Výsledky vyhledávání - "Antonopoulos D"

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On the well-posedness of the Galerkin semidiscretization of the periodic initial-value problem of the Serre equations

Autor: Antonopoulos, D. C., Dougalis, V. A., Mitsotakis, D. E.

We consider the periodic initial-value problem for the Serre equations of water-wave theory and its semidiscrete approximation in the space of smooth periodic polynomial splines. We prove that the semidiscrete problem is well posed, locally in time,

Externí odkaz: http://arxiv.org/abs/2107.04403

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Galerkin finite element methods for the numerical solution of two classical-Boussinesq type systems over variable bottom topography

Autor: Kounadis, G., Antonopoulos, D. C., Dougalis, V. A.

We consider two `Classical' Boussinesq type systems modelling two-way propagation of long surface waves in a finite channel with variable bottom topography. Both systems are derived from the 1-d Serre-Green-Naghdi (SGN) system; one of them is valid f

Externí odkaz: http://arxiv.org/abs/2006.03409

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On the standard Galerkin method with explicit RK4 time stepping for the Shallow Water equations

Autor: Antonopoulos, D. c., Dougalis, V. a., Kounadis, G.

We consider a simple initial-boundary-value problem for the shallow water equations in one space dimension. We discretize the problem in space by the standard Galerkin finite element method on a quasiuniform mesh and in time by the classical 4-stage,

Externí odkaz: http://arxiv.org/abs/1810.11008

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On error estimates for Galerkin finite element methods for the Camassa-Holm equation

Autor: Antonopoulos, D. C., Dougalis, V. A., Mitsotakis, D. E.

We consider the Camassa-Holm (CH) equation, a nonlinear dispersive wave equation that models one-way propagation of long waves of moderately small amplitude. We discretize in space the periodic initial-value problem for CH (written in its original an

Externí odkaz: http://arxiv.org/abs/1805.10744

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Notes on Galerkin-finite element methods for the Shallow Water equations with characteristic boundary conditions

Autor: Antonopoulos, D. C., Dougalis, V. A.

We consider the Shallow Water equations in the supercritical and subcritical cases in one space variable,posed in a finite spatial interval with characteristic boundary conditions at the endpoints, which, as is well known, are transparent,i.e. allow

Externí odkaz: http://arxiv.org/abs/1507.08209

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Notes on error estimates for the standard Galerkin-finite element method for the Shallow Water equations

Autor: Antonopoulos, D. C., Dougalis, V. A.

We consider a simple initial-boundary-value problem for the shallow water equations in one space dimension, and also the analogous problem for a symmetric variant of the system. Assuming smoothness of solutions, we discretize these problems in space

Externí odkaz: http://arxiv.org/abs/1403.5699

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Notes on error estimates for Galerkin approximations of the 'classical' Boussinesq system and related hyperbolic problems

Autor: Antonopoulos, D. C., Dougalis, V. A.

We consider the `classical' Boussinesq system in one space dimension and its symmetric analog. These systems model two-way propagation of nonlinear, dispersive long waves of small amplitude on the surface of an ideal fluid in a uniform horizontal cha

Externí odkaz: http://arxiv.org/abs/1008.4248

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