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Volumn 26, Issue 3, 1997, Pages 171-192

A posteriori error estimators related to equilibrium defaults of finite element solutions for elastostatic problems

Author keywords

Elastostatics; Equilibrium defaults; Error estimators; Finite elements

Indexed keywords

ELASTICITY; ERRORS; ESTIMATION; MATHEMATICAL MODELS; NUMERICAL METHODS; PHASE EQUILIBRIA; TRACTION (FRICTION);

EID: 0043048185     PISSN: 0168874X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0168-874X(96)00079-0     Document Type: Article
Times cited : (8)

References (30)
  • 1
    • 0023330112 scopus 로고
    • Quality assessment and control of finite element solutions
    • A.K. Noor and I. Babuska, "Quality assessment and control of finite element solutions". Finite Elements in Analysis and Design 3, pp. 1-26, 1987.
    • (1987) Finite Elements in Analysis and Design , vol.3 , pp. 1-26
    • Noor, A.K.1    Babuska, I.2
  • 2
    • 0026908336 scopus 로고
    • Quality assessment of the a posteriori error estimation in finite elements
    • I. Babuska, L. Plank and R. Rodriguez. "Quality assessment of the a posteriori error estimation in finite elements", Finite Elements in Analysis and Design 11, pp, 285-306, 1992.
    • (1992) Finite Elements in Analysis and Design , vol.11 , pp. 285-306
    • Babuska, I.1    Plank, L.2    Rodriguez, R.3
  • 4
    • 0023288565 scopus 로고
    • A simple error estimator and adaptive procedure for practical engineering analysis
    • O.C. Zienkiewicz and J.Z. Zhu, "A simple error estimator and adaptive procedure for practical engineering analysis", Int. J. Numer. Methods Eng. 24, pp. 337-357, 1987.
    • (1987) Int. J. Numer. Methods Eng. , vol.24 , pp. 337-357
    • Zienkiewicz, O.C.1    Zhu, J.Z.2
  • 5
    • 0026866050 scopus 로고
    • The superconvergent patch recovery and a posteriori error estimates. Part I: The recovery technique
    • O.C. Zienkiewicz and J.Z. Zhu, "The superconvergent patch recovery and a posteriori error estimates. Part I: the recovery technique", Int. J. Numer. Methods Eng. 33, pp. 1331-1364, 1992.
    • (1992) Int. J. Numer. Methods Eng. , vol.33 , pp. 1331-1364
    • Zienkiewicz, O.C.1    Zhu, J.Z.2
  • 6
    • 0026869285 scopus 로고
    • The superconvergent patch recovery and a posteriori error estimates. Part 2: Error estimates and adaptivity
    • O.C. Zienkiewicz and J.Z. Zhu, "The superconvergent patch recovery and a posteriori error estimates. Part 2: error estimates and adaptivity", Int. J. Numer. Methods Eng. 33, pp. 1365-1382, 1992.
    • (1992) Int. J. Numer. Methods Eng. , vol.33 , pp. 1365-1382
    • Zienkiewicz, O.C.1    Zhu, J.Z.2
  • 7
    • 0028531773 scopus 로고
    • Enhanced superconvergent patch recovery incorporating equilibrium and boundary conditions
    • N.E. Wiberg, F. Abdulwahab and S. Ziukas, "Enhanced superconvergent patch recovery incorporating equilibrium and boundary conditions", Int. J. Numer. Methods Eng. 37, pp. 3417-3440, 1994.
    • (1994) Int. J. Numer. Methods Eng. , vol.37 , pp. 3417-3440
    • Wiberg, N.E.1    Abdulwahab, F.2    Ziukas, S.3
  • 9
    • 0029322590 scopus 로고
    • Evaluation of some error estimators for the four-noded Lagrangian quadrilateral
    • A.C.A Ramsay and H. Sbresny, "Evaluation of some error estimators for the four-noded Lagrangian quadrilateral", Comm. Numer. Methods Eng. 11, pp. 497-506, 1995.
    • (1995) Comm. Numer. Methods Eng. , vol.11 , pp. 497-506
    • Ramsay, A.C.A.1    Sbresny, H.2
  • 11
    • 0026121855 scopus 로고
    • Error estimation and mesh optimisation for classical finite elements
    • P. Ladeveze, J.P. Pelle, P. Rougeot, "Error estimation and mesh optimisation for classical finite elements", Eng. Comput. 8, pp. 69-80, 1991.
    • (1991) Eng. Comput. , vol.8 , pp. 69-80
    • Ladeveze, P.1    Pelle, J.P.2    Rougeot, P.3
  • 12
    • 0004751753 scopus 로고
    • Adaptivity of meshes with quadrilateral elements. Application to automation of finite element analysis in 2D elasticity
    • P. Coorevits, J.P. Pelle and P. Rougeot, "Adaptivity of meshes with quadrilateral elements. Application to automation of finite element analysis in 2D elasticity", Eur. J. Finite Elements 3, pp. 379-409, 1994.
    • (1994) Eur. J. Finite Elements , vol.3 , pp. 379-409
    • Coorevits, P.1    Pelle, J.P.2    Rougeot, P.3
  • 13
    • 0042120533 scopus 로고
    • Complementary use of displacement and equilibrium models in analysis and design
    • J. Robinson (ed.), Robinson and Associates
    • E.A.W. Maunder and W.G. Hill, "Complementary use of displacement and equilibrium models in analysis and design", in: J. Robinson (ed.), FEM in the Design Process, Robinson and Associates, pp. 493-501, 1990.
    • (1990) FEM in the Design Process , pp. 493-501
    • Maunder, E.A.W.1    Hill, W.G.2
  • 14
    • 0025386344 scopus 로고
    • Element by element a posteriori error estimation and improvement of stress solutions for two-dimensional elastic problems
    • H. Ohtsubo and M. Kitamura, "Element by element a posteriori error estimation and improvement of stress solutions for two-dimensional elastic problems", Int. J. Numer. Methods Eng. 29, pp. 233-244, 1990.
    • (1990) Int. J. Numer. Methods Eng. , vol.29 , pp. 233-244
    • Ohtsubo, H.1    Kitamura, M.2
  • 15
    • 0027576003 scopus 로고
    • A posteriori pointwise upper bound error estimates in the finite element method
    • J.D. Yang, D.W. Kelly and J.D. Isles, "A posteriori pointwise upper bound error estimates in the finite element method", Int. J. Numer. Methods Eng. 36, pp. 1279-1298, 1993.
    • (1993) Int. J. Numer. Methods Eng. , vol.36 , pp. 1279-1298
    • Yang, J.D.1    Kelly, D.W.2    Isles, J.D.3
  • 16
    • 0028410175 scopus 로고
    • A posteriori error estimation for h-p approximations in elastostatics
    • M. Ainsworth, J.T. Oden and W. Wu, "A posteriori error estimation for h-p approximations in elastostatics", Appl. Numer. Math. 4, pp. 23-54, 1994.
    • (1994) Appl. Numer. Math. , vol.4 , pp. 23-54
    • Ainsworth, M.1    Oden, J.T.2    Wu, W.3
  • 17
    • 84985315731 scopus 로고
    • A posteriori error estimates for the finite element method
    • I. Babuska and W.C. Rheinboldt, "A posteriori error estimates for the finite element method", Int. J. Numer. Methods Eng. 12, pp. 1597-1659, 1978.
    • (1978) Int. J. Numer. Methods Eng. , vol.12 , pp. 1597-1659
    • Babuska, I.1    Rheinboldt, W.C.2
  • 21
    • 84952250852 scopus 로고
    • Numerical comparison of several a posteriori error estimators for 2D stress analysis
    • P. Beckers, H.G. Zhong and E.A.W. Maunder, "Numerical comparison of several a posteriori error estimators for 2D stress analysis", Eur. J. Finite Elements 2, pp. 155-178, 1993.
    • (1993) Eur. J. Finite Elements , vol.2 , pp. 155-178
    • Beckers, P.1    Zhong, H.G.2    Maunder, E.A.W.3
  • 22
    • 0030260884 scopus 로고    scopus 로고
    • A general method for recovering equilibrating tractions
    • P. Ladeveze and E.A.W. Maunder, "A general method for recovering equilibrating tractions", Comput. Methods Appl. Mech. Eng., 137, pp. 111-151, 1996.
    • (1996) Comput. Methods Appl. Mech. Eng. , vol.137 , pp. 111-151
    • Ladeveze, P.1    Maunder, E.A.W.2
  • 23
    • 0042621690 scopus 로고
    • Report SF-5, LTAS, University of Liège, Belgium
    • er degré, Report SF-5, LTAS, University of Liège, Belgium, 1969.
    • (1969) er Degré
    • Kieffer, M.1
  • 24
    • 0039348835 scopus 로고
    • Application of the dual analysis principle
    • B. Fraeijs de Veubeke (ed.), Les Congrès et Colloques de l'Université de Liège
    • G. Sander, "Application of the dual analysis principle", in: B. Fraeijs de Veubeke (ed.), High Speed Computing of Elastic Structures, Vol. 61, Les Congrès et Colloques de l'Université de Liège, pp. 167-207, 1971.
    • (1971) High Speed Computing of Elastic Structures , vol.61 , pp. 167-207
    • Sander, G.1
  • 25
    • 0040741729 scopus 로고
    • A reappraisal of compound equilibrium finite elements
    • M.A. Erki and J. Kirkhope (eds.), Carleton University
    • E.A.W. Maunder, "A reappraisal of compound equilibrium finite elements", in: M.A. Erki and J. Kirkhope (eds.), Proc. 12th Canadian Congress of Applied Mechanics, Carleton University, pp. 796-797, 1989.
    • (1989) Proc. 12th Canadian Congress of Applied Mechanics , pp. 796-797
    • Maunder, E.A.W.1
  • 28
    • 0010939841 scopus 로고
    • Quadratic equilibrium elements
    • J. Robinson (ed.), Robinson and Associates
    • E.A.W. Maunder and A.C.A. Ramsay, "Quadratic equilibrium elements", in: J. Robinson (ed.), FEM Today and the Future, Robinson and Associates, pp. 401-407, 1993.
    • (1993) FEM Today and the Future , pp. 401-407
    • Maunder, E.A.W.1    Ramsay, A.C.A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.