Keywords
- Mass Conservation
- Shallow Water Equation
- Bounded Open Domain
- Classical Sobolev Space
- Finite Element Function
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References
W.C. THACKER, Irregular Grid Finite-Difference Techniques: Simulations of Oscillations in Shallow Circular Basins, Journal of Oceanography, Vol. 7, 1977, 284–292.
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.
G. STRANG, Accurate Partial Difference Methods, Numerische Mathematik, 6, 1964, 37–46.
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.
M. LUSKIN, Convergence of a Finite Element Method for the Approximation of Normal Modes of the Oceans, Math. Comp. 33, 1979, 493–519.
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.
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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