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Volumn 36, Issue 4, 1999, Pages 1065-1077

Multilevel boundary functionals for least-squares mixed finite element methods

Author keywords

Least squares mixed finite element method; Multilevel boundary functionals; Raviart Thomas spaces

Indexed keywords


EID: 0042233269     PISSN: 00361429     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036142997329803     Document Type: Article
Times cited : (23)

References (21)
  • 1
    • 84966251556 scopus 로고
    • Least squares methods for elliptic systems
    • A. K. AZIZ, R. B. KELLOGG, AND A. B. STEPHENS, Least squares methods for elliptic systems, Math. Comp., 44 (1985), pp. 53-70.
    • (1985) Math. Comp. , vol.44 , pp. 53-70
    • Aziz, A.K.1    Kellogg, R.B.2    Stephens, A.B.3
  • 3
    • 0003854283 scopus 로고    scopus 로고
    • Cambridge University Press, Cambridge, UK
    • D. BRAESS, Finite Elements, Cambridge University Press, Cambridge, UK, 1997.
    • (1997) Finite Elements
    • Braess, D.1
  • 5
    • 0002191340 scopus 로고
    • A generalized Ritz-least-squares method for Dirichlet problems
    • J. H. BRAMBLE AND J. A. NITSCHE, A generalized Ritz-least-squares method for Dirichlet problems, SIAM J. Numer. Anal., 10 (1973), pp. 81-93.
    • (1973) SIAM J. Numer. Anal. , vol.10 , pp. 81-93
    • Bramble, J.H.1    Nitsche, J.A.2
  • 6
    • 84966234195 scopus 로고
    • Parallel multilevel preconditioners
    • J. H. BRAMBLE, J. E. PASCIAK, AND J. XU, Parallel multilevel preconditioners, Math. Comp., 55 (1990), pp. 1-22.
    • (1990) Math. Comp. , vol.55 , pp. 1-22
    • Bramble, J.H.1    Pasciak, J.E.2    Xu, J.3
  • 9
    • 0028747782 scopus 로고
    • First-order system least squares for second-order partial differential equations: Part i
    • Z. CAI, R. D. LAZAROV, T. A. MANTEUFFEL, AND S. F. MCCORMICK, First-order system least squares for second-order 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.A.3    McCormick, S.F.4
  • 10
    • 0000260122 scopus 로고    scopus 로고
    • First-order system least squares for second-order partial differential equations: Part II
    • Z. CAI, T. A. MANTEUFFEL, AND S. F. MCCORMICK, 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
    • Cai, Z.1    Manteuffel, T.A.2    McCormick, S.F.3
  • 13
    • 0040455480 scopus 로고
    • A least squares decomposition method for solving elliptic equations
    • D. C. JESPERSEN, A least squares decomposition method for solving elliptic equations, Math. Comp., 31 (1977), pp. 873-880.
    • (1977) Math. Comp. , vol.31 , pp. 873-880
    • Jespersen, D.C.1
  • 14
    • 0001594654 scopus 로고
    • Multilevel preconditioning - Appending boundary conditions by lagrange multipliers
    • A. KUNOTH, Multilevel preconditioning - appending boundary conditions by Lagrange multipliers, Adv. Comput. Math., 4 (1995), pp. 145-170.
    • (1995) Adv. Comput. Math. , vol.4 , pp. 145-170
    • Kunoth, A.1
  • 16
    • 84951671794 scopus 로고
    • Über ein variationsprinzip zur lösung von dirichlet-problemen bei verwendung von teilräumen, die keinen randbedingungen unterworfen sind
    • J. A. NITSCHE, Über ein Variationsprinzip zur Lösung von Dirichlet-Problemen bei Verwendung von Teilräumen, die keinen Randbedingungen unterworfen sind, Abh. Math. Sem. Univ. Hamburg, 36 (1971), pp. 9-15.
    • (1971) Abh. Math. Sem. Univ. Hamburg , vol.36 , pp. 9-15
    • Nitsche, J.A.1
  • 18
    • 0028517692 scopus 로고
    • Least-squares mixed finite elements for second-order elliptic problems
    • A. I. PEHLIVANOV, G. F. CAREY, AND R. D. LAZAROV, Least-squares mixed finite elements for second-order elliptic problems, SIAM J. Numer. Anal., 31 (1994), pp. 1368-1377.
    • (1994) SIAM J. Numer. Anal. , vol.31 , pp. 1368-1377
    • Pehlivanov, A.I.1    Carey, G.F.2    Lazarov, R.D.3
  • 20
    • 85034153113 scopus 로고    scopus 로고
    • Least-squares mixed finite element solution of variably saturated subsurface flow problems
    • to appear
    • G. STARKE, Least-squares mixed finite element solution of variably saturated subsurface flow problems, SIAM J. Sci. Comput., to appear.
    • SIAM J. Sci. Comput.
    • Starke, G.1
  • 21
    • 0000760561 scopus 로고
    • Two preconditioners based on the multi-level splitting of finite element spaces
    • H. YSERENTANT, Two preconditioners based on the multi-level splitting of finite element spaces, Numer. Math., 58 (1990), pp. 163-184.
    • (1990) Numer. Math. , vol.58 , pp. 163-184
    • Yserentant, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.