# [PDF] Top 20 Asymptotic-preserving method for the vorticity equation

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### Asymptotic-preserving method for the vorticity equation

... an **Asymptotic**-**Preserving** **method** to solve numerically **the** two-dimensional **vorticity**-Poisson (Navier-Stokes) ...system. **The** main focus is **the** validation of **the** numer- ... Voir le document complet

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### A new deviational Asymptotic Preserving Monte Carlo method for the homogeneous Boltzmann equation

... new **Asymptotic** **Preserving** Monte Carlo **method** which solves **the** Boltzmann **equation** of gas ...address **the** complexity of **the** underlying kinetic **equation**, to reduce ... Voir le document complet

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### A HYBRID METHOD FOR ANISOTROPIC ELLIPTIC PROBLEMS BASED ON THE COUPLING OF AN ASYMPTOTIC-PRESERVING METHOD WITH THE ASYMPTOTIC LIMIT MODEL

... numerical **method** to solve efficiently a class of highly anisotropic elliptic ...problems. **The** anisotropy is aligned with one coordinate- axis and its strength is described by a parameter ε ∈ (0, 1], which ... Voir le document complet

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### Asymptotic preserving schemes for the FitzHugh-Nagumo transport equation with strong local interactions

... in **the** present article and seek after a numerical **method** that is able to capture these expected **asymptotic** properties, even when numerical discretization parameters are kept independent of ε hence ... Voir le document complet

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### A structure-preserving Partitioned Finite Element Method for the 2D wave equation

... Grenoble Alpes, LCIS, F-26902, Valence, France e-mail: laurent.lefevre@lcis.grenoble-inp.fr Abstract: Discretizing open systems of conservation laws while preserving the power-balance at[r] ... Voir le document complet

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### Design of asymptotic preserving schemes for the hyperbolic heat equation on unstructured meshes

... L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d’enseignemen[r] ... Voir le document complet

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### Asymptotic-preserving well-balanced scheme for the electronic M1 model in the diffusive limit: particular cases.

... alternative **method** situated between kinetic and fluid ...Originally, **the** moment closure hierarchy introduced by Grad [39] leads to hyperbolic set of equations **for** flows close to equilibrium but may ... Voir le document complet

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### An asymptotic preserving scheme based on a new formulation for NLS in the semiclassical limit

... describe **the** limit ε → 0 **for** (1.1). **The** toolbox **for** studying semi- classical Schrödinger equations contains a variety of methods, depending on **the** quantities we are interested ...of ... Voir le document complet

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### ASYMPTOTIC-PRESERVING SCHEME FOR THE FOKKER-PLANCK-LANDAU-MAXWELL SYSTEM IN THE QUASI-NEUTRAL REGIME.

... an **Asymptotic**-**Preserving** scheme **for** **the** full Fokker-Planck- Landau-Maxwell system which handles **the** quasi-neutral limit without any contraction of time and space ...with **the** real ... Voir le document complet

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### An Asymptotic-Preserving all-speed scheme for the Euler and Navier-Stokes equations

... on **the** pressure ...to **the** compressible case. **The** pressure- correction **method** SIMPLE [27, 47] solves an elliptic pressure correction **equation** obtained via **the** mass conservation ... Voir le document complet

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### Asymptotic preserving schemes on conical unstructured 2D meshes

... that **the** P1 system is not positive at continuous level, contrary to **the** diffusion ...of **the** scheme in this case. We also obtain a second order convergence **for** both polygonal/conical schemes ... Voir le document complet

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### Singular asymptotic expansion of the exact control for the perturbed wave equation

... , **the** **asymptotic** analysis of solutions of singular systems like (1) can be performed using **the** matched **asymptotic** **method** [13, ...on **the** data (y0, y1) and on **the** function v ... Voir le document complet

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### Asymptotic preserving and time diminishing schemes for rarefied gas dynamic

... numerical **method** **for** **the** BGK **equation** which enjoys **the** following properties: (i) its statistical noise is smaller than **the** one of standard Monte Carlo methods; (ii) it is ... Voir le document complet

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### Asymptotic-preserving well-balanced scheme for the electronic M1 model in the diffusive limit: Particular cases

... because **the** veloc- ity modulus (denoted ζ in this work) is kept as a ...variable. **The** integration of **the** kinetic **equation** to obtain such models is performed only in angle (integration on ... Voir le document complet

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### Asymptotic stability in the energy space for dark solitons of the Gross-Pitaevskii equation

... Their **method** differs in many respects with **the** ones above and relies on a combination of variational and dynamical arguments in **the** form of localized monotonicity ...by **the** possibility to ... Voir le document complet

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### An asymptotic preserving scheme on staggered grids for the barotropic Euler system in low Mach regimes

... scheme **for** **the** simulation of **the** barotropic Euler **equation** in low Mach ...regimes. **The** **method** uses two main ingredients. First, **the** system is treated with a suitable time ... Voir le document complet

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### A central-upwind geometry-preserving method for hyperbolic conservation laws on the sphere

... Burgers **equation** provides a simple, yet challenging **equation**, which admits discontinuous solutions and it provides a simplified setup **for** **the** design and validation of shock-capturing numerical ... Voir le document complet

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### Asymptotic high order mass-preserving schemes for a hyperbolic model of chemotaxis

... and **the** final scheme is really third order in our numerical ...that **the** computational costs of all these schemes do not increase with respect of **the** standard ...to **the** well-balanced ... Voir le document complet

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### Asymptotic behavior of Nernst-Planck equation

... methods, **the** study of **the** large time asymptotics of **the** Poisson-Nernst-Planck system involves various tools of nonlinear ...teresting **for** studies of Poisson-Nernst-Planck systems by methods of ... Voir le document complet

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### ASYMPTOTIC-PRESERVING WELL-BALANCED SCHEME FOR THE ELECTRONIC M 1 MODEL IN THE DIFFUSIVE LIMIT: PARTICULAR CASES.

... of **the** angular moments, lead to a very complexe diffusion **equation** in **the** **asymptotic** limit with mixed ...paper, **the** case without electric field and **the** homogeneous case are ... Voir le document complet

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