Search Results

• An Efficient and Unconditionally Energy Stable Scheme for Simulating Solid-State Dewetting of Thin Films with Isotropic Surface Energy

  Qiong-Ao Huang, Wei Jiang, Jerry Zhijian Yang

  2019-08-27

  49022 3585 Pages:1444-1470

• Efficient, Accurate and Energy Stable Discontinuous Galerkin Methods for Phase Field Models of Two-Phase Incompressible Flows

  Ruihan Guo, Yan Xu

  2019-07-02

  49555 3194 Pages:1224-1248

• A High Order Adaptive Time-Stepping Strategy and Local Discontinuous Galerkin Method for the Modified Phase Field Crystal Equation

  Ruihan Guo, Yan Xu

  2018-09-17

  67899 5549 Pages:123-151

• A Second-Order Length-Preserving and Unconditionally Energy Stable Rotational Discrete Gradient Method for Oseen-Frank Gradient Flows

  Jie Xu, Xiaotian Yang, Zhiguo Yang

  2024-03-13

  26533 2290 Pages:369-394

• Modelling of Compressible Multi-Component Two-Phase Flow with Multi-Component Navier Boundary Condition

  Junkai Wang, Qiaolin He

  2024-10-29

  17624 1223 Pages:1053-1089

• An Exponential-Free Runge–Kutta Framework for Developing Third-Order Unconditionally Energy Stable Schemes for the Cahn–Hilliard Equation

  Haifeng Wang, Jingwei Sun, Hong Zhang, Xu Qian, Songhe Song

  2026-04-10

  151 34 Pages:199-238

• An Adaptive Time-Stepping Strategy for the Cahn-Hilliard Equation

  Zhengru Zhang, Zhonghua Qiao

  2020-07-31

  41801 4352 Pages:1261-1278

• An Unconditionally Energy-Stable and Orthonormality-Preserving Scheme for the Kohn-Sham Gradient Flow Based Model Based on a Tetrahedral Spectral Element Method

  Hongfei Zhan, Ting Wang, Guanghui Hu

  2025-04-27

  9427 588 Pages:921-941

• Numerical Approximations of Phase Field Models Using a General Class of Linear Time-Integration Schemes

  Lizhen Chen, Zengyan Zhang, Jia Zhao

  2021-10-26

  46767 3344 Pages:1290-1322

• Fully Decoupled, Linear and Unconditionally Energy Stable Schemes for the Binary Fluid-Surfactant Model

  Yuzhe Qin, Zhen Xu, Hui Zhang, Zhengru Zhang

  2020-08-27

  50339 3350 Pages:1389-1414

• Semi-Implicit Spectral Deferred Correction Method Based on the Invariant Energy Quadratization Approach for Phase Field Problems

  Ruihan Guo, Yan Xu

  2019-02-25

  50365 5375 Pages:87-113

• A Novel Second-Order Scheme for the Molecular Beam Epitaxy Model with Slope Selection

  Lizhen Chen, Jia Zhao, Yuezheng Gong

  2018-12-08

  49134 3717 Pages:1024-1044

• An Efficient, Energy Stable Scheme for the Cahn-Hilliard-Brinkman System

  Craig Collins, Jie Shen, Steven M. Wise

  2013-08-05

  44115 4296 Pages:929-957

• Linear and Unconditionally Energy Stable Schemes for the Multi-Component Two-Phase Diffuse Interface Model with Peng-Robinson Equation of State

  Chenfei Zhang, Hongwei Li, Xiaoping Zhang, Lili Ju

  2019-07-02

  46174 3346 Pages:1071-1097

• On Linear and Unconditionally Energy Stable Algorithms for Variable Mobility Cahn-Hilliard Type Equation with Logarithmic Flory-Huggins Potential

  Xiaofeng Yang, Jia Zhao

  2018-11-09

  50254 3549 Pages:703-728

• A Decoupled Energy Stable Adaptive Finite Element Method for Cahn–Hilliard–Navier–Stokes Equations

  Yaoyao Chen, Yunqing Huang, Nianyu Yi

  2021-02-25

  48019 3480 Pages:1186-1212

• New Energy-Conserved Identities and Super-Convergence of the Symmetric EC-S-FDTD Scheme for Maxwell's Equations in 2D

  Liping Gao, Dong Liang

  2012-11-01

  39317 4238 Pages:1673-1696

• A Stable Arbitrarily High Order Time-Stepping Method for Thermal Phase Change Problems

  Weiwen Wang, Chuanju Xu

  2023-03-13

  40521 3355 Pages:477-510

• Efficient and Stable Schemes for the Magnetohydrodynamic Potential Model

  Guo-Dong Zhang, Xiaofeng Yang

  2021-07-01

  48536 3329 Pages:771-798

• Stabilized Predictor-Corrector Schemes for Gradient Flows with Strong Anisotropic Free Energy

  Jie Shen, Jie Xu

  2018-09-17

  48240 4846 Pages:635-654 Open-access

• An Efficient Finite Element Method with Exponential Mesh Refinement for the Solution of the Allen-Cahn Equation in Non-Convex Polygons

  Emine Celiker, Ping Lin

  2020-08-27

  47831 3014 Pages:1536-1560

• Pressure-Correction Projection FEM for Time-Dependent Natural Convection Problem

  Jilian Wu, Xinlong Feng, Fei Liu

  2018-04-09

  43529 3217 Pages:1090-1117

• Numerical Approximations for Allen-Cahn Type Phase Field Model of Two-Phase Incompressible Fluids with Moving Contact Lines

  Lina Ma, Rui Chen, Xiaofeng Yang, Hui Zhang

  2018-04-09

  41300 3145 Pages:867-889

• New Unconditionally Stable Schemes for the Navier-Stokes Equations

  Hui Yao, Mejdi Azaiez, Chuanju Xu

  2021-08-10

  49160 3151 Pages:1083-1117

• A Time-Splitting Spectral Method for Three-Wave Interactions in Media with Competing Quadratic and Cubic Nonlinearities

  Weizhu Bao, Chunxiong Zheng

  2007-02-01

  38354 4521 Pages:123-140

• Splitting Finite Difference Methods on Staggered Grids for the Three-Dimensional Time-Dependent Maxwell Equations

  Liping Gao, Bo Zhang, Dong Liang

  2018-03-24

  37558 3687 Pages:405-432