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Discrete duality finite volume schemes for Leray-Lions type elliptic problems...
Discrete duality finite volume schemes on general meshes, introduced by Hermeline and Domelevo & Omnès in for the Laplace equation, are proposed for nonlinear... -
A domain-specific embedded language in C++ for lowest-order discretizations o...
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Convergence analysis of a mixed finite volume scheme for an elliptic-paraboli...
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A centered Discontinuous Galerkin Finite Volume scheme for the 3D heterogeneo...
A Discontinuous Galerkin method is applied here to the numerical solution of the time-domain Maxwell's equations on unstructured meshes. The method relies on the... -
A Centered Second-Order Finite Volume Scheme for the Heterogeneous Maxwell Eq...
We prove a sufficient CFL-like condition for the L^2 stability of the second-order accurate finite volume scheme proposed by Remaki for the time-domain solution of... -
A Positive MUSCL Scheme for Triangulations
In this paper, we link together and extend some results that have previously been given about positive schemes in the approximation of compressible flows. We mainly... -
A review of recent advances in discretization methods, a posteriori error ana...
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A posteriori error estimates for the time-dependent convection-diffusion-reac...
We consider the time-dependent convection--diffusion--reaction equation. We derive a posteriori error estimates for the discretization of this equation by the... -
Discrete Duality Finite Volume Method Applied to Linear Elasticity
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Numerical schemes for the hybrid modeling of gas-particle turbulent flows
Hybrid Moments/PDF methods have shown to be well suitable for the description of polydispersed turbulent two-phase flows in non-equilibrium which are encountered in... -
A high-order cell-centered finite volume scheme for simulating three dimensio...
We present a finite volume based cell-centered method for solving diffusion equations on three-dimensional unstructured grids with general tensor conduction. Our main... -
Numerical study of macroscopic pedestrian flow models
We analyze numerically macroscopic models of crowd dynamics: classical Hughes model and the second order model being an extension to pedestrian motion of the... -
Numerical investigation of interaction between shock waves and dusty flows
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Effect of schmidt number on the structure and propagation of density currents
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Inf-Sup Stability of the Discrete Duality Finite Volume method for the 2D Sto...
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A posteriori error estimates, stopping criteria, and adaptivity for multiphas...
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