Two element-by-element iterative solutions for shallow water equations (Q2719253)

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scientific article; zbMATH DE number 1608914
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Two element-by-element iterative solutions for shallow water equations
scientific article; zbMATH DE number 1608914

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    21 June 2001
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    St.-Venant shallow water equation
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    generalized Taylor-Galerkin finite element method
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    bore wave propagation
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    discrete maximum principle
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    flux corrected transport technique
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    Bi-CGSTAB
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    GMRES
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    Krylov subspace iterative solver
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    multifrontal direct solver
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    sharp gradient
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    dam-break problem
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    Two element-by-element iterative solutions for shallow water equations (English)
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    The authors use the generalized Taylor-Galerkin finite element method to simulate the bore wave propagation in a two-dimensional domain. As they work with large matrix equations, they address the performance of some solvers and report some numerical results concerning the dam-break problem.
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