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Equadiff 6 pp 295–302Cite as

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

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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

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References

  1. W.C. THACKER, Irregular Grid Finite-Difference Techniques: Simulations of Oscillations in Shallow Circular Basins, Journal of Oceanography, Vol. 7, 1977, 284–292.

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  2. 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.

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  3. G. STRANG, Accurate Partial Difference Methods, Numerische Mathematik, 6, 1964, 37–46.

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  4. 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.

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  5. M. LUSKIN, Convergence of a Finite Element Method for the Approximation of Normal Modes of the Oceans, Math. Comp. 33, 1979, 493–519.

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  6. 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.

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  7. Ph. CLEMENT, Approximation by Finite Element Functions using Local Regularizations, RAIRO 9, 1975, 77–84.

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© 1986 Equadiff 6 and Springer-Verlag

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Descloux, J., Ferro, R. (1986). Analysis of thacker's method for solving the linearized shallow water equations. In: Vosmanský, J., Zlámal, M. (eds) Equadiff 6. Lecture Notes in Mathematics, vol 1192. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0076084

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  • DOI: https://doi.org/10.1007/BFb0076084

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-16469-2

  • Online ISBN: 978-3-540-39807-3

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