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We discuss new MUSCL reconstructions to approximate the solutions of hyperbolic systems of conservations laws on 2D unstructured meshes. To address such an issue, we write two MUSCL schemes on two overlapping meshes. A gradient reconstruction procedure is next defined by involving both approximations coming from each MUSCL scheme. This process increases the number of numerical unknowns, but it allows to reconstruct very accurate gradients. Moreover a particular attention is paid on the limitation...
This paper is concerned with the numerical simulation of a thermodynamically compatible
viscoelastic shear-thinning fluid model, particularly well suited to describe the
rheological response of blood, under physiological conditions. Numerical simulations are
performed in two idealized three-dimensional geometries, a stenosis and a curved vessel,
to investigate the combined effects of flow inertia, viscosity and viscoelasticity in
these geometries....
In this note we give a result of convergence when time goes to infinity for a
quasi static linear elastic model, the elastic tensor of which vanishes at
infinity. This method is applied to segmentation of medical images, and improves
the 'elastic deformable template' model introduced previously.
We discuss regularity results concerning local minimizers of variational integrals like
defined on energy classes of solenoidal fields. For the potential we assume a -elliptic growth condition. In the situation without -dependence it is known that minimizers are of class on an open subset of with full measure if (for we have ). In this article we extend this to the case of nonautonomous integrands. Of course our result extends to weak solutions of the corresponding nonlinear...
A new approximation scheme is presented for the mathematical model of convection-diffusion and adsorption. The method is based on the relaxation method and the method of characteristics. We prove the convergence of the method and present some numerical experiments in 1D. The results can be applied to the model of contaminant transport in porous media with multi-site, equilibrium and non-equilibrium type of adsorption.
A new approximation scheme is presented for the mathematical model of
convection-diffusion and adsorption. The method is based on the
relaxation method and the method of characteristics. We prove the
convergence of the method and present some numerical experiments in 1D.
The results can be applied to the model of contaminant transport
in porous media with multi-site, equilibrium and non-equilibrium type of
adsorption.
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