Solving the Dirichlet problem for Navier-Stokes equations by probabilistic approach
type: Item
instance of: scholarly article
title: Solving the Dirichlet problem for Navier-Stokes equations by probabilistic approach
zbMATH Open document ID: 1387.35460
author: Grigori N. Milstein
author: M. V. Tretyakov
published in: BIT
publication date: 2012-03-23T00:00:00Z
Mathematics Subject Classification ID: 35Q30
Mathematics Subject Classification ID: 60H30
Mathematics Subject Classification ID: 65M75
Mathematics Subject Classification ID: 76D05
zbMATH DE Number: 6018290
zbMATH Keywords: probabilistic representations of solutions of partial differential equations
zbMATH Keywords: Feynman-Kac formula
zbMATH Keywords: weak approximation of stochastic differential equations
zbMATH Keywords: Helmholtz-Hodge decomposition
zbMATH Keywords: nonlinear Dirichlet boundary value problem
zbMATH Keywords: layer methods
MaRDI profile type: Publication
full work available at URL: s10543-011-0347-z
OpenAlex ID: W2023296200
cites work: An approximation method for Navier-Stokes equations based on probabilistic approach.
cites work: A PROBABILISTIC REPRESENTATION FOR THE VORTICITY OF A THREE-DIMENSIONAL VISCOUS FLUID AND FOR GENERAL SYSTEMS OF PARABOLIC EQUATIONS
cites work: Q4039908
cites work: A mathematical introduction to fluid mechanics
cites work: Incremental unknowns, multilevel methods and the numerical simulation of turbulence
cites work: Finite Element Methods for Navier-Stokes Equations
cites work: Q5576913
cites work: Vorticity and incompressible flow
cites work: The probability approach to numerical solution of nonlinear parabolic equations
cites work: Numerical algorithms for semilinear parabolic equations with small parameter based on approximation of stochastic equations
cites work: Numerical solution of the Dirichlet problem for nonlinear parabolic equations by a probabilistic approach
cites work: The Simplest Random Walks for the Dirichlet Problem
cites work: Q4826106
cites work: Numerical Algorithms for Forward-Backward Stochastic Differential Equations
cites work: Discretization of forward–backward stochastic differential equations and related quasi-linear parabolic equations
cites work: Probabilistic methods for the incompressible Navier-Stokes equations with space periodic conditions
cites work: A random-walk interpretation of the incompressible navier-stokes equations
cites work: Spectral methods for incompressible viscous flow
cites work: On the transport-diffusion algorithm and its applications to the Navier-Stokes equations
cites work: Navier-Stokes equations. Theory and numerical analysis. Repr. with corr
cites work: Q4841248
cites work: Geometric multigrid with applications to computational fluid dynamics
cites work: A semi-Lagrangian high-order method for Navier-Stokes equations
DOI: 10.1007/S10543-011-0347-Z
description: scientific article; zbMATH DE number 6018290