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Volumn 50, Issue 181, 1988, Pages 1-17

A preconditioning technique for indefinite systems resulting from mixed approximations of elliptic problems

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EID: 84966214346     PISSN: 00255718     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0025-5718-1988-0917816-8     Document Type: Article
Times cited : (327)

References (24)
  • 2
    • 34250459417 scopus 로고
    • The finite element method with Lagrangian multipliers
    • I. Babuska, "The finite element method with Lagrangian multipliers, " Numer. Math., v. 20, 1973,. 179-192.
    • (1973) Numer. Math , vol.20 , pp. 179-192
    • Babuska, I.1
  • 3
    • 84966201366 scopus 로고    scopus 로고
    • Iterative Methods for Solving Finite Element or Finite Difference Equations for Elliptic Problems
    • Unpublished
    • J. H. BRAMBLE, Iterative Methods for Solving Finite Element or Finite Difference Equations for Elliptic Problems, Lecture Notes. (Unpublished)
    • Lecture Notes
    • Bramble, J.H.1
  • 4
    • 84966242349 scopus 로고
    • The Lagrange multiplier method for Dirichlet's problem
    • J. H. BRAMBLE, "The Lagrange multiplier method for Dirichlet's problem, " Math. Comp., v. 37, 1981,. 1-12.
    • (1981) Math. Comp , vol.37 , pp. 1-12
    • Bramble, J.H.1
  • 5
    • 0022119753 scopus 로고
    • A boundary parametric approximation to the linearized scalar potential magnetostatic field problem
    • J. H. BRAMBLE, E. PASCIAK, "A boundary parametric approximation to the linearized scalar potential magnetostatic field problem, " Appl. Numer. Math., v. 1, 1985,. 493-514.
    • (1985) Appl. Numer. Math , vol.1 , pp. 493-514
    • Bramble, J.H.1    Pasciak, E.2
  • 6
    • 84966238014 scopus 로고
    • An iterative method for elliptic problems on regions partitioned into substructures
    • J. H. BRAMBLE, J. E. PASCIAK & A. H. SCHATZ, "An iterative method for elliptic problems on regions partitioned into substructures, " Math. Comp., v. 46, 1986,. 361-369.
    • (1986) Math. Comp , vol.46 , pp. 361-369
    • Bramble, J.H.1    Pasciak, J.E.2    Schatz, A.H.3
  • 7
    • 84966199070 scopus 로고
    • The construction of preconditioners for elliptic problems by substructuring. I
    • J. H. BRAMBLE, J. E. PASCIAK & A. H. SCHATZ, "The construction of preconditioners for elliptic problems by substructuring. I, " Math. Comp., v. 47, 1986,. 103-134.
    • (1986) Math. Comp , vol.47 , pp. 103-134
    • Bramble, J.H.1    Pasciak, J.E.2    Schatz, A.H.3
  • 8
    • 84966251372 scopus 로고
    • The construction of preconditioners for elliptic problems by substructuring. II
    • J. H. BRAMBLE, J. E. PASCIAK & A. H. SCHATZ, "The construction of preconditioners for elliptic problems by substructuring. II, " Math. Comp., v. 49, 1987,. 1-16.
    • (1987) Math. Comp , vol.49 , pp. 1-16
    • Bramble, J.H.1    Pasciak, J.E.2    Schatz, A.H.3
  • 9
    • 0016093926 scopus 로고
    • On the existence, uniqueness and approximation of saddle-point problems arising from Lagrange multipliers
    • F. BREZZI, "On the existence, uniqueness and approximation of saddle-point problems arising from Lagrange multipliers, " RAIRO, 1974,. 129-151.
    • (1974) RAIRO , pp. 129-151
    • Brezzi, F.1
  • 10
    • 0004185327 scopus 로고
    • Conjugate Gradient Methods for Partial Differential Equations, Yale Univ. Dept. Of Comp
    • R. CHANDRA, Conjugate Gradient Methods for Partial Differential Equations, Yale Univ., Dept. of Comp. Sei., Rep. No. 129, 1978.
    • (1978) Sei., Rep. No , pp. 129
    • Chandra, R.1
  • 13
    • 84966257701 scopus 로고
    • An analysis of the finite element method using Lagrange multipliers for the stationary Stokes equations
    • R. S. FALK, "An analysis of the finite element method using Lagrange multipliers for the stationary Stokes equations, " Math. Comp., v. 30, 1976, pp. 241-269.
    • (1976) Math. Comp , vol.30 , pp. 241-269
    • Falk, R.S.1
  • 14
    • 0001103820 scopus 로고
    • Error estimates for mixed methods, " RAIRO Numer
    • R. S. FALK & J. E. OSBORN, "Error estimates for mixed methods, " RAIRO Numer. Anal., v. 14, 1980,. 249-277.
    • (1980) Anal , vol.14 , pp. 249-277
    • Falk, R.S.1    Osborn, J.E.2
  • 16
    • 0003280796 scopus 로고
    • Finite Element Approximation of the Navier-Stokes Equations
    • Springer-Verlag, New York
    • V. GIRAULT & P. A. Raviart, Finite Element Approximation of the Navier-Stokes Equations, Lecture Notes in Math., vol. 749, Springer-Verlag, New York, 1981.
    • (1981) Lecture Notes in Math , vol.749
    • Girault, V.1    Raviart, P.A.2
  • 17
    • 84968510953 scopus 로고
    • Analysis of some mixed finite element methods related to reduced integration
    • C. JOHNSON & J. Pitkaranta, "Analysis of some mixed finite element methods related to reduced integration, " Math. Comp., v. 38, 1982,. 375-400.
    • (1982) Math. Comp , vol.38 , pp. 375-400
    • Johnson, C.1    Pitkaranta, J.2
  • 18
    • 0001925003 scopus 로고
    • Elements finis mixtes incompressibles pour l'équation de Stokes dans R3
    • J. C. NEDELEC, "Elements finis mixtes incompressibles pour l'équation de Stokes dans R3, " Numer. Math., v. 39, 1982,. 97-112
    • (1982) Numer. Math , vol.39 , pp. 97-112
    • Nedelec, J.C.1
  • 19
    • 84966254851 scopus 로고
    • 3RD, Iterative Methods for the Solution of a Linear Operator Equation in Hubert Space — A Survey
    • Springer-Verlag, New York
    • W. M. PATTERSON, 3RD, Iterative Methods for the Solution of a Linear Operator Equation in Hubert Space — A Survey, Lecture Notes in Math., vol. 394, Springer-Verlag, New York, 1974.
    • (1974) Lecture Notes in Math , vol.394
    • Patterson, W.M.1
  • 20
    • 0001175293 scopus 로고
    • A mixed finite element method for 2-nd order elliptic problems
    • I. Galligani and E. Magenes, edsLecture Notes in Math, Springer-Verlag, New York
    • P. A. RAVIART &. U. THOMAS, "A mixed finite element method for 2-nd order elliptic problems, " in Mathematical Aspects of Finite Element Methods (I. Galligani and E. Magenes, eds.), Lecture Notes in Math., vol. 606, Springer-Verlag, New York, 1977, 292-315.
    • (1977) Mathematical Aspects of Finite Element Methods , vol.606 , pp. 292-315
    • Thomas, P.1
  • 21
    • 0043105585 scopus 로고
    • Conforming Finite Element Methods for Incompressible and Nearly Incompressible Continua
    • Univ. of Maryland, Tech. Rep. BN-1018
    • L. R. SCOTT & M. VOGELIUS, Conforming Finite Element Methods for Incompressible and Nearly Incompressible Continua, Inst, for Phys. Sei. and Tech., Univ. of Maryland, Tech. Rep. BN-1018, 1984.
    • (1984) Inst, for Phys. Sei. And Tech
    • Scott, L.R.1    Vogelius, M.2
  • 22
    • 0000595101 scopus 로고
    • The methods of cyclic reduction, Fourier analysis and the FACR algorithm for the discrete solution of Poisson's equation on a rectangle
    • P. N. SWARZTRAUBER, "The methods of cyclic reduction, Fourier analysis and the FACR algorithm for the discrete solution of Poisson's equation on a rectangle, " SIAM Rev., v. 19, 1977, pp. 490-501.
    • (1977) SIAM Rev , vol.19 , pp. 490-501
    • Swarztrauber, P.N.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.