus 로고
    • Error estimates for adaptive finite element computations
    • I. Babuška, W.C. Rheinholdt. Error estimates for adaptive finite element computations. SIAM Journal on Num. Analysis, 15: 736-754, 1978.
    • (1978) SIAM Journal on Num. Analysis , vol.15 , pp. 736-754
    • Babuška, I.1    Rheinholdt, W.C.2
  • 6
    • 0014887693 scopus 로고
    • Zur Plattenberechnung mittels finite Elemente
    • H. Bufler, E. Stein. Zur Plattenberechnung mittels finite Elemente. Ing. Archiv, 39: 248-260, 1970.
    • (1970) Ing. Archiv , vol.39 , pp. 248-260
    • Bufler, H.1    Stein, E.2
  • 7
    • 0003815501 scopus 로고
    • Springer Series in Computational Mathematics, Springer-Verlag, Berlin
    • W. Hackbusch. Multi-grid method and applications. Springer Series in Computational Mathematics, Springer-Verlag, Berlin, 4, 1985.
    • (1985) Multi-grid Method and Applications , pp. 4
    • Hackbusch, W.1
  • 9
    • 0041784056 scopus 로고
    • Department of Mathematics, University of Maryland Baltimore Country, Baltimore, MD 21228-5398 USA, January 7,1991, revised November 8
    • S. Jensen. Adaptive dimensional reduction for scalar boundary value problems. Department of Mathematics, University of Maryland Baltimore Country, Baltimore, MD 21228-5398 USA, January 7,1991, revised November 8, 1991.
    • (1991) Adaptive Dimensional Reduction for Scalar Boundary Value Problems
    • Jensen, S.1
  • 10
    • 0027004931 scopus 로고
    • Adaptive finite element methods in computational mechanics
    • C. Johnson, P. Hansbo. Adaptive finite element methods in computational mechanics. Comp. Meth. in Appl. Mech. and Eng., 101: 143-181, 1992.
    • (1992) Comp. Meth. in Appl. Mech. and Eng. , vol.101 , pp. 143-181
    • Johnson, C.1    Hansbo, P.2
  • 11
    • 0001585002 scopus 로고
    • Error estimate procedure in the finite element method and applications
    • P. Ladevèze, D. Leguillon. Error estimate procedure in the finite element method and applications. SIAM Journal on Num. Analysis, 20: 485-509, 1983.
    • (1983) SIAM Journal on Num. Analysis , vol.20 , pp. 485-509
    • Ladevèze, P.1    Leguillon, D.2
  • 12
    • 0041126654 scopus 로고
    • A general methodology for recovering equilibration finite element tractions and stress fields for plate and solid elements
    • Cracow, Poland, May 30 - June 1
    • P. Ladevèze, E.A.W. Maunder. A general methodology for recovering equilibration finite element tractions and stress fields for plate and solid elements. The First Intern. Workshop on Trefftz Method recent developments and perspectives, 34-35, Cracow, Poland, May 30 - June 1, 1995.
    • (1995) The First Intern. Workshop on Trefftz Method Recent Developments and Perspectives , pp. 34-35
    • Ladevèze, P.1    Maunder, E.A.W.2
  • 13
    • 0027974409 scopus 로고
    • An a posteriori error estimator for finite element approximation of the Navier-Stokes equation
    • J.T. Oden, W.Wu, M. Ainsworth. An a posteriori error estimator for finite element approximation of the Navier-Stokes equation. Comp. Meth. in Appl. Mech. and Eng., 111: 185-202, 1994.
    • (1994) Comp. Meth. in Appl. Mech. and Eng. , vol.111 , pp. 185-202
    • Oden, J.T.1    Wu, W.2    Ainsworth, M.3
  • 14
    • 0042285100 scopus 로고    scopus 로고
    • Technical Report, Institute for Supercomputing and Applied Mathemathics, University of Maryland, IBM Scientific Centre, Heidelberg
    • C. Schwab. A posteriori error estimation for hierarchic plate models. Technical Report, Institute for Supercomputing and Applied Mathemathics, University of Maryland, IBM Scientific Centre, Heidelberg.
    • A Posteriori Error Estimation for Hierarchic Plate Models
    • Schwab, C.1
  • 15
    • 0042786183 scopus 로고
    • The practical treatment of stress concentration and singularities within finite element displacement algorithms
    • P. Grisvard, W. Wendland, J.R. Whiteman, eds., Proc. Oberwolfach 1983, Springer-Verlag Berlin
    • E. Stein. The practical treatment of stress concentration and singularities within finite element displacement algorithms. In: P. Grisvard, W. Wendland, J.R. Whiteman, eds., Lecture Notes in Mathematics, Singularities and Constructive Methods for Their Treatment, 278-299. Proc. Oberwolfach 1983, Springer-Verlag Berlin, 1983.
    • (1983) Lecture Notes in Mathematics, Singularities and Constructive Methods for Their Treatment , pp. 278-299
    • Stein, E.1
  • 16
    • 0017453431 scopus 로고
    • An equlibrium method for stress calculation using finite element displacement models
    • E. Stein, R. Ahmad. An equlibrium method for stress calculation using finite element displacement models. Comp. Meth. in Appl. Mech. and Eng., 10: 175-198, 1977.
    • (1977) Comp. Meth. in Appl. Mech. and Eng. , vol.10 , pp. 175-198
    • Stein, E.1    Ahmad, R.2
  • 17
    • 0003406789 scopus 로고
    • Concept and realisation of integrated adaptive finite element methods in solid- And structural-mechanics
    • Proc. of the First European Conf. on Num. Meth. in Eng., 7-11 September 1992. Brussels, Belgium, Elsevier Science Publ. B.V.
    • E. Stein, S. Ohnimus. Concept and realisation of integrated adaptive finite element methods in solid- and structural-mechanics. Numerical Methods '92, 163-170. Proc. of the First European Conf. on Num. Meth. in Eng., 7-11 September 1992. Brussels, Belgium, Elsevier Science Publ. B.V., 1992.
    • (1992) Numerical Methods '92 , pp. 163-170
    • Stein, E.1    Ohnimus, S.2
  • 18
    • 0043287324 scopus 로고
    • Expansion method for the integrated solution- And model-adaptivity within the FE-analysis of plates and shells
    • Ed. N.-E. Wiberg, CINME - Handbooks, Barcelona, Spain
    • E. Stein, S. Ohnimus. Expansion method for the integrated solution- and model-adaptivity within the FE-analysis of plates and shells. In: Advances in finite element technology, Ed. N.-E. Wiberg, CINME - Handbooks, Barcelona, Spain, 1995.
    • (1995) Advances in Finite Element Technology
    • Stein, E.1    Ohnimus, S.2
  • 19
    • 0029696552 scopus 로고    scopus 로고
    • Dimensional adaptivity in linear elasticity with hierarchical test-spaces for h- And p-refinement processes
    • E. Stein, S. Ohnimus. Dimensional adaptivity in linear elasticity with hierarchical test-spaces for h- and p-refinement processes. Engineering with Computers, 12: 107-119, 1996.
    • (1996) Engineering with Computers , vol.12 , pp. 107-119
    • Stein, E.1    Ohnimus, S.2
  • 20
    • 0026970609 scopus 로고
    • h- And d-adaptive FE element methods for two-dimensional structural problems including postbuckling of shells
    • 2nd Reliability Colloqium, Cracow,1991
    • E. Stein, W. Rust, S. Ohnimus. h- and d-adaptive FE element methods for two-dimensional structural problems including postbuckling of shells. 2nd Reliability Colloqium, Cracow,1991, Comp. Meth. in Appl. Mech. and Eng., 101: 315-354, 1992.
    • (1992) Comp. Meth. in Appl. Mech. and Eng. , vol.101 , pp. 315-354
    • Stein, E.1    Rust, W.2    Ohnimus, S.3
  • 21
    • 0028483484 scopus 로고
    • Adaptive finite element analysis of geometrically non-linear plates and shells, especially buckling
    • E. Stein, B. Seifert, S. Ohnimus, C. Carstensen. Adaptive finite element analysis of geometrically non-linear plates and shells, especially buckling. Int. Journal for Num. Meth. in Eng., 37:2631-2655, 1994.
    • (1994) Int. Journal for Num. Meth. in Eng. , vol.37 , pp. 2631-2655
    • Stein, E.1    Seifert, B.2    Ohnimus, S.3    Carstensen, C.4
  • 22
    • 0043287286 scopus 로고
    • Modellierung und Berechnung von Deckenplatten mit Unterzügen
    • W. Wunderlich, G. Kiener, W. Osterman. Modellierung und Berechnung von Deckenplatten mit Unterzügen. Bauingenieur 69: 381-390, 1994.
    • (1994) Bauingenieur , vol.69 , pp. 381-390
    • Wunderlich, W.1    Kiener, G.2    Osterman, W.3
  • 23
    • 0023288565 scopus 로고
    • A simple error estimator and adaptive procedure for practical engineering analysis
    • O.C. Zienkiewicz, J.Z. Zhu. A simple error estimator and adaptive procedure for practical engineering analysis. Int. Journal for Num. Meth. in Eng., 24: 337-357, 1987.
    • (1987) Int. Journal for Num. Meth. in Eng. , vol.24 , pp. 337-357
    • Zienkiewicz, O.C.1    Zhu, J.Z.2
  • 24
    • 0026866050 scopus 로고
    • The superconvergent patch recovery and a posteriori error estimators, part 1: The recovery technique
    • O.C. Zienkiewicz, J.Z. Zhu. The superconvergent patch recovery and a posteriori error estimators, part 1: The recovery technique. Int. Journal for Num. Meth. in Eng., 33: 1333-1364, 1992.
    • (1992) Int. Journal for Num. Meth. in Eng. , vol.33 , pp. 1333-1364
    • Zienkiewicz, O.C.1    Zhu, J.Z.2
  • 25
    • 0026869285 scopus 로고
    • The superconvergent patch recovery and a posteriori error estimators, part 2: Error estimators and adaptivity
    • O.C. Zienkiewicz, J.Z. Zhu. The superconvergent patch recovery and a posteriori error estimators, part 2: Error estimators and adaptivity. Int. Journal for Num. Meth. in Eng., 33: 1365-1382, 1992.
    • (1992) Int. Journal for Num. Meth. in Eng. , vol.33 , pp. 1365-1382
    • Zienkiewicz, O.C.1    Zhu, J.Z.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.