A dynamic-solver-consistent minimum action method: with an application to 2D Navier-Stokes equations
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Publication:680208
DOI10.1016/j.jcp.2016.11.019zbMath1380.65289OpenAlexW2549426224MaRDI QIDQ680208
Publication date: 22 January 2018
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2016.11.019
Navier-Stokes equations for incompressible viscous fluids (76D05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) PDEs with randomness, stochastic partial differential equations (35R60)
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Cites Work
- Unnamed Item
- Unnamed Item
- Numerical study for the nucleation of one-dimensional stochastic Cahn-Hilliard dynamics
- An adaptive high-order minimum action method
- Quasipotential and exit time for 2D stochastic Navier-Stokes equations driven by space time white noise
- The numerical approximation of stochastic partial differential equations
- Weak convergence of finite element approximations of linear stochastic evolution equations with additive noise
- A spectral numerical method for the Navier-Stokes equations with applications to Taylor-Couette flow
- Strong convergence of the finite element method with truncated noise for semilinear parabolic stochastic equations with additive noise
- Large deviations for the two-dimensional Navier-Stokes equations with multiplicative noise
- Finite element methods for parabolic stochastic PDE's
- Approximation for semilinear stochastic evolution equations
- Large deviations for white-noise driven, nonlinear stochastic PDEs in two and three dimensions
- A minimum action method for small random perturbations of two-dimensional parallel shear flows
- A constrained string method and its numerical analysis
- An overview of projection methods for incompressible flows
- Finding Transition Pathways on Manifolds
- Subcritical bifurcation in spatially extended systems
- The gentlest ascent dynamics
- Weak order for the discretization of the stochastic heat equation
- Efficient Dealiased Convolutions without Padding
- Shrinking Dimer Dynamics and Its Applications to Saddle Point Search
- Secondary instability of wall-bounded shear flows
- The instanton method and its numerical implementation in fluid mechanics
- The geometric minimum action method: A least action principle on the space of curves
- Study of the noise-induced transition and the exploration of the phase space for the Kuramoto–Sivashinsky equation using the minimum action method
- Large fluctuations for a nonlinear heat equation with noise
- Finite-amplitude neutral disturbances in plane Poiseuille flow
- Long Term Effects of Small Random Perturbations on Dynamical Systems: Theoretical and Computational Tools
- Minimum action method for the study of rare events
- Approximation of quasi-potentials and exit problems for multidimensional RDE’s with noise
- Model the nonlinear instability of wall-bounded shear flows as a rare event: a study on two-dimensional Poiseuille flow
- A New Conjugate Gradient Method with Guaranteed Descent and an Efficient Line Search
- A Minimum Action Method with Optimal Linear Time Scaling
- Optimal error estimates of Galerkin finite element methods for stochastic partial differential equations with multiplicative noise
- Projection of diffusions on submanifolds: Application to mean force computation
- Galerkin Finite Element Methods for Stochastic Parabolic Partial Differential Equations
- An Iterative Minimization Formulation for Saddle Point Search
- The numerical solution of the Navier-Stokes equations for an incompressible fluid
- Spectral/hp Element Methods for Computational Fluid Dynamics