Convergent finite element based discretization of a stochastic two‐phase flow model
DOI10.1002/zamm.202000308OpenAlexW3201613892MaRDI QIDQ6151827
No author found.
Publication date: 11 March 2024
Published in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/zamm.202000308
PDEs in connection with fluid mechanics (35Q35) Finite difference methods applied to problems in fluid mechanics (76M20) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) Liquid-liquid two component flows (76T06)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Two-phase flow with mass density contrast: stable schemes for a thermodynamic consistent and frame-indifferent diffuse-interface model
- Martingale and pathwise solutions to the stochastic Zakharov-Kuznetsov equation with multiplicative noise
- A semi-discrete scheme for the stochastic Landau-Lifshitz equation
- Splitting up method for the 2D stochastic Navier-Stokes equations
- Error analysis of a mixed finite element method for a Cahn-Hilliard-Hele-Shaw system
- Stochastic nonlinear wave equations in local Sobolev spaces
- Efficient, adaptive energy stable schemes for the incompressible Cahn-Hilliard Navier-Stokes phase-field models
- Sobolev, Besov and Nikolskii fractional spaces: Imbeddings and comparisons for vector valued spaces on an interval
- Finite element approximation of a Cahn-Hilliard-Navier-Stokes system
- Longtime behavior for a model of homogeneous incompressible two-phase flows
- Finite element approximation of the Navier-Stokes equations. Rev. repr. of the 1st ed
- Higher-order implicit strong numerical schemes for stochastic differential equations
- Infinite-dimensional dynamical systems in mechanics and physics.
- Conservative multigrid methods for Cahn--Hilliard fluids.
- A semi-discrete scheme for the stochastic nonlinear Schrödinger equation
- On the convergence of a stochastic 3D globally modified two-phase flow model
- Numerical simulation of the stochastic Korteweg-de Vries equation
- A phase field model for the mixture of two incompressible fluids and its approximation by a Fourier-spectral method
- Martingale and stationary solutions for stochastic Navier-Stokes equations
- Weak convergence and empirical processes. With applications to statistics
- Strong convergence rate of finite difference approximations for stochastic cubic Schrödinger equations
- Time discrete approximation of weak solutions to stochastic equations of geophysical fluid dynamics and applications
- Grade-two fluids on non-smooth domain driven by multiplicative noise: existence, uniqueness and regularity
- Local martingale solutions to the stochastic one layer shallow water equations
- Convergence of a semi-discrete scheme for the stochastic Korteweg-de Vries equation
- Equations stochastiques du type Navier-Stokes
- Convergence analysis of a fully discrete finite difference scheme for the Cahn-Hilliard-Hele-Shaw equation
- Finite-element-based discretizations of the incompressible Navier-Stokes equations with multiplicative random forcing
- Analysis of a Darcy--Cahn--Hilliard Diffuse Interface Model for the Hele-Shaw Flow and Its Fully Discrete Finite Element Approximation
- Decoupled, Energy Stable Schemes for Phase-Field Models of Two-Phase Incompressible Flows
- Numerical computation of advection and diffusion on evolving diffuse interfaces
- A Phase-Field Model and Its Numerical Approximation for Two-Phase Incompressible Flows with Different Densities and Viscosities
- Analysis of finite element approximations of a phase field model for two-phase fluids
- Fully Discrete Finite Element Approximations of the Navier--Stokes--Cahn-Hilliard Diffuse Interface Model for Two-Phase Fluid Flows
- Efficient Numerical Solution of Cahn–Hilliard–Navier–Stokes Fluids in 2D
- Finite Element Approximation of the Nonstationary Navier–Stokes Problem. I. Regularity of Solutions and Second-Order Error Estimates for Spatial Discretization
- Mixed and Hybrid Finite Element Methods
- Rates of Convergence for Discretizations of the Stochastic Incompressible Navier--Stokes Equations
- Galerkin Approximations for the Stochastic Burgers Equation
- Existence of a solution to the stochastic nonlocal Cahn–Hilliard Navier–Stokes model via a splitting-up method
- Stochastic Equations in Infinite Dimensions
- On Convergent Schemes for Diffuse Interface Models for Two-Phase Flow of Incompressible Fluids with General Mass Densities
- A convergent finite-element-based discretization of the stochastic Landau-Lifshitz-Gilbert equation
- Stochastic differential equations. An introduction with applications.
This page was built for publication: Convergent finite element based discretization of a stochastic two‐phase flow model