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Efficient Energy-Stable Parametric Finite Element Methods for Surface Diffusion Flow and Applications in Solid-State Dewetting
Meng Li, Yihang Guo, Jingjiang Bi
2025-08-23
DOI:10.4208/cicp.OA-2024-0157
6444
481
pp. 729-765
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
DOI:10.4208/cicp.2019.js60.07
49024
3585
pp. 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
DOI:10.4208/cicp.OA-2018-0100
49556
3195
pp. 1224-1248
An Energy Stable BDF2 Fourier Pseudo-Spectral Numerical Scheme for the Square Phase Field Crystal Equation
Kelong Cheng, Cheng Wang, Steven M. Wise
2019-08-27
DOI:10.4208/cicp.2019.js60.10
50877
3663
pp. 1335-1364
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
DOI:10.4208/cicp.OA-2023-0191
26533
2290
pp. 369-394
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
DOI:10.4208/cicp.OA-2017-0074
67902
5550
pp. 123-151
Thermodynamically Consistent Modeling and Energy Stable Numerical Simulation of Multicomponent Compressible Flow in Poroelastic Media
Jisheng Kou, Amgad Salama, Huangxin Chen, Shuyu Sun
2026-01-03
DOI:10.4208/cicp.OA-2023-0254
2071
176
pp. 815-854
A Third Order BDF Energy Stable Linear Scheme for the No-Slope-Selection Thin Film Model
Yonghong Hao, Qiumei Huang, Cheng Wang
2021-01-13
DOI:10.4208/cicp.OA-2020-0074
47424
3536
pp. 905-929
A Second-Order Energy Stable BDF Numerical Scheme for the Cahn-Hilliard Equation
Yue Yan, Wenbin Chen, Cheng Wang, Steven M. Wise
2018-08-21
DOI:10.4208/cicp.OA-2016-0197
51837
3369
pp. 572-602
Modelling of Compressible Multi-Component Two-Phase Flow with Multi-Component Navier Boundary Condition
Junkai Wang, Qiaolin He
2024-10-29
DOI:10.4208/cicp.OA-2024-0313
17624
1223
pp. 1053-1089
Minimum Energy Conformations of Self-Interacting Polymer Chains via Multipopulation Genetic Algorithms (MpGA)
Luis Olivares-Quiroz, Marcos A. González-Olvera
2018-09-17
DOI:10.4208/cicp.OA-2017-0217
47013
3244
pp. 810-829
A Class of Second-Order Energy-Stable Schemes for the Cahn-Hilliard Equation and Their Linear Iteration Algorithm
Xiaohan Zhu, Yuezheng Gong, Yushun Wang
2025-09-05
DOI:10.4208/cicp.OA-2024-0016
3747
360
pp. 1210-1236
Energy-Stable Parametric Finite Element Methods for the Generalized Willmore Flow with Axisymmetric Geometry: Closed Surfaces
Meng Li, Yifei Li
2025-08-08
DOI:10.4208/cicp.OA-2024-0268
4608
497
pp. 575-602
Kinetic Energy Preserving and Entropy Stable Finite Volume Schemes for Compressible Euler and Navier-Stokes Equations
Praveen Chandrashekar
2013-11-05
DOI:10.4208/cicp.170712.010313a
40487
4478
pp. 1252-1286
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
DOI:10.4208/cicp.OA-2024-0283
167
41
pp. 199-238
Numerical Approximations of Phase Field Models Using a General Class of Linear Time-Integration Schemes
Lizhen Chen, Zengyan Zhang, Jia Zhao
2021-10-26
DOI:10.4208/cicp.OA-2020-0244
46767
3345
pp. 1290-1322
An Efficient, Energy Stable Scheme for the Cahn-Hilliard-Brinkman System
Craig Collins, Jie Shen, Steven M. Wise
2013-08-05
DOI:10.4208/cicp.171211.130412a
44115
4296
pp. 929-957
An Adaptive Time-Stepping Strategy for the Cahn-Hilliard Equation
Zhengru Zhang, Zhonghua Qiao
2020-07-31
DOI:10.4208/cicp.300810.140411s
41801
4353
pp. 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
DOI:10.4208/cicp.OA-2024-0053
9430
588
pp. 921-941
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
DOI:10.4208/cicp.OA-2019-0175
50340
3350
pp. 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
DOI:10.4208/cicp.OA-2018-0034
50368
5375
pp. 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
DOI:10.4208/cicp.OA-2018-0015
49134
3718
pp. 1024-1044
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
DOI:10.4208/cicp.OA-2018-0237
46174
3347
pp. 1071-1097
A Decoupled Energy Stable Adaptive Finite Element Method for Cahn–Hilliard–Navier–Stokes Equations
Yaoyao Chen, Yunqing Huang, Nianyu Yi
2021-02-25
DOI:10.4208/cicp.OA-2020-0032
48019
3482
pp. 1186-1212
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
DOI:10.4208/cicp.OA-2017-0259
50256
3549
pp. 703-728
Examining Electrostatic Influences on Base-Flipping: A Comparison of TIP3P and GB Solvent Models
Allyn R. Brice, Brian N. Dominy
2013-01-05
DOI:10.4208/cicp.210711.121011s
40788
4487
pp. 223-237
Stability of Finite Difference Discretizations of Multi-Physics Interface Conditions
Bjoern Sjoegreen, Jeffrey W. Banks
2018-03-27
DOI:10.4208/cicp.280711.070212a
39157
3898
pp. 386-410
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