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- Centre National de la Recherche ScientifiqueFR3 papers
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5 papers · 1 filter
Numerical Complete Solution for Random Genetic Drift by Energetic Variational Approach
Chenghua Duan, Chun Liu, Cheng Wang +1
In this paper, we focus on numerical solutions for random genetic drift problem, which is governed by a degenerated convection-dominated parabolic equation. Due to the fixation phe…
Sovability of the mixed Formulation for Darcy-Forchheimer Flow in Porous Media
Peter Knabner, Gerhard Summ
We consider the mixed formulation of the equations governing Darcy-Forchheimer flow in porous media. We prove existence and uniqueness of a solution for the stationary problem and…
Applications of Wavelet Bases to The Numerical Solutions of Fractional PDEs
Zhijiang Zhang, Weihua Deng
For describing the probability distribution of the positions and times of particles performing anomalous motion, fractional PDEs are derived from the continuous time random walk mo…
A posteriori error estimates for discontinuous Galerkin methods using non-polynomial basis functions. Part I: Second order linear PDE
Lin Lin, Benjamin Stamm
We present the first systematic work for deriving a posteriori error estimates for general non-polynomial basis functions in an interior penalty discontinuous Galerkin (DG) formula…
Stability of a finite volume scheme for the incompressible fluids
Sebastien Zimmermann
We introduce a finite volume scheme for the two-dimensional incompressible Navier-Stokes equations. We use a triangular mesh. The unknowns for the velocity and pressure are respect…