Optimized Schwarz Methods for the Cahn–Hilliard Equation

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Iterative numerical methods for linear systems (65F10) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)

Cites Work

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Towards optimized Schwarz methods for the Navier-Stokes equations
Double sweep preconditioner for optimized Schwarz methods applied to the Helmholtz problem
Analysis and optimization of the generalized Schwarz method for elliptic problems with application to fluid-structure interaction
Error analysis of a mixed finite element method for the Cahn-Hilliard equation
Numerical approximations of Allen-Cahn and Cahn-Hilliard equations
On the scalability of classical one-level domain-decomposition methods
Stabilized linear semi-implicit schemes for the nonlocal Cahn-Hilliard equation
A linear energy stable scheme for a thin film model without slope selection
Optimized Schwarz methods with elliptical domain decompositions
Analysis of parallel Schwarz algorithms for time-harmonic problems using block Toeplitz matrices
Optimized Schwarz methods for the optimal control of systems governed by elliptic partial differential equations
Computationally efficient adaptive time step method for the Cahn-Hilliard equation
On the unconditionally gradient stable scheme for the Cahn-Hilliard equation and its implementation with Fourier method
On linear schemes for a Cahn-Hilliard diffuse interface model
Optimized Schwarz Methods for Model Problems with Continuously Variable Coefficients
A Source Transfer Domain Decomposition Method for Helmholtz Equations in Unbounded Domain
Second-order Convex Splitting Schemes for Gradient Flows with Ehrlich–Schwoebel Type Energy: Application to Thin Film Epitaxy
The Optimized Schwarz Method with a Coarse Grid Correction
Optimized Schwarz Methods for Circular Domain Decompositions with Overlap
Optimized Schwarz methods with nonoverlapping circular domain decomposition
A homographic best approximation problem with application to optimized Schwarz waveform relaxation
An Energy Stable and Convergent Finite-Difference Scheme for the Modified Phase Field Crystal Equation
Sweeping Preconditioner for the Helmholtz Equation: Moving Perfectly Matched Layers
Optimized Schwarz Methods for the Time-Harmonic Maxwell Equations with Damping
Inpainting of Binary Images Using the Cahn–Hilliard Equation
Optimized Schwarz Methods for Maxwell's Equations
An Energy-Stable and Convergent Finite-Difference Scheme for the Phase Field Crystal Equation
Model Problems in Numerical Stability Theory for Initial Value Problems
The optimized order 2 method
Optimized Schwarz methods for the Stokes–Darcy coupling
A Class of Iterative Solvers for the Helmholtz Equation: Factorizations, Sweeping Preconditioners, Source Transfer, Single Layer Potentials, Polarized Traces, and Optimized Schwarz Methods
FACTORIZATION OF THE CONVECTION-DIFFUSION OPERATOR AND THE SCHWARZ ALGORITHM
Domain decomposition preconditioners for high-order discretizations of the heterogeneous Helmholtz equation
Optimized Schwarz Methods for Elliptic Optimal Control Problems
Domain Decomposition with Local Impedance Conditions for the Helmholtz Equation with Absorption
Optimized Schwarz Methods with Robin Transmission Conditions for Parabolic Problems
Free Energy of a Nonuniform System. I. Interfacial Free Energy
Optimized Schwarz Methods for Spherical Interfaces With Application to Fluid-Structure Interaction
COMPARISON OF DIFFERENT NUMERICAL SCHEMES FOR THE CAHN-HILLIARD EQUATION
Asymptotic analysis of optimized Schwarz methods for maxwell’s equations with discontinuous coefficients
Convergence Analysis of an Unconditionally Energy Stable Linear Crank-Nicolson Scheme for the Cahn-Hilliard Equation
Optimized Schwarz Waveform Relaxation Methods for Advection Reaction Diffusion Problems
Optimized Schwarz Methods
Optimized Schwarz Methods with Overlap for the Helmholtz Equation
An optimized Schwarz waveform relaxation method for the unsteady convection diffusion equation in two dimensions

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