Zobrazeno 1 - 10
of 17 553
pro vyhledávání: '"finite volume scheme"'
In this paper we design, analyze and simulate a finite volume scheme for a cross-diffusion system which models chemotaxis with local sensing. This system has the same gradient flow structure as the celebrated minimal Keller-Segel system, but unlike t
Externí odkaz:
http://arxiv.org/abs/2412.13143
We study the convergence of a novel family of thermodynamically compatible schemes for hyperbolic systems (HTC schemes) in the framework of dissipative weak solutions, applied to the Euler equations of compressible gas dynamics. Two key novelties of
Externí odkaz:
http://arxiv.org/abs/2412.15730
Autor:
Tremblin, Pascal, Bourgeois, Rémi, Bulteau, Solène, Kokh, Samuel, Padioleau, Thomas, Delorme, Maxime, Strugarek, Antoine, González, Matthias, Brun, Allan Sacha
We present a new multi-dimensional, robust, and cell-centered finite-volume scheme for the ideal MHD equations. This scheme relies on relaxation and splitting techniques and can be easily used at high order. A fully conservative version is not entrop
Externí odkaz:
http://arxiv.org/abs/2409.14992
We present a Finite Volume formulation for determining discontinuous distributions of magnetic fields within non-orthogonal and non-uniform meshes. The numerical approach is based on the discretization of the vector potential variant of the equations
Externí odkaz:
http://arxiv.org/abs/2408.06280
We consider a finite volume scheme with two-point flux approximation (TPFA) to approximate a Laplace problem when the solution exhibits no more regularity than belonging to $H^1_0(\Omega)$. We establish in this case some error bounds for both the sol
Externí odkaz:
http://arxiv.org/abs/2405.16985
Autor:
Sylla, Abraham
We build a finite volume scheme for the scalar conservation law $\partial_t u + \partial_x (H(x, u)) = 0$ with bounded initial condition for a wide class of flux function $H$, convex with respect to the second variable. The main idea for the construc
Externí odkaz:
http://arxiv.org/abs/2405.02203
Autor:
Mignone, Andrea, Berta, Vittoria, Rossazza, Marco, Bugli, Matteo, Mattia, Giancarlo, Del Zanna, Luca, Pareschi, Lorenzo
We present a finite-volume, genuinely 4th-order accurate numerical method for solving the equations of resistive relativistic magnetohydrodynamics (Res-RMHD) in Cartesian coordinates. In our formulation, the magnetic field is evolved in time in terms
Externí odkaz:
http://arxiv.org/abs/2407.08519
The aim of this contribution is to address the convergence study of a time and space approximation scheme for an Allen-Cahn problem with constraint and perturbed by a multiplicative noise of It\^o type. The problem is set in a bounded domain of $\mat
Externí odkaz:
http://arxiv.org/abs/2407.04399
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