Fast multilevel solvers for a class of discrete fourth order parabolic problems
From MaRDI portal
Publication:334328
DOI10.1007/s10915-016-0189-6zbMath1410.65386arXiv1511.05917OpenAlexW2282586302MaRDI QIDQ334328
Long Chen, Bin Zheng, Xiaozhe Hu, Luoping Chen, Ricardo H. Nochetto, Jin-Chao Xu
Publication date: 1 November 2016
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1511.05917
Iterative numerical methods for linear systems (65F10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Preconditioners for iterative methods (65F08)
Related Items
A robust solver for a mixed finite element method for the Cahn-Hilliard equation ⋮ A robust solver for a second order mixed finite element method for the Cahn-Hilliard equation
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Efficient numerical solution of discrete multi-component Cahn-Hilliard systems
- Fast solution of Cahn-Hilliard variational inequalities using implicit time discretization and finite elements
- Multigrid methods for the Stokes equations using distributive Gauss-Seidel relaxations based on the least squares commutator
- Convergence analysis of multigrid methods with collective point smoothers for optimal control problems
- Numerical and computational efficiency of solvers for two-phase problems
- Preconditioning a class of fourth order problems by operator splitting
- Error analysis of a mixed finite element method for the Cahn-Hilliard equation
- A finite element method for surface diffusion: the parametric case.
- The Fourier spectral method for the Cahn-Hilliard equation
- Implementation and analysis of multigrid schemes with finite elements for elliptic optimal control problems
- A multigrid method for the Cahn-Hilliard equation with obstacle potential
- Block-implicit multigrid solution of Navier-Stokes equations in primitive variables
- Multi-grid methods for Stokes and Navier-Stokes equations. Transforming smoothers: Algorithms and numerical results
- A second order splitting method for the Cahn-Hilliard equation
- On mixed methods for fourth-order problems
- A fourth-order parabolic equation modeling epitaxial thin film growth
- Conservative multigrid methods for Cahn--Hilliard fluids.
- \(H^ 1\) solutions of a class of fourth order nonlinear equations for image processing.
- Additive block diagonal preconditioning for block two-by-two linear systems of skew-Hamiltonian coefficient matrices
- Multigrid methods for a parameter-dependent problem in primal variables
- The influence of the mass matrix on the dispersive nature of the semi-discrete, second-order wave equation
- Multigrid methods for saddle point systems using constrained smoothers
- Efficient preconditioners for large scale binary Cahn-Hilliard models
- Solving the regularized, strongly anisotropic Cahn-Hilliard equation by an adaptive nonlinear multigrid method
- Local discontinuous Galerkin methods for the Cahn-Hilliard type equations
- Bounds on the spectral and maximum norms of the finite element stiffness, flexibility and mass matrices
- A multigrid finite element solver for the Cahn-Hilliard equation
- A nonconforming finite element method for the Cahn-Hilliard equation
- Navier--Stokes Equations in Rotation Form: A Robust Multigrid Solver for the Velocity Problem
- Fast Solvers for Cahn--Hilliard Inpainting
- A systematic comparison of coupled and distributive smoothing in multigrid for the poroelasticity system
- Fully discrete dynamic mesh discontinuous Galerkin methods for the Cahn-Hilliard equation of phase transition
- Stability and convergence of the spectral Galerkin method for the Cahn-Hilliard equation
- Inpainting of Binary Images Using the Cahn–Hilliard Equation
- The lumped mass finite element method for a parabolic problem
- Numerical Studies of the Cahn-Hilliard Equation for Phase Separation
- Dispersion analysis of finite element semidiscretizations of the two-dimensional wave equation
- Numerical Analysis of a Continuum Model of Phase Transition
- The Cahn–Hilliard gradient theory for phase separation with non-smooth free energy Part I: Mathematical analysis
- 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
- Hermitian and Skew-Hermitian Splitting Methods for Non-Hermitian Positive Definite Linear Systems
- A Preconditioner for Generalized Saddle Point Problems
- Surface Diffusion of Graphs: Variational Formulation, Error Analysis, and Simulation
- A Second-Order Accurate Linearized Difference Scheme for the Two- Dimensional Cahn-Hilliard Equation
- Preconditioned MHSS iteration methods for a class of block two-by-two linear systems with applications to distributed control problems
- Finite Element Approximation of the Cahn--Hilliard Equation with Degenerate Mobility
- Free Energy of a Nonuniform System. I. Interfacial Free Energy
- A posteriori error estimates for finite element approximations of the Cahn-Hilliard equation and the Hele-Shaw flow
- The Mathematical Theory of Finite Element Methods
- A Multigrid Method for a Fourth-Order Diffusion Equation with Application to Image Processing
- A discontinuous Galerkin method for the Cahn-Hilliard equation
- A stable and conservative finite difference scheme for the Cahn-Hilliard equation
