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Accurate Static and Dynamic Analysis Using Unstructured Meshes for Complicated Geometry Problems
Guangze Tang, Hong Yang, She Li, Xin Hu, Xiangyang Cui
2025-09-29
DOI:10.4208/aamm.OA-2023-0208
7256
378
pp. 1813-1840
A New Mixed Finite Element Method for Biot Consolidation Equations
Luoping Chen, Yan Yang
2021-07-01
DOI:10.4208/aamm.OA-2019-0174
47289
4190
pp. 1520-1541
New Mixed Finite Volume Spaces for Elliptic Problems on Parallelepiped
Ji Hyun Kim
2020-06-01
DOI:10.4208/aamm.OA-2018-0239
49663
3453
pp. 959-971
A New Size-Dependent Cylindrical Shell Element Based on Modified Couple Stress Theory
Iman Soleimani, Yaghoub Tadi Beni, Fahimeh Mehralian
2018-09-17
DOI:10.4208/aamm.OA-2016-0201
47596
3556
pp. 819-844
FEA Versus IGA in a Two-Node Beam Element Based on Unified and Integrated Method
Andi Makarim Katili, Irwan Katili
2021-07-01
DOI:10.4208/aamm.OA-2018-0255
47187
4367
pp. 1565-1586
Unified a Priori Error Estimate and a Posteriori Error Estimate of CIP-FEM for Elliptic Equations
Jianye Wang, Rui Ma
2018-05-05
DOI:10.4208/aamm.2014.m834
42292
3051
pp. 517-535
An Upwind Mixed Finite Element Method on Changing Meshes for Positive Semi-Definite Oil-Water Displacement of Darcy-Forchheimer Flow in Porous Media
Yirang Yuan, Huailing Song, Changfeng Li, Tongjun Sun
2020-07-24
DOI:10.4208/aamm.OA-2019-0256
49744
3325
pp. 1196-1223
$(1+s)$-Order Convergence Analysis of Weak Galerkin Finite Element Methods for Second Order Elliptic Equations
Yiying Wang, Yongkui Zou, Shimin Chai
2020-12-21
DOI:10.4208/aamm.OA-2020-0020
47914
3259
pp. 554-568
A Coercivity Result of Quadratic Finite Volume Element Schemes over Triangular Meshes
Xueying Wen, Yanhui Zhou
2023-04-11
DOI:10.4208/aamm.OA-2021-0311
38036
3260
pp. 901-931
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
A Parallel Pressure Projection Stabilized Finite Element Method for Stokes Equation with Nonlinear Slip Boundary Conditions
Kangrui Zhou, Yueqiang Shang
2021-07-01
DOI:10.4208/aamm.OA-2019-0190
47839
4236
pp. 1438-1456
Finite Difference/Element Method for a Two-Dimensional Modified Fractional Diffusion Equation
Na Zhang, Weihua Deng, Yujiang Wu
2012-04-01
DOI:10.4208/aamm.10-m1210
42650
4733
pp. 496-518
Superconvergence Analysis for the Maxwell's Equations in Debye Medium with a Thermal Effect
Changhui Yao, Dongyang Shi, Mengmeng Hou
2020-03-06
DOI:10.4208/aamm.OA-2019-0126
48300
5113
pp. 141-163
A Second Order Accurate in Time, Energy Stable Finite Element Scheme for the Flory-Huggins-Cahn-Hilliard Equation
Maoqin Yuan, Wenbin Chen, Cheng Wang, Steven M. Wise, Zhengru Zhang
2022-08-08
DOI:10.4208/aamm.OA-2021-0331
270396
3806
pp. 1477-1508
A Comparative Study of Finite Element and Finite Difference Methods for Two-Dimensional Space-Fractional Advection-Dispersion Equation
Guofei Pang, Wen Chen, Kam Yim Sze
2018-05-05
DOI:10.4208/aamm.2014.m693
43895
4731
pp. 166-186
Superconvergence of bi-$k$ Degree Time-Space Fully Discontinuous Finite Element for First-Order Hyperbolic Equations
Hongling Hu, Chuanmiao Chen
2018-05-05
DOI:10.4208/aamm.2014.m615
42726
3172
pp. 323-337
Mixed Finite Element Methods for Elastodynamics Problems in the Symmetric Formulation
Yan Yang, Shiquan Zhang
2018-09-17
DOI:10.4208/aamm.OA-2017-0280
44031
3157
pp. 1279-1304
Error Analysis and Adaptive Methods of Least Squares Nonconforming Finite Element for the Transport Equations
Huipo Liu, Shuanghu Wang, Hongbin Han
2018-05-05
DOI:10.4208/aamm.2015.m1104
42801
3005
pp. 871-886
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
Superconvergence of Finite Element Approximations of the Two-Dimensional Cubic Nonlinear Schrödinger Equation
Jianyun Wang, Zhikun Tian
2022-02-25
DOI:10.4208/aamm.OA-2020-0268
49154
3410
pp. 652-665
An Isoparametric Finite Element Method for Reissner-Mindlin Plate Problem on Curved Domain
Zhixin Liu, Minghui Song, Shicang Song
2024-02-29
DOI:10.4208/aamm.OA-2022-0206
27099
2691
pp. 715-737
A Modified Nonconforming 5-Node Quadrilateral Transition Finite Element
Feiteng Huang, Xiaoping Xie
2021-07-01
DOI:10.4208/aamm.09-m09110
41423
5188
pp. 784-797
Characterizing Natural Convection, Energy, and Thermal Behavior in a Circular Cavity: Finite Element Analysis
Muhammad Hamid, Muhammad Usman, Waqar Ahmed Khan, Rizwan Ul Haq, Zhenfu Tian
2026-04-01
DOI:10.4208/amm.OA-2024-0111
5227
287
pp. 785-814
An Error Analysis for the Finite Element Approximation to the Steady-State Poisson-Nernst-Planck Equations
Ying Yang, Benzhuo Lu
2018-08-10
DOI:10.4208/aamm.11-m11184
43746
4934
pp. 113-130
Immersed Finite Element Method for Eigenvalue Problems in Elasticity
Seungwoo Lee, Do Young Kwak, Imbo Sim
2018-09-17
DOI:10.4208/aamm.OA-2016-0189
44952
3170
pp. 424-444
Error Estimates for Finite Element Approximation to Elliptic Optimal Control Problems with Boundary Observations in $H^{-\frac{1}{2}}(\Gamma)$
Xuelin Tao
2024-07-22
DOI:10.4208/aamm.OA-2022-0172
26065
2384
pp. 1152-1175
Analysis of Two-Grid Methods for Nonlinear Parabolic Equations by Expanded Mixed Finite Element Methods
Yanping Chen, Peng Luan, Zuliang Lu
2021-07-01
DOI:10.4208/aamm.09-m09S09
41818
4294
pp. 830-844
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