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Volumn 32, Issue 7, 1998, Pages 817-842

A posteriori error estimates for nonlinear problems. Lr -estimates for finite element discretizations of elliptic equations

Author keywords

A posteriori error estimates; Navier Stokes equations; Nonlinear elliptic pcdes

Indexed keywords


EID: 0040114908     PISSN: 0764583X     EISSN: None     Source Type: Journal    
DOI: 10.1051/m2an/1998320708171     Document Type: Article
Times cited : (10)

References (20)
  • 1
  • 2
    • 0000613724 scopus 로고
    • Error estimates for adaptive finite element computations
    • I. BABUŠKA and W. C. RHEINBOLDT, Error estimates for adaptive finite element computations. SIAM J. Numer. Anal. 15, 736-754 (1978).
    • (1978) SIAM J. Numer. Anal. , vol.15 , pp. 736-754
    • Babuška, I.1    Rheinboldt, W.C.2
  • 3
    • 84985315731 scopus 로고
    • A posteriori error estimates for the finite element method
    • _, A posteriori error estimates for the finite element method. Int. J. Numer. Methods in Engrg. 12, 1597-1615 (1978).
    • (1978) Int. J. Numer. Methods in Engrg. , vol.12 , pp. 1597-1615
  • 7
    • 0016541865 scopus 로고
    • Approximation by finite element functions using local regularization
    • P. CLéMENT, Approximation by finite element functions using local regularization. RAIRO Anal. Numér. 9, 77-84 (1975).
    • (1975) RAIRO Anal. Numér. , vol.9 , pp. 77-84
    • Clément, P.1
  • 9
    • 0000406321 scopus 로고
    • An adaptive finite element method with efficient maximum norm error control for elliptic problems
    • K. ERIKSSON, An adaptive finite element method with efficient maximum norm error control for elliptic problems. Math. Models and Math, in Appl. Sci. 4, 313-329 (1994).
    • (1994) Math. Models and Math, in Appl. Sci. , vol.4 , pp. 313-329
    • Eriksson, K.1
  • 10
    • 84966225938 scopus 로고
    • An adaptive finite element method for linear elliptic problems
    • K. ERIKSSON and C. JOHNSON, An adaptive finite element method for linear elliptic problems. Math. Comput. 50, 361-383 (1988).
    • (1988) Math. Comput. , vol.50 , pp. 361-383
    • Eriksson, K.1    Johnson, C.2
  • 11
    • 0026106415 scopus 로고
    • Adaptive finite element methods for parabolic problems I. A linear model problem
    • _, Adaptive finite element methods for parabolic problems I. A linear model problem. SIAM J. Numer. Anal. 28, 43-77 (1991).
    • (1991) SIAM J. Numer. Anal. , vol.28 , pp. 43-77
  • 13
    • 0039227294 scopus 로고
    • Finite element approximation of the Navier-Stokes equations
    • Springer, Berlin, 2nd edition
    • V. GIRAULT and P. A. RAVIART, Finite Element Approximation of the Navier-Stokes Equations. Computational Methods in Physics, Springer, Berlin, 2nd edition, 1986.
    • (1986) Computational Methods in Physics
    • Girault, V.1    Raviart, P.A.2
  • 15
    • 0027004931 scopus 로고
    • Adaptive finite element methods in computational mechanics
    • C. JOHNSON and P. HANSBO, Adaptive finite element methods in computational mechanics. Comp. Math. Appl. Mech. Engrg. 101, 143-181 (1992).
    • (1992) Comp. Math. Appl. Mech. Engrg. , vol.101 , pp. 143-181
    • Johnson, C.1    Hansbo, P.2
  • 16
    • 84968465448 scopus 로고
    • Pointwise a posteriori error estimates for elliptic problems on highly graded meshes
    • R. H. NOCHETTO, Pointwise a posteriori error estimates for elliptic problems on highly graded meshes. Math. Comput. 64, 1-22 (1995).
    • (1995) Math. Comput. , vol.64 , pp. 1-22
    • Nochetto, R.H.1
  • 17
    • 84918708465 scopus 로고
    • Consistency, stability, a priori, and a posteriori errors for Petrov-Galerkin methods applied to nonlinear problems
    • J. POUSIN and J. RAPPAZ, Consistency, stability, a priori, and a posteriori errors for Petrov-Galerkin methods applied to nonlinear problems. Numer. Math. 69, 213-231 (1994).
    • (1994) Numer. Math. , vol.69 , pp. 213-231
    • Pousin, J.1    Rappaz, J.2
  • 18
    • 84968521915 scopus 로고
    • A posteriori error estimates for nonlinear problems. Finite element discretizations of elliptic equations
    • R. VERFÜRTH, A posteriori error estimates for nonlinear problems. Finite element discretizations of elliptic equations. Math. Comput. (206), 445-475 (1994).
    • (1994) Math. Comput. , Issue.206 , pp. 445-475
    • Verfürth, R.1
  • 19
    • 85030058019 scopus 로고
    • A posteriori error estimates for nonlinear problems
    • Bericht. Ruhr-Universität Bochum
    • _, A posteriori error estimates for nonlinear problems. Finite element discretizations of parabolic problems. Bericht Nr. 180, Ruhr-Universität Bochum, 1995.
    • (1995) Finite Element Discretizations of Parabolic Problems , vol.180
  • 20
    • 0003435748 scopus 로고    scopus 로고
    • A review of a posteriori error estimation and adaptive mesh-refinement techniques
    • Stuttgart
    • _, A Review of A Posteriori Error Estimation and Adaptive Mesh-Refinement Techniques. Wiley-Teubner Series in advances in numerical mathematics, Stuttgart, 1996.
    • (1996) Wiley-Teubner Series in Advances in Numerical Mathematics


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.