Direct discretization method for the Cahn-Hilliard equation on an evolving surface
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Publication:1632219
DOI10.1007/s10915-018-0742-6zbMath1407.65116OpenAlexW2805868768MaRDI QIDQ1632219
Junseok Kim, Xuelin Qi, Yibao Li
Publication date: 13 December 2018
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10915-018-0742-6
PDEs in connection with fluid mechanics (35Q35) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Iterative numerical methods for linear systems (65F10) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)
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Cites Work
- Unnamed Item
- A conservative numerical method for the Cahn-Hilliard equation with Dirichlet boundary conditions in complex domains
- Obtuse triangle suppression in anisotropic meshes
- Centroidal Voronoi tessellation in universal covering space of manifold surfaces
- An immersed boundary method for simulating a single axisymmetric cell growth and division
- A phase-field approach for minimizing the area of triply periodic surfaces with volume constraint
- A grid based particle method for solving partial differential equations on evolving surfaces and modeling high order geometrical motion
- Provably unconditionally stable, second-order time-accurate, mixed variational methods for phase-field models
- An Eulerian approach to transport and diffusion on evolving implicit surfaces
- Multiphase image segmentation using a phase-field model
- Finite element approximation of the Cahn-Hilliard equation on surfaces
- PDE's on surfaces -- a diffusive interface approach
- On large time-stepping methods for the Cahn-Hilliard equation
- Three-dimensional simulations of the cell growth and cytokinesis using the immersed boundary method
- An Eulerian formulation for solving partial differential equations along a moving interface
- A multiscale approach to curvature modulated sorting in biological membranes
- Three-dimensional multispecies nonlinear tumor growth. I: Model and numerical method
- Transport and diffusion of material quantities on propagating interfaces via level set methods.
- An unconditionally energy-stable second-order time-accurate scheme for the Cahn-Hilliard equation on surfaces
- A phase-field fluid modeling and computation with interfacial profile correction term
- A continuum approach to modelling cell-cell adhesion
- Evolving surface finite element method for the Cahn-Hilliard equation
- A simple and efficient finite difference method for the phase-field crystal equation on curved surfaces
- A compact fourth-order finite difference scheme for the three-dimensional Cahn-Hilliard equation
- Estimating normal vectors and curvatures by centroid weights
- Fourth order partial differential equations on general geometries
- Discrete Conservation Laws on Evolving Surfaces
- Finite elements on evolving surfaces
- Bi-CGSTAB: A Fast and Smoothly Converging Variant of Bi-CG for the Solution of Nonsymmetric Linear Systems
- Phase-Field Models for Multi-Component Fluid Flows
- Effect of confinement on droplet deformation in shear flow
- Free Energy of a Nonuniform System. I. Interfacial Free Energy
- Discrete Conservation Laws on Curved Surfaces
- Variational problems and partial differential equations on implicit surfaces