Convergence of substructuring methods for the Cahn-Hilliard equation
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Publication:2700240
DOI10.1016/j.cnsns.2023.107175OpenAlexW4321350014MaRDI QIDQ2700240
Gobinda Garai, Bankim C. Mandal
Publication date: 20 April 2023
Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2112.01699
convergence analysisdomain decompositioniterative methodCahn-Hilliard equationparallel computingDirichlet-NeumannNeumann-Neumann
Parallel numerical computation (65Y05) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55)
Related Items
Convergence of linear and nonlinear Neumann-Neumann method for the Cahn-Hilliard equation, Linear and nonlinear Dirichlet–Neumann methods in multiple subdomains for the Cahn–Hilliard equation
Cites Work
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- On uniform in time \(H^2\)-regularity of the solution for the 2D Cahn-Hilliard equation
- On second order semi-implicit Fourier spectral methods for 2D Cahn-Hilliard equations
- An adaptive multigrid algorithm for simulating solid tumor growth using mixture models
- A conservative numerical method for the Cahn-Hilliard equation in complex domains
- Multiple traces boundary integral formulation for Helmholtz transmission problems
- Convergence analysis of a subdomain iterative method for the finite element approximation of the coupling of Stokes and Darcy equations
- Global existence and asymptotics of solutions of the Cahn-Hilliard equation
- On the Cahn-Hilliard equation
- A generalized diffusion model for growth and dispersal in a population
- A Dirichlet-Neumann type algorithm for contact problems with friction.
- On the scalability of classical one-level domain-decomposition methods
- On the convergence rate of the Dirichlet-Neumann iteration for unsteady thermal fluid-structure interaction
- A local coarse space correction leading to a well-posed continuous Neumann-Neumann method in the presence of cross points
- A Fourier spectral method for fractional-in-space Cahn-Hilliard equation
- An efficient time adaptivity based on chemical potential for surface Cahn-Hilliard equation using finite element approximation
- An energy stable fourth order finite difference scheme for the Cahn-Hilliard equation
- On the unconditionally gradient stable scheme for the Cahn-Hilliard equation and its implementation with Fourier method
- Domain decomposition methods for large linearly elliptic three-dimensional problems
- Electromagnetic scattering at composite objects : a novel multi-trace boundary integral formulation
- Inpainting of Binary Images Using the Cahn–Hilliard Equation
- Numerical Studies of the Cahn-Hilliard Equation for Phase Separation
- Numerical Analysis of a Continuum Model of Phase Transition
- Model Problems in Numerical Stability Theory for Initial Value Problems
- Balancing domain decomposition for problems with large jumps in coefficients
- Iterative Methods for the Solution of Elliptic Problems on Regions Partitioned into Substructures
- Balancing Neumann-Neumann methods for incompressible Stokes equations
- A Continuous Analysis of Neumann--Neumann Methods: Scalability and New Coarse Spaces
- Analysis of the operator splitting scheme for the Cahn‐Hilliard equation with a viscosity term
- Free Energy of a Nonuniform System. I. Interfacial Free Energy
- COMPARISON OF DIFFERENT NUMERICAL SCHEMES FOR THE CAHN-HILLIARD EQUATION
- Error estimates of fully discrete finite element solutions for the 2D Cahn–Hilliard equation with infinite time horizon
- On Nilpotent Subdomain Iterations
- Complex Analysis
- A stable and conservative finite difference scheme for the Cahn-Hilliard equation