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Volumn 6, Issue , 1997, Pages 35-43

Local error estimates and adaptive refinement for first-order system least squares (fosls)

Author keywords

A posteriori error estimates; Adaptive mesh refinement; First order system least squares

Indexed keywords


EID: 0042041100     PISSN: 10689613     EISSN: 10689613     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (63)

References (13)
  • 1
    • 0000613724 scopus 로고
    • Error estimates for adaptive finite element computations
    • I. BABUŠKA AND W. C. RHEINBOLT, Error estimates for adaptive finite element computations, SIAM J. Numer. Anal., 15 (1978), pp. 736-754.
    • (1978) SIAM J. Numer. Anal. , vol.15 , pp. 736-754
    • Babuška, I.1    Rheinbolt, W.C.2
  • 2
    • 0027642848 scopus 로고
    • A posteriori error estimates based on hierarchical bases
    • R. E. BANK AND R. K. SMITH, A posteriori error estimates based on hierarchical bases, SIAM J. Numer. Anal., 30 (1993), pp. 921-935.
    • (1993) SIAM J. Numer. Anal. , vol.30 , pp. 921-935
    • Bank, R.E.1    Smith, R.K.2
  • 3
    • 84968498693 scopus 로고
    • Analysis of least squares finite element methods for the Stokes equations
    • P. B. BOCHEV AND M. D. GUNZBURGER, Analysis of least squares finite element methods for the Stokes equations, Math. Comp., 63 (1994), pp. 479-506.
    • (1994) Math. Comp. , vol.63 , pp. 479-506
    • Bochev, P.B.1    Gunzburger, M.D.2
  • 4
    • 0029389039 scopus 로고
    • -, Least-squares methods for the velocity-pressure-stress formulation of the Stokes equations, Comp. Meth. Appl. Mech. Eng., 126 (1995), pp. 267-287.
    • (1995) Comp. Meth. Appl. Mech. Eng. , vol.126 , pp. 267-287
  • 5
    • 0028747782 scopus 로고
    • First-order system least squares for second-order partial differential equations: Parti
    • Z. GAI, R. D. LAZAROV, T. A. MANTEUFFEL, AND S. F. MCCORMICK, First-order system least squares for second-order partial differential equations: Parti, SIAM J. Numer. Anal., 31 (1994), pp. 1785-1799.
    • (1994) SIAM J. Numer. Anal. , vol.31 , pp. 1785-1799
    • Gai, Z.1    Lazarov, R.D.2    Manteuffel, T.A.3    Mccormick, S.F.4
  • 6
    • 0003172782 scopus 로고
    • First-order system least squares for velocityvorticity-pressure form of the Stokes equations, with applications to linear elasticity
    • Z. CAI, T. A. MANTEUFFEL, AND S. F. MCCORMICK, First-order system least squares for velocityvorticity-pressure form of the Stokes equations, with applications to linear elasticity, Electron. Trans. Numer. Anal., 3(1995), pp. 150-159.
    • (1995) Electron. Trans. Numer. Anal. , vol.3 , pp. 150-159
    • Cai, Z.1    Manteuffel, T.A.2    Mccormick, S.F.3
  • 7
    • 0000260122 scopus 로고    scopus 로고
    • -, First-order system least squares for second-order partial differential equations: Part II, SIAM J. Numer. Anal., 34 (1997), pp. 425-454.
    • (1997) SIAM J. Numer. Anal. , vol.34 , pp. 425-454
  • 8
    • 53249157221 scopus 로고    scopus 로고
    • (to appear).
    • -, First-order system least squares for the Stokes equations with applications to linear elasticity, SIAM J. Numer. Anal., (to appear).
    • SIAM J. Numer. Anal.
  • 9
    • 84968515647 scopus 로고
    • An error estimate of the least squares finite element method for the Stokes problem in three dimensions
    • C. L. CHANG, An error estimate of the least squares finite element method for the Stokes problem in three dimensions, Math. Comp., 63 (1994), pp. 41-50.
    • (1994) Math. Comp. , vol.63 , pp. 41-50
    • Chang, C.L.1
  • 10
    • 1542639888 scopus 로고    scopus 로고
    • A convergent adaptive algorithm for poisson's equation
    • W. DÖRFLER, A convergent adaptive algorithm for poisson's equation, SIAM J. Numer. Anal., 33 (1996), pp. 1106-1124.
    • (1996) SIAM J. Numer. Anal. , vol.33 , pp. 1106-1124
    • Dörfler, W.1
  • 11
    • 0032203447 scopus 로고    scopus 로고
    • First-order system least squares (FOSLS) for convection-diffusion problems: Numerical results
    • (to appear).
    • J. M. FIARD, T. A. MANTEUFFEL, AND S. F. MCCORMICK, First-order system least squares (FOSLS) for convection-diffusion problems: Numerical results, SIAM J. Sci. Comput., (to appear).
    • SIAM J. Sci. Comput.
    • Fiard, J.M.1    Manteuffel, T.A.2    Mccormick, S.F.3
  • 12
    • 0023306448 scopus 로고
    • Adaptive refinement for least-squares finite elements with element-byelement conjugate gradient solution
    • B. N. JIANG AND G. F. CARET, Adaptive refinement for least-squares finite elements with element-byelement conjugate gradient solution, Int. J. Numer. Meth. Engr., 24 (1987), pp. 569-580.
    • (1987) Int. J. Numer. Meth. Engr. , vol.24 , pp. 569-580
    • Jiang, B.N.1    Caret, G.F.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.