Maximum Principle Preserving Exponential Time Differencing Schemes for the Nonlocal Allen--Cahn Equation论文
SIAM Journal on Numerical Analysis2019引用: 277
A $C^1$ Virtual Element Method for the Cahn--Hilliard Equation with Polygonal Meshes论文
SIAM Journal on Numerical Analysis2016引用: 245
Linear, first and second-order, unconditionally energy stable numerical schemes for the phase field model of homopolymer blends论文
Journal of Computational Physics2016引用: 467
A second order in time, uniquely solvable, unconditionally stable numerical scheme for Cahn–Hilliard–Navier–Stokes equation论文
Journal of Computational Physics2015引用: 225
Theory of Phase Transitions: Rigorous Results论文
Medical Entomology and Zoology2013引用: 504
An Energy Stable and Convergent Finite-Difference Scheme for the Modified Phase Field Crystal Equation论文
SIAM Journal on Numerical Analysis2011引用: 307
The Cahn-Hilliard Equation with Logarithmic Potentials论文
Milan Journal of Mathematics2011引用: 232
THERMODYNAMICALLY CONSISTENT, FRAME INDIFFERENT DIFFUSE INTERFACE MODELS FOR INCOMPRESSIBLE TWO-PHASE FLOWS WITH DIFFERENT DENSITIES论文
Mathematical Models and Methods in Applied Sciences2011引用: 458
Numerical approximations of Allen-Cahn and Cahn-Hilliard equations论文
Discrete and Continuous Dynamical Systems2010引用: 942
Solving pdes in complex geometries论文
Communications in Mathematical Sciences2009引用: 233
An Energy-Stable and Convergent Finite-Difference Scheme for the Phase Field Crystal Equation论文
SIAM Journal on Numerical Analysis2009引用: 473
Phase-field models in materials science论文
Modelling and Simulation in Materials Science and Engineering2009引用: 1.3K
Stable and efficient finite-difference nonlinear-multigrid schemes for the phase field crystal equation论文
Journal of Computational Physics2009引用: 304
Asymptotic behavior of a Cahn–Hilliard–Navier–Stokes system in 2D论文
Annales de l Institut Henri Poincaré C Analyse Non Linéaire2009引用: 253
A binary level set model and some applications to Mumford-Shah image segmentation论文
IEEE Transactions on Image Processing2006引用: 347
Fully Discrete Finite Element Approximations of the Navier--Stokes--Cahn-Hilliard Diffuse Interface Model for Two-Phase Fluid Flows论文
SIAM Journal on Numerical Analysis2006引用: 250
Sharp interface tracking using the phase-field equation论文
Journal of Computational Physics2006引用: 411
Multimaterial structural topology optimization with a generalized Cahn–Hilliard model of multiphase transition论文
Structural and Multidisciplinary Optimization2006引用: 263
On large time-stepping methods for the Cahn–Hilliard equation论文
Applied Numerical Mathematics2006引用: 231
A phase field approach in the numerical study of the elastic bending energy for vesicle membranes论文
Journal of Computational Physics2004引用: 399
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