Shape transformation on curved surfaces using a phase-field model

Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Partial differential equations of mathematical physics and other areas of application (35Qxx) Parabolic equations and parabolic systems (35Kxx)

Cites Work

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Efficient 3D volume reconstruction from a point cloud using a phase-field method
Convergence of discrete Laplace-Beltrami operators over surfaces
An unconditionally energy-stable second-order time-accurate scheme for the Cahn-Hilliard equation on surfaces
Numerical study of the ternary Cahn-Hilliard fluids by using an efficient modified scalar auxiliary variable approach
Three-dimensional volume reconstruction from multi-slice data using a shape transformation
A structure-preserving, operator splitting scheme for reaction-diffusion equations with detailed balance
Unconditionally energy stable schemes for fluid-based topology optimization
An efficient maximum bound principle preserving p-adaptive operator-splitting method for three-dimensional phase field shape transformation model
Shape transformation using the modified Allen-Cahn equation
An unconditionally stable second-order accurate method for systems of Cahn-Hilliard equations
Pattern formation in reaction-diffusion systems on evolving surfaces
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A second-order accurate, unconditionally energy stable numerical scheme for binary fluid flows on arbitrarily curved surfaces
Fast, unconditionally energy stable large time stepping method for a new Allen-Cahn type square phase-field crystal model
A second order operator splitting numerical scheme for the ``good Boussinesq equation
Discrete Laplace-Beltrami operators and their convergence
An unconditionally stable hybrid method for image segmentation
Explicit Hybrid Numerical Method for the Allen-Cahn Type Equations on Curved Surfaces
Convergence Analysis of the Variational Operator Splitting Scheme for a Reaction-Diffusion System with Detailed Balance
A Second-Order Accurate, Operator Splitting Scheme for Reaction-Diffusion Systems in an Energetic Variational Formulation
On the stability of alternating‐direction explicit methods for advection‐diffusion equations
An efficient linear and unconditionally stable numerical scheme for the phase field sintering model
Classification and image processing with a semi‐discrete scheme for fidelity forced Allen–Cahn on graphs

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