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Equadiff 6 pp 295-302 | Cite as

Analysis of thacker's method for solving the linearized shallow water equations

  • J. Descloux
  • R. Ferro
Lectures Presented In Sections Section C Numerical Methods
Part of the Lecture Notes in Mathematics book series (LNM, volume 1192)

Keywords

Mass Conservation Shallow Water Equation Bounded Open Domain Classical Sobolev Space Finite Element Function 
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]
    W.C. THACKER, Irregular Grid Finite-Difference Techniques: Simulations of Oscillations in Shallow Circular Basins, Journal of Oceanography, Vol. 7, 1977, 284–292.Google Scholar
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    W.C. THACKER, Comparison of Finite-Element and Finite-Differences Schemes, Part I: One-Dimensional Cravity Wave Motion, Part II: Two-Dimensional Gravity Wave Motion, Journal of Oceanography, vol. 8, 1978, 676–689.Google Scholar
  3. [3]
    G. STRANG, Accurate Partial Difference Methods, Numerische Mathematik, 6, 1964, 37–46.MathSciNetCrossRefzbMATHGoogle Scholar
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    J.DESCLOUX, R.FERRO, On Thacker's scheme for solving the linearized shallow water equations, Report. Departement de Mathématiques. Ecole Polytechnique Fédérale de Lausanne, 1985.Google Scholar
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    M. LUSKIN, Convergence of a Finite Element Method for the Approximation of Normal Modes of the Oceans, Math. Comp. 33, 1979, 493–519.MathSciNetCrossRefzbMATHGoogle Scholar
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    J. DESLOUX, M. LUSKIN, J. RAPPAZ, Approximation of the Spectrum of Closed Operators: The Determination of Normal Modes of a Rotating Basin, Math. Comp. 36, 1981, 137–154.MathSciNetCrossRefzbMATHGoogle Scholar
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    Ph. CLEMENT, Approximation by Finite Element Functions using Local Regularizations, RAIRO 9, 1975, 77–84.MathSciNetzbMATHGoogle Scholar

Copyright information

© Equadiff 6 and Springer-Verlag 1986

Authors and Affiliations

  • J. Descloux
    • 1
  • R. Ferro
    • 1
  1. 1.Department of MathematicsEPFLLausanneSwitzerland

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