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Volumn 42, Issue 6, 2005, Pages 2387-2407

A first-order system least squares finite element method for the shallow water equations

Author keywords

First order system; Least squares finite element method; Method of characteristics; Shallow water equations

Indexed keywords

ERROR ANALYSIS; LEAST SQUARES APPROXIMATIONS;

EID: 23844531397     PISSN: 00361429     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036142903438124     Document Type: Article
Times cited : (15)

References (18)
  • 2
    • 0031645758 scopus 로고    scopus 로고
    • Atmospheric and ocean modeling with an adaptive finite element solver for the shallow-water equations
    • J. BEHRENS, Atmospheric and ocean modeling with an adaptive finite element solver for the shallow-water equations, Appl. Numer. Math., 26 (1998), pp. 217-226.
    • (1998) Appl. Numer. Math. , vol.26 , pp. 217-226
    • Behrens, J.1
  • 3
    • 0042041100 scopus 로고    scopus 로고
    • Local error estimates and adaptive refinement for first-order system least squares
    • M. BERNDT, T. A. MANTEUFFEL, AND S. F. MCCORMICK, Local error estimates and adaptive refinement for first-order system least squares, Electron. Trans. Numer. Anal., 6 (1997), pp. 35-43.
    • (1997) Electron. Trans. Numer. Anal. , vol.6 , pp. 35-43
    • Berndt, M.1    Manteuffel, T.A.2    McCormick, S.F.3
  • 4
    • 0001408249 scopus 로고    scopus 로고
    • Analysis of velocity-flux first-order system least-squares principles for the 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 the 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
  • 5
    • 0032294378 scopus 로고    scopus 로고
    • Finite element methods of least-squares type
    • P. B. BOCHEV AND M. D. GUNZBURGER, Finite element methods of least-squares type, SIAM Rev., 40 (1998), pp. 789-837.
    • (1998) SIAM Rev. , vol.40 , pp. 789-837
    • Bochev, P.B.1    Gunzburger, M.D.2
  • 6
    • 0038017341 scopus 로고    scopus 로고
    • Analysis of velocity-flux least-squares principles for the Navier-Stokes equations: Part II
    • P. BOCHEV, T. A. MANTEUFFEL, AND S. F. MCCORMICK, Analysis of velocity-flux least-squares principles for the Navier-Stokes equations: Part II, SIAM J. Numer. Anal., 36 (1999), pp. 1125-1144.
    • (1999) SIAM J. Numer. Anal. , vol.36 , pp. 1125-1144
    • Bochev, P.1    Manteuffel, T.A.2    McCormick, S.F.3
  • 7
    • 0040194025 scopus 로고    scopus 로고
    • A characteristic-Galerkin approximation to a system of shallow water equations
    • C. N. DAWSON AND M. MARTINEZ-CANALES, A characteristic-Galerkin approximation to a system of shallow water equations, Numer. Math., 86 (2000), pp. 239-256.
    • (2000) Numer. Math. , vol.86 , pp. 239-256
    • Dawson, C.N.1    Martinez-Canales, M.2
  • 9
    • 0004383024 scopus 로고
    • A parallel 2D Lagrangian-Eulerian model for the shallow water equations
    • P. J. Pahl and H. Werner, eds., A. A. Balkema Publishers, Rotterdam, The Netherlands
    • R. HINKELMANN AND W. ZIELKE, A parallel 2D Lagrangian-Eulerian model for the shallow water equations, in Computing in Civil and Building Engineering, Vol. 1, P. J. Pahl and H. Werner, eds., A. A. Balkema Publishers, Rotterdam, The Netherlands, 1995, pp. 537-543.
    • (1995) Computing in Civil and Building Engineering , vol.1 , pp. 537-543
    • Hinkelmann, R.1    Zielke, W.2
  • 10
    • 0037214105 scopus 로고    scopus 로고
    • Transparent boundary conditions for the shallow water equations with a mixed finite element formulation
    • A. HOLSTAD AND I. LIE, Transparent boundary conditions for the shallow water equations with a mixed finite element formulation, Appl. Numer. Math., 44 (2003), pp. 109-138.
    • (2003) Appl. Numer. Math. , vol.44 , pp. 109-138
    • Holstad, A.1    Lie, I.2
  • 11
    • 0033197466 scopus 로고    scopus 로고
    • Mesh adaptation strategies for shallow water flow
    • M. MARROCU AND D. AMBROSI, Mesh adaptation strategies for shallow water flow, Internat. J. Numer. Methods Fluids, 31 (1999), pp. 497-512.
    • (1999) Internat. J. Numer. Methods Fluids , vol.31 , pp. 497-512
    • Marrocu, M.1    Ambrosi, D.2
  • 12
    • 0033602746 scopus 로고    scopus 로고
    • Finite element approximation of quasi-3D shallow water equations
    • E. MIGLIO, A. QUARTERONI, AND F. SALERI, Finite element approximation of quasi-3D shallow water equations, Comput. Methods Appl. Mech. Engrg., 174 (1999), pp. 355-369.
    • (1999) Comput. Methods Appl. Mech. Engrg. , vol.174 , pp. 355-369
    • Miglio, E.1    Quarteroni, A.2    Saleri, F.3
  • 14
    • 0030427887 scopus 로고    scopus 로고
    • A new two-dimensional finite element model for the shallow water equations using a Lagrangian framework constructed along fluid particle trajectories
    • J. PETERA AND V. NASSEHI, A new two-dimensional finite element model for the shallow water equations using a Lagrangian framework constructed along fluid particle trajectories, Internat. J. Numer. Methods Engrg., 39 (1996), pp. 4159-4182.
    • (1996) Internat. J. Numer. Methods Engrg. , vol.39 , pp. 4159-4182
    • Petera, J.1    Nassehi, V.2
  • 15
    • 0042229477 scopus 로고    scopus 로고
    • Gauss-Newton multilevel methods for least-squares finite element computations of variably saturated subsurface flow
    • G. STARKE, Gauss-Newton multilevel methods for least-squares finite element computations of variably saturated subsurface flow, Computing, 64 (2000), pp. 323-338.
    • (2000) Computing , vol.64 , pp. 323-338
    • Starke, G.1
  • 16
    • 0033678357 scopus 로고    scopus 로고
    • Least-squares mixed finite element solution of variably saturated subsurface flow problems
    • G. STARKE, Least-squares mixed finite element solution of variably saturated subsurface flow problems, SIAM J. Sci. Comput., 21 (2000), pp. 1869-1885.
    • (2000) SIAM J. Sci. Comput. , vol.21 , pp. 1869-1885
    • Starke, G.1
  • 17
    • 0032193977 scopus 로고    scopus 로고
    • A robust finite element model for hydrostatic surface water flows
    • R. A. WALTERS AND V. CASULLI, A robust finite element model for hydrostatic surface water flows, Comm. Numer. Methods Engrg., 14 (1998), pp. 931-940.
    • (1998) Comm. Numer. Methods Engrg. , vol.14 , pp. 931-940
    • Walters, R.A.1    Casulli, V.2
  • 18
    • 0029105107 scopus 로고
    • A split-characteristic based finite element model for the shallow water equations
    • O. C. ZIENKIEWICZ AND P. ORTIZ, A split-characteristic based finite element model for the shallow water equations, Internat. J. Numer. Methods Fluids, 20 (1995), pp. 1061-1080.
    • (1995) Internat. J. Numer. Methods Fluids , vol.20 , pp. 1061-1080
    • Zienkiewicz, O.C.1    Ortiz, P.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.