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Convergence and Quasi-Optimality of an Adaptive Continuous Interior Penalty Finite Element Method
Lingxue Zhu, Zhenhua Zhou
2019-01-11
DOI:10.4208/aamm.OA-2018-0160
43571
3241
pp. 428-451
The Oseen Type Finite Element Iterative Method for the Stationary Incompressible Magnetohydrodynamics
Xiaojing Dong, Yinnian He
2018-05-05
DOI:10.4208/aamm.2015.m934
42382
3067
pp. 775-794
A Stabilized Finite Element Method for Non-Stationary Conduction-Convection Problems
Ke Zhao, Yinnian He, Tong Zhang
2018-08-10
DOI:10.4208/aamm.10-m1042
41643
4397
pp. 239-258
A Type of Cascadic Adaptive Finite Element Method for Eigenvalue Problem
Fei Xu, Qiumei Huang, Shuangshuang Chen, Hongkun Ma
2020-04-10
DOI:10.4208/aamm.OA-2019-0054
45023
3296
pp. 774-796
A Method of Lines Based on Immersed Finite Elements for Parabolic Moving Interface Problems
Tao Lin, Yanping Lin, Xu Zhang
2021-01-13
DOI:10.4208/aamm.13-13S11
42716
4228
pp. 548-568
Time-Space Adaptive Finite Element Method for Nonlinear Schrödinger Equation
Yaoyao Chen, Ying Liu, Hao Wang
2024-12-02
DOI:10.4208/aamm.OA-2023-0071
14418
1215
pp. 207-223
An Immersed Finite Element Method for Elliptic Interface Problems with Multi-Domain and Triple Junction Points
Yuan Chen, Songming Hou, Xu Zhang
2019-06-24
DOI:10.4208/aamm.OA-2018-0175
47533
3314
pp. 1005-1021
An Explicit Superconvergent Weak Galerkin Finite Element Method for the Heat Equation
Fuzheng Gao, Shangyou Zhang
2024-12-31
DOI:10.4208/aamm.OA-2023-0290
13222
1219
pp. 538-553
New Conservative Finite Volume Element Schemes for the Modified Regularized Long Wave Equation
Jinliang Yan, Ming-Chih Lai, Zhilin Li, Zhiyue Zhang
2018-05-05
DOI:10.4208/aamm.2014.m888
41809
3071
pp. 250-271
Two-Level Stabilized Finite Volume Methods for the Stationary Navier-Stokes Equations
Tong Zhang, Shunwei Xu
2018-08-10
DOI:10.4208/aamm.11-m11178
43764
4914
pp. 19-35
Interacting Stress Intensity Factors of Multiple Elliptical-Holes and Cracks Under Far-Field and Arbitrary Surface Stresses
Wei Yi, Qiuhua Rao, Wei Zhu, Qingqing Shen, Zhuo Li, Wenbo Ma
2021-11-18
DOI:10.4208/aamm.OA-2021-0057
50534
4588
pp. 125-154
A Mixed Formulation of Stabilized Nonconforming Finite Element Method for Linear Elasticity
Bei Zhang, Jikun Zhao
2020-03-06
DOI:10.4208/aamm.OA-2019-0048
47384
4962
pp. 278-300
A Mortar Method Using Nonconforming and Mixed Finite Elements for the Coupled Stokes-Darcy Model
Peiqi Huang, Jinru Chen, Mingchao Cai
2018-08-04
DOI:10.4208/aamm.2016.m1397
41964
3120
pp. 596-620
Numerical Simulation of Phase-Field Round and Square Crystal Models on Curved Dynamic Substrates via the Evolving Surface Finite Element Method
Xufeng Xiao, Lulu Liu, Xiao Yu, Xinlong Feng
2025-11-19
DOI:10.4208/aamm.OA-2025-0017
1661
152
pp. 1389-1420
The Weak Galerkin Finite Element Method for Solving the Time-Dependent Integro-Differential Equations
Xiuli Wang, Qilong Zhai, Ran Zhang, Shangyou Zhang
2020-03-06
DOI:10.4208/aamm.OA-2019-0088
49455
5390
pp. 164-188
A Quadratic Triangular Finite Volume Element Method for a Semilinear Elliptic Equation
Zhiguang Xiong, Kang Deng
2018-05-05
DOI:10.4208/aamm.2014.m63
43542
4472
pp. 186-204
An Energy-Stable Finite Element Method for Incompressible Magnetohydrodynamic-Cahn-Hilliard Coupled Model
Jianping Zhao, Rui Chen, Haiyan Su
2021-04-13
DOI:10.4208/aamm.OA-2020-0044
47128
3430
pp. 761-790
Two-Scale Picard Stabilized Finite Volume Method for the Incompressible Flow
Jianhong Yang, Lei Gang, Jianwei Yang
2014-06-01
DOI:10.4208/aamm.2013.m153
42692
4292
pp. 663-679
First-Order, Unconditionally Stable, Fully Decoupled Methods for the Penalty Ericksen-Leslie System with Variable Density
Zhaowei Wang, Danxia Wang, Hongen Jia, Chenhui Zhang
2026-04-01
DOI:10.4208/amm.OA-2024-0065
5051
200
pp. 666-699
Penalty Finite Element Method for the 2D/3D Unsteady Incompressible Thermomicropolar Fluid Equations
Junru Guo, Demin Liu
2025-07-19
DOI:10.4208/aamm.OA-2023-0238
8143
582
pp. 1509-1549
A Two-Level Method for Pressure Projection Stabilized P1 Nonconforming Approximation of the Semi-Linear Elliptic Equations
Sufang Zhang, Hongxia Yan, Hongen Jia
2018-05-05
DOI:10.4208/aamm.2014.m842
40949
3186
pp. 386-398
Fracture Analysis in Orthotropic Thermoelasticity Using Extended Finite Element Method
Honggang Jia, Yufeng Nie, Junlin Li
2021-07-01
DOI:10.4208/aamm.2014.m627
42854
4132
pp. 780-795
Adaptive Finite Element Solutions of a Diffusion Model for Drug Release in PLGA Microspheres
Hongyu Chen, Guanghui Hu, Defang Ouyang
2026-06-01
DOI:10.4208/aamm.OA-2024-0219
4397
143
pp. 897-922
Convergence Analysis of a Weak Galerkin Finite Element Method on a Bakhvalov-Type Mesh for a Singularly Perturbed Convection-Diffusion Equation in 2D
Shicheng Liu, Xiangyun Meng, Qilong Zhai
2026-02-01
DOI:10.4208/aamm.OA-2024-0150
5003
468
pp. 348-368
An Alternating Direction Method of Multipliers for Optimal Control Problems Constrained with Elliptic Equations
Jinda Yang, Kai Zhang, Haiming Song, Ting Cheng
2020-01-17
DOI:10.4208/aamm.OA-2018-0198
48570
3368
pp. 336-361
A Stabilizer-Free Weak Galerkin Finite Element Method for the Stokes Equations
Yue Feng, Yujie Liu, Ruishu Wang, Shangyou Zhang
2021-11-18
DOI:10.4208/aamm.OA-2020-0325
50729
4396
pp. 181-201
Error Analysis of Two-Level Finite Element Method for the Nonlinear Conductivity Problem in Maxwell's System
Peizhen Wang, Dandan Zhang, Wei Yang
2021-04-13
DOI:10.4208/aamm.OA-2020-0049
45098
3324
pp. 791-805
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