A new triangular finite element with optimum constraint ratio for compressible fluids (Q2719268)

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scientific article; zbMATH DE number 1608928
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A new triangular finite element with optimum constraint ratio for compressible fluids
scientific article; zbMATH DE number 1608928

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    21 June 2001
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    triangular finite element pair
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    slow Rossby waves
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    linear shallow-water equations
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    fast gravity waves
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    A new triangular finite element with optimum constraint ratio for compressible fluids (English)
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    From author's abstract: The discretization of shallow-water equations using the finite element method is a delicate problem. Apart from the possible occurrence of pressure and/or velocity modes, other spurious modes may appear due to the discretization of continuity equation. In this paper a new triangular finite element pair is proposed which overcomes this imbalance problem. The new pair is shown to improve on results obtained with existing pairs in representing the propagation of fast gravity and slow Rossby waves by discretizing the linear shallow-water equations.
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