An approximate factorization/least squares solution method for a mixed finite element approximation of the Cahn-Hilliard equation

DOI10.1007/BF03167260zbMath0874.65073OpenAlexW1998178242MaRDI QIDQ678012

D. A. Trevas, Edward J. Dean, Roland Glowinski

Publication date: 2 November 1997

Published in: Japan Journal of Industrial and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03167260

zbMATH Keywords

finite elementCahn-Hilliard equationleast squares method

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items

A class of stable and conservative finite difference schemes for the Cahn-Hilliard equation ⋮ A stable FE method for the space-time solution of the Cahn-Hilliard equation ⋮ A conservative difference scheme for the viscous Cahn--Hilliard equation with a nonconstant gradient energy coefficient ⋮ Numerical methods for fully nonlinear elliptic equations of the Monge-Ampère type ⋮ Conservative nonlinear difference scheme for the Cahn-Hilliard equation ⋮ A numerical method based on the boundary integral equation and dual reciprocity methods for one-dimensional Cahn-Hilliard equation ⋮ Numerical solution of the Dirichlet problem for a Pucci equation in dimension two. Application to homogenization ⋮ Conservative nonlinear difference scheme for the Cahn-Hilliard equation. II ⋮ A least-squares/finite element method for the numerical solution of the Navier-Stokes-Cahn-Hilliard system modeling the motion of the contact line ⋮ Numerical approximation for viscous Cahn–Hilliard equation via septic B-spline

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A second order splitting method for the Cahn-Hilliard equation
• On the numerical analysis of the Von Kármán equations: Mixed finite element approximation and continuation techniques
• Existence for the Cahn-Hilliard phase separation model with a nondifferentiable energy
• Infinite-dimensional dynamical systems in mechanics and physics
• Numerical analysis of the Cahn-Hilliard equation with a logarithmic free energy
• Iterative solution of the stream function-vorticity formulation of the Stokes problem, applications to the numerical simulation of incompressible viscous flow
• Continuation-Conjugate Gradient Methods for the Least Squares Solution of Nonlinear Boundary Value Problems
• Numerical Studies of the Cahn-Hilliard Equation for Phase Separation
• Mixed and Hybrid Finite Element Methods
• The Cahn–Hilliard gradient theory for phase separation with non-smooth free energy Part II: Numerical analysis
• Error Estimates with Smooth and Nonsmooth Data for a Finite Element Method for the Cahn-Hilliard Equation
• A Nonconforming Finite-Element Method for the Two-Dimensional Cahn–Hilliard Equation

This page was built for publication: An approximate factorization/least squares solution method for a mixed finite element approximation of the Cahn-Hilliard equation