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A model of selective filters based on anisotropic nonlinear diffusion is proposed for image enhancement. In this model the processed image can be obtained on the asymptotic states of its solution. The diffusion tensor is chosen to change... more
A model of selective filters based on anisotropic nonlinear diffusion is proposed for image enhancement. In this model the processed image can be obtained on the asymptotic states of its solution. The diffusion tensor is chosen to change dynamically in such a way as to process the image without affecting its interesting features. The proposed anisotropic diffusion can be classed as a nonstandard Volterra equation. Experimental results are shown on test and medical images, which illustrate the ability of our model to detect fine objects in a noisy image
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Particle methods are now commonly used in the numerical simulation of problems arising in Plasma Physics. They consist in replacing the plasma by a “large” set of charged superparticles which obey the usual Physics laws and then in... more
Particle methods are now commonly used in the numerical simulation of problems arising in Plasma Physics. They consist in replacing the plasma by a “large” set of charged superparticles which obey the usual Physics laws and then in computing the interactions of these superparticles. For a detailed description of the particle methodology in Plasma Physics, we refer to Hockney and Eastvood [11].
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Abstract. Convergence of the grid-free point vortex method is proved for three-dimensional Euler equations with smooth solutions. Two new techniques are used to obtain consistency and stability of the method. The first one is... more
Abstract. Convergence of the grid-free point vortex method is proved for three-dimensional Euler equations with smooth solutions. Two new techniques are used to obtain consistency and stability of the method. The first one is Strang's trick [Numer. Math., 6 (1964), pp. 37-46] which ...
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ABSTRACT
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The present particle-grid superposition method for solving the Navier-Stokes equations proceeds from a deterministic vortex method and then superposes a finite-difference method to accommodate large particle-distribution distortions. The... more
The present particle-grid superposition method for solving the Navier-Stokes equations proceeds from a deterministic vortex method and then superposes a finite-difference method to accommodate large particle-distribution distortions. The procedure for matching these methods leads in due course to a domain-decomposition strategy, thereby facilitating the simulation of high Re number viscous flows with a limited number of points; this is illustrated
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Abstract We present a novel multiresolution Vortex-In-Cell algorithm using patches of varying resolution. The Poisson equation relating the fluid vorticity and velocity is solved using Fast Fourier Transforms subject to free space... more
Abstract We present a novel multiresolution Vortex-In-Cell algorithm using patches of varying resolution. The Poisson equation relating the fluid vorticity and velocity is solved using Fast Fourier Transforms subject to free space boundary conditions. Solid ...
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Research Interests: Applied Mathematics, Mathematical Physics, Large Eddy Simulation, Numerical Simulation, Model Selection, and 8 moreMathematical Analysis, Turbulent Flow, PARTIAL DIFFERENTIAL EQUATION, Numerical Analysis and Computational Mathematics, Turbulence Model, Point of View, Incompressible Flow, and Asymptotic Behavior
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We propose a level set formulation of the immersed boundary method for fluid–structure problems in two and three dimensions. We prove that the resulting model verifies an energy estimate. To cite this article: G.-H. Cottet, E. Maitre, C.... more
We propose a level set formulation of the immersed boundary method for fluid–structure problems in two and three dimensions. We prove that the resulting model verifies an energy estimate. To cite this article: G.-H. Cottet, E. Maitre, C. R. Acad. Sci. Paris, Ser. I 338 (2004).