Zobrazeno 1 - 10
of 124
pro vyhledávání: '"Danaila, Ionut"'
We study numerical algorithms to solve a specific Partial Differential Equation (PDE), namely the Stefan problem, using Physics Informed Neural Networks (PINNs). This problem describes the heat propagation in a liquid-solid phase change system. It im
Externí odkaz:
http://arxiv.org/abs/2410.14216
The time-dependent Ginzburg-Landau (TDGL) model requires the choice of a gauge for the problem to be mathematically well-posed. In the literature, three gauges are commonly used: the Coulomb gauge, the Lorenz gauge and the temporal gauge. It has been
Externí odkaz:
http://arxiv.org/abs/2408.16086
We present and distribute a parallel finite-element toolbox written in the free software FreeFem for computing the Bogoliubov-de Gennes (BdG) spectrum of stationary solutions to one- and two-component Gross-Pitaevskii (GP) equations, in two or three
Externí odkaz:
http://arxiv.org/abs/2404.00956
Publikováno v:
Journal of Fluid Mechanics, 962, A22, 2023
The Hall-Vinen-Bekharevich-Khalatnikov (HVBK) model is widely used to numerically study quantum turbulence in superfluid helium. Based on the two-fluid model of Tisza and Landau, the HVBK model describes the normal (viscous) and superfluid (inviscid)
Externí odkaz:
http://arxiv.org/abs/2303.06631
We present a finite element toolbox for the computation of Bogoliubov-de Gennes modes used to assess the linear stability of stationary solutions of the Gross-Pitaevskii (GP) equation. Applications concern one (single GP equation) or two-component (a
Externí odkaz:
http://arxiv.org/abs/2303.05350
Publikováno v:
Computer Physics Communications, Elsevier, In press
We present finite-element numerical algorithms for the identification of vortices in quantum fluids described by a macroscopic complex wave function. Their implementation using the free software FreeFem++ is distributed with this paper as a post-proc
Externí odkaz:
http://arxiv.org/abs/2211.07187
Numerical methods for solving the Navier-Stokes equations for classical (or normal) viscous fluids are well established. This is also the case for the Gross-Pitaevskii equation, governing quantum inviscid flows (or superfluids) in the zero temperatur
Externí odkaz:
http://arxiv.org/abs/2211.07361
The purpose of this article is to study the convergence of a low order finite element approximation for a natural convection problem. We prove that the discretization based on P1 polynomials for every variable (velocity, pressure and temperature) is
Externí odkaz:
http://arxiv.org/abs/2207.12732
Publikováno v:
In Computer Physics Communications January 2025 306
