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The standard Galerkin method

  • Vidar Thomée
Chapter
Part of the Lecture Notes in Mathematics book series (LNM, volume 1054)

Keywords

Elliptic Problem Piecewise Linear Function Finite Element Approximation Galerkin Approximation Interior Vertex 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    J. Douglas, Jr. and T. Dupont, Galerkin methods for parabolic equations, SIAM J. Numer. Anal. 7, 575–626(1970).MathSciNetCrossRefzbMATHGoogle Scholar
  2. 2.
    H.S. Price and R.S. Varga, Error bounds for semi-discrete Galerkin approximations of parabolic problems with applications to petroleum reservoir mechanics. Numerical Solution of Field Problems in Continuum Physics. AMS, Providence, R.I., 74–94(1970).Google Scholar
  3. 3.
    G. Fix and N. Nassif, On finite element approximations in time dependent problems, Numer. Math. 19, 127–135(1972).MathSciNetCrossRefzbMATHGoogle Scholar
  4. 4.
    M.F. Wheeler, A priori L2 error estimates for Galerkin approximations to parabolic partial differential equations, SIAM J. Numer. Anal. 10, 723–759(1973).MathSciNetCrossRefzbMATHGoogle Scholar
  5. 5.
    P.G. Ciarlet, The Finite Element Method for Elliptic Problems, North Holland, Amsterdam (1978).zbMATHGoogle Scholar

Copyright information

© Springer-Verlag 1984

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  • Vidar Thomée

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