Zobrazeno 1 - 10
of 179
pro vyhledávání: '"Ehrlacher, Virginie"'
We propose and study a one-dimensional model which consists of two cross-diffusion systems coupled via a moving interface. The motivation stems from the modelling of complex diffusion processes in the context of the vapor deposition of thin films. In
Externí odkaz:
http://arxiv.org/abs/2407.15457
The aim of this article is to introduce a new methodology for constructing morphings between shapes that have identical topology. The morphings are obtained by deforming a reference shape, through the resolution of a sequence of linear elasticity equ
Externí odkaz:
http://arxiv.org/abs/2407.02433
A space-time variational formulation for the many-body electronic Schr{\'o}dinger evolution equation
We prove in this paper that the solution of the time-dependent Schr{\"o}dinger equation can be expressed as the solution of a global space-time quadratic minimization problem that is amenable to Galerkin time-space discretization schemes, using an ap
Externí odkaz:
http://arxiv.org/abs/2405.18094
In this study, we analyze various Iterative Stockholder Analysis (ISA) methods for molecular density partitioning, focusing on the numerical performance of the recently proposed Linear approximation of Iterative Stockholder Analysis model (LISA) [J.
Externí odkaz:
http://arxiv.org/abs/2405.08455
Autor:
Taumhas, Yonah Conjungo, Dusson, Geneviève, Ehrlacher, Virginie, Lelièvre, Tony, Madiot, François
In the aim of reducing the computational cost of the resolution of parameter-dependent eigenvalue problems, a model order reduction (MOR) procedure is proposed. We focus on the case of non-self-adjoint generalized eigenvalue problems, such as the sta
Externí odkaz:
http://arxiv.org/abs/2311.13902
The aim of this article is to propose a new reduced-order modelling approach for parametric eigenvalue problems arising in electronic structure calculations. Namely, we develop nonlinear reduced basis techniques for the approximation of parametric ei
Externí odkaz:
http://arxiv.org/abs/2307.15423
We develop an efficient reduced basis method for the frictional contact problem formulated using Nitsche's method. We focus on the regime of small deformations and on Tresca friction. The key idea ensuring the computational efficiency of the method i
Externí odkaz:
http://arxiv.org/abs/2307.11541
Publikováno v:
Journal of Differential Equations, Volume 350, 25 March 2023, Pages 251-307
We study the boundary stabilization of one-dimensional cross-diffusion systems in a moving domain. We show first exponential stabilization and then finite-time stabilization in arbitrary small-time of the linearized system around uniform equilibria,
Externí odkaz:
http://arxiv.org/abs/2307.06830
We study some properties of a multi-species degenerate Ginzburg-Landau energy and its relation to a cross-diffusion Cahn-Hilliard system. The model is motivated by multicomponent mixtures where crossdiffusion effects between the different species are
Externí odkaz:
http://arxiv.org/abs/2307.05985
Autor:
Taumhas, Yonah Conjungo, Dusson, Geneviève, Ehrlacher, Virginie, Lelièvre, Tony, Madiot, François
In this article, we propose a reduced basis method for parametrized non-symmetric eigenvalue problems arising in the loading pattern optimization of a nuclear core in neutronics. To this end, we derive a posteriori error estimates for the eigenvalue
Externí odkaz:
http://arxiv.org/abs/2307.05978