Analytical and Rothe time-discretization method for a Boussinesq-type system over an uneven bottom (Q2046002)
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scientific article; zbMATH DE number 7382139
| Language | Label | Description | Also known as |
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| English | Analytical and Rothe time-discretization method for a Boussinesq-type system over an uneven bottom |
scientific article; zbMATH DE number 7382139 |
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Analytical and Rothe time-discretization method for a Boussinesq-type system over an uneven bottom (English)
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16 August 2021
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The authors consider the analytical and numerical resolution of a 2D version of a Boussinesq-type model which occur in the water wave propagation. The time discretization is performed using a finite-difference second-order Crank-Nicholson-type scheme, and then, at each time step, the spatial variables are discretized with an efficient Galerkin/Finite Element Method (FEM) using triangular-finite elements based on 2D piecewise-linear Lagrange interpolation. Some numerical tests are presented to support the theoretical results.
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Boussinesq-type system
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moving bathymetry
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finite element method
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Crank-Nicholson-type scheme
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