Pathwise uniform convergence of numerical approximations for a two-dimensional stochastic Navier-Stokes equation with no-slip boundary conditions

Autor:	Li, Binjie, Xie, Xiaoping, Zhou, Qin
Rok vydání:	2024
Předmět:	Mathematics - Numerical Analysis 65M15 65C30 60H15 60H35
Druh dokumentu:	Working Paper
Popis:	This paper investigates the pathwise uniform convergence in probability of fully discrete finite-element approximations for the two-dimensional stochastic Navier-Stokes equations with multiplicative noise, subject to no-slip boundary conditions. Assuming Lipschitz-continuous diffusion coefficients and under mild conditions on the initial data, we establish that the full discretization achieves linear convergence in space and nearly half-order convergence in time.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2412.04231 Zobrazit plný text záznamu View this record from Arxiv