Convergence analysis and error estimates for a second order accurate finite element method for the Cahn–Hilliard–Navier–Stokes system
Published 2017 View Full Article
- Home
- Publications
- Publication Search
- Publication Details
Title
Convergence analysis and error estimates for a second order accurate finite element method for the Cahn–Hilliard–Navier–Stokes system
Authors
Keywords
35K35, 35K55, 65M12, 65M60
Journal
NUMERISCHE MATHEMATIK
Volume 137, Issue 3, Pages 495-534
Publisher
Springer Nature
Online
2017-05-03
DOI
10.1007/s00211-017-0887-5
References
Ask authors/readers for more resources
Related references
Note: Only part of the references are listed.- A stable and linear time discretization for a thermodynamically consistent model for two-phase incompressible flow
- (2016) Harald Garcke et al. APPLIED NUMERICAL MATHEMATICS
- An $H^2$ convergence of a second-order convex-splitting, finite difference scheme for the three-dimensional Cahn–Hilliard equation
- (2016) Jing Guo et al. Communications in Mathematical Sciences
- Efficient, adaptive energy stable schemes for the incompressible Cahn–Hilliard Navier–Stokes phase-field models
- (2016) Ying Chen et al. JOURNAL OF COMPUTATIONAL PHYSICS
- Error analysis of a mixed finite element method for a Cahn–Hilliard–Hele–Shaw system
- (2016) Yuan Liu et al. NUMERISCHE MATHEMATIK
- Stability and convergence of a second-order mixed finite element method for the Cahn–Hilliard equation
- (2015) Amanda E. Diegel et al. IMA JOURNAL OF NUMERICAL ANALYSIS
- A second order in time, uniquely solvable, unconditionally stable numerical scheme for Cahn–Hilliard–Navier–Stokes equation
- (2015) Daozhi Han et al. JOURNAL OF COMPUTATIONAL PHYSICS
- Convergence analysis of a fully discrete finite difference scheme for the Cahn-Hilliard-Hele-Shaw equation
- (2015) Wenbin Chen et al. MATHEMATICS OF COMPUTATION
- Analysis of a Mixed Finite Element Method for a Cahn--Hilliard--Darcy--Stokes System
- (2015) Amanda E. Diegel et al. SIAM JOURNAL ON NUMERICAL ANALYSIS
- Decoupled, Energy Stable Schemes for Phase-Field Models of Two-Phase Incompressible Flows
- (2015) Jie Shen et al. SIAM JOURNAL ON NUMERICAL ANALYSIS
- A numerical method for the quasi-incompressible Cahn–Hilliard–Navier–Stokes equations for variable density flows with a discrete energy law
- (2014) Z. Guo et al. JOURNAL OF COMPUTATIONAL PHYSICS
- A mixed discontinuous Galerkin, convex splitting scheme for a modified Cahn-Hilliard equation and an efficient nonlinear multigrid solver
- (2013) Andreas C. Aristotelous et al. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B
- Two-phase flow with mass density contrast: Stable schemes for a thermodynamic consistent and frame-indifferent diffuse-interface model
- (2013) G. Grün et al. JOURNAL OF COMPUTATIONAL PHYSICS
- On Convergent Schemes for Diffuse Interface Models for Two-Phase Flow of Incompressible Fluids with General Mass Densities
- (2013) G. Grün SIAM JOURNAL ON NUMERICAL ANALYSIS
- Well-posedness of the Hele–Shaw–Cahn–Hilliard system
- (2012) Xiaoming Wang et al. ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE
- An adaptive finite element Moreau–Yosida-based solver for a coupled Cahn–Hilliard/Navier–Stokes system
- (2012) M. Hintermüller et al. JOURNAL OF COMPUTATIONAL PHYSICS
- Analysis of a Darcy--Cahn--Hilliard Diffuse Interface Model for the Hele-Shaw Flow and Its Fully Discrete Finite Element Approximation
- (2012) Xiaobing Feng et al. SIAM JOURNAL ON NUMERICAL ANALYSIS
- Energy law preserving C0 finite element schemes for phase field models in two-phase flow computations
- (2011) Jinsong Hua et al. JOURNAL OF COMPUTATIONAL PHYSICS
- THERMODYNAMICALLY CONSISTENT, FRAME INDIFFERENT DIFFUSE INTERFACE MODELS FOR INCOMPRESSIBLE TWO-PHASE FLOWS WITH DIFFERENT DENSITIES
- (2011) HELMUT ABELS et al. MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES
- Numerical approximations of Allen-Cahn and Cahn-Hilliard equations
- (2010) Jie Shen et al. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS
- Numerical computation of advection and diffusion on evolving diffuse interfaces
- (2010) C. M. Elliott et al. IMA JOURNAL OF NUMERICAL ANALYSIS
- Unconditionally Stable Finite Difference, Nonlinear Multigrid Simulation of the Cahn-Hilliard-Hele-Shaw System of Equations
- (2010) S. M. Wise JOURNAL OF SCIENTIFIC COMPUTING
- A Phase-Field Model and Its Numerical Approximation for Two-Phase Incompressible Flows with Different Densities and Viscosities
- (2010) Jie Shen et al. SIAM JOURNAL ON SCIENTIFIC COMPUTING
- Finite element approximation of a Cahn–Hilliard–Navier–Stokes system
- (2009) David Kay et al. INTERFACES AND FREE BOUNDARIES
- On a Diffuse Interface Model for Two-Phase Flows of Viscous, Incompressible Fluids with Matched Densities
- (2008) Helmut Abels ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
Discover Peeref hubs
Discuss science. Find collaborators. Network.
Join a conversationCreate your own webinar
Interested in hosting your own webinar? Check the schedule and propose your idea to the Peeref Content Team.
Create Now