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Volumn 69, Issue 10, 2007, Pages 2075-2098

Equilibrated patch recovery error estimates: Simple and accurate upper bounds of the error

Author keywords

Equilibrated stresses; Error estimates; Stress recovery; Upper bounds

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; STATISTICAL METHODS; STRESSES;

EID: 33847713674     PISSN: 00295981     EISSN: 10970207     Source Type: Journal    
DOI: 10.1002/nme.1837     Document Type: Article
Times cited : (54)

References (30)
  • 5
    • 0026866050 scopus 로고
    • The superconvergent patch recovery (SPR) and a posteriori error estimates. Part 1: The recovery technique
    • Zienkiewicz OC, Zhu JZ. The superconvergent patch recovery (SPR) and a posteriori error estimates. Part 1: 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
  • 6
    • 0026869285 scopus 로고
    • The superconvergent patch recovery (SPR) and a posteriori error estimates. Part 2: Error estimates and adaptivity
    • Zienkiewicz OC, Zhu JZ. The superconvergent patch recovery (SPR) and a posteriori error estimates. Part 2: 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
  • 7
    • 0028407162 scopus 로고
    • A model study of the quality of a posteriori error estimators 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 estimators 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
  • 9
    • 0041127816 scopus 로고
    • An objective criterion for assessing the reliability of a posteriori error estimators in finite element computations. U.S.A.C.M
    • 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. U.S.A.C.M. Bulletin 1994; 7:4-16.
    • (1994) Bulletin , vol.7 , pp. 4-16
    • Babuška, I.1    Strouboulis, T.2    Upadhyay, C.S.3    Gangaraj, S.K.4    Copps, K.5
  • 11
    • 0037436460 scopus 로고    scopus 로고
    • Recovering lower bounds of the error postprocessing implicit residual a posteriori error estimates
    • Díez P, Parés N, Huerta A. Recovering lower bounds of the error postprocessing implicit residual a posteriori error estimates. International Journal for Numerical Methods in Engineering 2003; 56:1465-1488.
    • (2003) International Journal for Numerical Methods in Engineering , vol.56 , pp. 1465-1488
    • Díez, P.1    Parés, N.2    Huerta, A.3
  • 15
    • 0030269078 scopus 로고    scopus 로고
    • Effective error estimation from continuous, boundary admissible estimated stress fields
    • Ramsay ACA, Maunder EAW. Effective error estimation from continuous, boundary admissible estimated stress fields. Computers and Structures 1996; 61:331-343.
    • (1996) Computers and Structures , vol.61 , pp. 331-343
    • Ramsay, A.C.A.1    Maunder, E.A.W.2
  • 17
    • 0031193027 scopus 로고    scopus 로고
    • Built-in field equations for recovery procedures
    • Aalto J. Built-in field equations for recovery procedures. Computers and Structures 1997; 64:157-176.
    • (1997) Computers and Structures , vol.64 , pp. 157-176
    • Aalto, J.1
  • 18
    • 0031191607 scopus 로고    scopus 로고
    • An element by element recovery method with built-in field equations
    • Aalto J. An element by element recovery method with built-in field equations. Computers and Structures 1997; 64:177-196.
    • (1997) Computers and Structures , vol.64 , pp. 177-196
    • Aalto, J.1
  • 19
    • 0343932611 scopus 로고    scopus 로고
    • Built-in field equations for patch recovery procedures using weighted residuals
    • Aalto J, Perälä M. Built-in field equations for patch recovery procedures using weighted residuals. Computers and Structures 1999; 73:91-118.
    • (1999) Computers and Structures , vol.73 , pp. 91-118
    • Aalto, J.1    Perälä, M.2
  • 20
    • 0343496774 scopus 로고    scopus 로고
    • Polynomial representation for patch recovery procedures
    • Aalto J, Åman M. Polynomial representation for patch recovery procedures. Computers and Structures 1999; 73: 119-146.
    • (1999) Computers and Structures , vol.73 , pp. 119-146
    • Aalto, J.1    Åman, M.2
  • 22
    • 0032098195 scopus 로고    scopus 로고
    • Error estimation based on superconvergent patch recovery using statically admissible stress fields
    • Kvamsdal T, Okstad KM. Error estimation based on superconvergent patch recovery using statically admissible stress fields. International Journal for Numerical Methods in Engineering 1998; 42:443-472.
    • (1998) International Journal for Numerical Methods in Engineering , vol.42 , pp. 443-472
    • Kvamsdal, T.1    Okstad, K.M.2
  • 24
    • 33847694165 scopus 로고    scopus 로고
    • Modification of the SPR technique to ensure the fulfillment of imposed tractions in boundary nodes
    • In Wiberg NE, Díez P (eds) CIMNE
    • Ródenas JJ, Fuenmayor FJ, Roda A, Pedrosa A. Modification of the SPR technique to ensure the fulfillment of imposed tractions in boundary nodes. In Adaptive Modeling and Simulation, Wiberg NE, Díez P (eds), vol. I. CIMNE, 2003.
    • (2003) Adaptive Modeling and Simulation , vol.1
    • Ródenas, J.J.1    Fuenmayor, F.J.2    Roda, A.3    Pedrosa, A.4
  • 25
    • 33847726100 scopus 로고    scopus 로고
    • Improvement of the superconvergent patch recovery technique by the use of constraint equations: The SPR-C technique
    • Preprint
    • Ródenas JJ, Tur M, Fuenmayor FJ, Vercher A. Improvement of the superconvergent patch recovery technique by the use of constraint equations: the SPR-C technique. Preprint.
    • Ródenas, J.J.1    Tur, M.2    Fuenmayor, F.J.3    Vercher, A.4
  • 27
    • 0032206448 scopus 로고    scopus 로고
    • Incorporation of linear multipoint constraints in substructure based iterative solvers. Part 1: A numerically stable algorithm
    • Farhat C, Lacour C, Rixen D. Incorporation of linear multipoint constraints in substructure based iterative solvers. Part 1: a numerically stable algorithm. International Journal for Numerical Methods in Engineering 1998; 43:997-1016.
    • (1998) International Journal for Numerical Methods in Engineering , vol.43 , pp. 997-1016
    • Farhat, C.1    Lacour, C.2    Rixen, D.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.