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Volumn 19, Issue 6, 1998, Pages 1958-1979

First-order system least squares (FOSLS) for convection-diffusion problems: Numerical results

Author keywords

Convection diffusion; Least squares; Multigrid

Indexed keywords

CONVECTION DIFFUSION PROBLEMS; FIRST ORDER SYSTEM LEAST SQUARES; MULTIGRID;

EID: 0032203447     PISSN: 10648275     EISSN: None     Source Type: Journal    
DOI: 10.1137/S1064827596301169     Document Type: Article
Times cited : (22)

References (17)
  • 1
    • 34250459417 scopus 로고
    • The finite element method with Lagrange multipliers
    • I. BABUŠKA, The finite element method with Lagrange multipliers, Numer. Math., 20 (1973).
    • (1973) Numer. Math. , vol.20
    • Babuška, I.1
  • 2
    • 0001408249 scopus 로고    scopus 로고
    • Analysis of velocity-flux first-order system least-squares principles for Navier-Stokes equations: Part I
    • P. BOCHEV, Z. CAI, T. A. MANTEUFFEL, AND S. F. MCCORMICK, Analysis of velocity-flux first-order system least-squares principles for Navier-Stokes equations: Part I, SIAM J. Numer. Anal., 35 (1998), pp. 990-1009.
    • (1998) SIAM J. Numer. Anal. , vol.35 , pp. 990-1009
    • Bochev, P.1    Cai, Z.2    Manteuffel, T.A.3    Mccormick, S.F.4
  • 3
    • 0016093926 scopus 로고
    • On existence, uniqueness and approximation of saddle-point problems arising from Lagrange multipliers
    • F. BREZZI, On existence, uniqueness and approximation of saddle-point problems arising from Lagrange multipliers, RAIRO Anal. Numér., 2 (1974), pp. 129-151.
    • (1974) RAIRO Anal. Numér , vol.2 , pp. 129-151
    • Brezzi, F.1
  • 5
    • 0028747782 scopus 로고
    • First-order system least squares for partial differential equations: Part I
    • Z. CAI, R. D. LAZAROV, T. MANTEUFFEL, AND S. F. MCCORMICK, First-order system least squares for partial differential equations: Part I, SIAM J. Numer. Anal., 31 (1994), pp. 1785-1799.
    • (1994) SIAM J. Numer. Anal. , vol.31 , pp. 1785-1799
    • Cai, Z.1    Lazarov, R.D.2    Manteuffel, T.3    Mccormick, S.F.4
  • 6
    • 0000260122 scopus 로고    scopus 로고
    • First-order system least squares for partial differential equations: Part II
    • Z. CAI, T. A. MANTEUFFEL, AND S. F. MCCORMICK, First-order system least squares for partial differential equations: Part II, SIAM J. Numer. Anal., 34 (1997), pp. 425-454.
    • (1997) SIAM J. Numer. Anal. , vol.34 , pp. 425-454
    • Cai, Z.1    Manteuffel, T.A.2    Mccormick, S.F.3
  • 7
    • 0000260120 scopus 로고    scopus 로고
    • First-order system least squares for Stokes equations, with application to linear elasticity
    • Z. CAI, T. A. MANTEUFFEL, AND S. F. MCCORMICK, First-order system least squares for Stokes equations, with application to linear elasticity, SIAM J. Numer. Anal., 34 (1997), pp. 1727-1741.
    • (1997) SIAM J. Numer. Anal. , vol.34 , pp. 1727-1741
    • Cai, Z.1    Manteuffel, T.A.2    Mccormick, S.F.3
  • 10
    • 0001854829 scopus 로고
    • A comparison of uniformly convergent difference schemes for two-dimensional convection-diffusion problems
    • A. F. HEGARTY, E. O'RIORDAN, AND M. STYNES, A comparison of uniformly convergent difference schemes for two-dimensional convection-diffusion problems, J. Comput. Phys., 105 (1993), pp. 24-32.
    • (1993) J. Comput. Phys. , vol.105 , pp. 24-32
    • Hegarty, A.F.1    O'Riordan, E.2    Stynes, M.3
  • 11
    • 85034307546 scopus 로고    scopus 로고
    • An error estimate for a four point finite volume scheme for the convection-diffusion equation on a triangular mesh
    • to appear
    • R. HERBIN, An error estimate for a four point finite volume scheme for the convection-diffusion equation on a triangular mesh, Numer. Methods Partial Differential Equations, to appear.
    • Numer. Methods Partial Differential Equations
    • Herbin, R.1
  • 15
    • 0007269616 scopus 로고
    • Multilevel Projection Methods for Partial Differential Equations
    • SIAM, Philadelphia
    • S. F. MCCORMICK, Multilevel Projection Methods for Partial Differential Equations, NSF CBMS Regional Conference Series 67, SIAM, Philadelphia, 1992.
    • (1992) NSF CBMS Regional Conference Series 67
    • Mccormick, S.F.1
  • 17
    • 0001175293 scopus 로고
    • A mixed finite element method for second order elliptic problems
    • Springer-Verlag, Berlin, New York
    • P. A. RAVIART AND I. M. THOMAS, A mixed finite element method for second order elliptic problems, Lecture Notes in Math. 606, Springer-Verlag, Berlin, New York, 1977, pp. 292-315.
    • (1977) Lecture Notes in Math. , vol.606 , pp. 292-315
    • Raviart, P.A.1    Thomas, I.M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.