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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
Error Estimation and Stress Recovery by Patch Equilibrium in the Isogeometric Analysis Method
Ahmad Ganjali, Behrooz Hassani, Masoud Mahdizadeh Rokhi
2020-07-24
DOI:10.4208/aamm.OA-2018-0245
49814
3285
pp. 1079-1112
Numerical Analysis for the Model Governing Anomalous Dynamics in Expanding Media
Maoping Wang, Weihua Deng
2026-04-01
DOI:10.4208/aamm.OA-2023-0282
5088
241
pp. 724-755
Convergence Analysis of Legendre-Collocation Spectral Methods for Second Order Volterra Integro-Differential Equation with Delay
Weishan Zheng, Yanping Chen, Yunqing Huang
2019-01-11
DOI:10.4208/aamm.OA-2018-0121
44106
3165
pp. 486-500
A New Framework of Convergence Analysis for Solving the General Nonlinear Schrödinger Equation Using the Fourier Pseudo-Spectral Method in Two Dimensions
Jialing Wang, Tingchun Wang, Yushun Wang
2023-02-24
DOI:10.4208/aamm.OA-2021-0219
38435
3264
pp. 786-813
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
Error Analysis of a New Euler Semi-Implicit Time-Discrete Scheme for the Incompressible MHD System with Variable Density
Yuan Li, Xuewei Cui
2024-12-02
DOI:10.4208/aamm.OA-2023-0025
14412
1298
pp. 263-294
New Regularization and Error Estimate for the Cauchy Problem of the Nonlinear Helmholtz-Type Equation
Zhenping Li, Xiangtuan Xiong
2026-08-01
DOI:10.4208/aamm.OA-2024-0180
904
94
pp. 1269-1306
Posteriori Error Estimation for an Interior Penalty Discontinuous Galerkin Method for Maxwell's Equations in Cold Plasma
Jichun Li
2018-08-10
43171
4776
pp. 107-124
A Posteriori Error Analysis of Any Order Finite Volume Methods for Elliptic Problems
Yuanyuan Zhang, Min Yang
2020-01-17
DOI:10.4208/aamm.OA-2019-0012
45356
3306
pp. 564-578
Unconditional Optimal Error Estimates for the Transient Navier-Stokes Equations with Damping
Minghao Li, Zhenzhen Li, Dongyang Shi
2021-11-18
DOI:10.4208/aamm.OA-2020-0239
48004
4398
pp. 248-274
Unconditional Stability and Error Estimates of the Modified Characteristics FEM for the Time-Dependent Viscoelastic Oldroyd Flows
Yang Yang, Yanfang Lei, Zhiyong Si
2020-12-18
DOI:10.4208/aamm.OA-2018-0169
44222
3459
pp. 311-332
A Priori and a Posteriori Error Analysis of the Discontinuous Galerkin Methods for Reissner-Mindlin Plates
Jun Hu, Yunqing Huang
2021-07-01
DOI:10.4208/aamm.11-m1111
40908
4224
pp. 649-662
The a Posteriori Error Estimates for Chebyshev-Galerkin Spectral Methods in One Dimension
Jianwei Zhou
2018-03-30
DOI:10.4208/aamm.2013.m193
41463
3233
pp. 145-157
High-Order Three-Scale Computational Method for Thermoelastic Behavior Analysis of Axisymmetric Composite Structures with Multiple Spatial Scales
Hao Dong, Junzhi Cui, Yufeng Nie, Zihao Yang, Zhiqiang Yang
2020-01-17
DOI:10.4208/aamm.OA-2019-0071
47056
3224
pp. 599-642
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 Viscosity-Splitting Method for the Navier-Stokes/ Darcy Problem
Yunxia Wang, Xuefeng Han, Zhiyong Si
2020-03-06
DOI:10.4208/aamm.OA-2019-0084
48819
5111
pp. 251-277
Error Analysis of a Pressure Penalty Scheme for the Reformulated Ericksen-Leslie System with Variable Density
Xin Zhang, Danxia Wang, Jianwen Zhang, Hongen Jia
2024-05-14
DOI:10.4208/aamm.OA-2023-0121
25399
2494
pp. 952-979
A High Accuracy Numerical Method and Error Analysis for Fourth Order Elliptic Eigenvalue Problems in Circular Domain
Yixiao Ge, Ting Tan, Jing An
2020-04-10
DOI:10.4208/aamm.OA-2019-0068
46385
3392
pp. 815-834
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
Error Analysis of Fully Discrete Data Assimilation Algorithms for Reaction-Diffusion Equation
Wansheng Wang, Chengyu Jin, Yi Huang
2025-03-14
DOI:10.4208/aamm.OA-2023-0150
11429
879
pp. 840-866
A Posteriori Error Estimate for Stabilized Low-Order Mixed FEM for the Stokes Equations
Yinnian He, Cong Xie, Haibiao Zheng
2021-07-01
DOI:10.4208/aamm.09-m0995
39633
4093
pp. 798-809
Error Analysis for a Non-Monotone FEM for a Singularly Perturbed Problem with Two Small Parameters
Yanping Chen, Haitao Leng, Li-Bin Liu
2018-03-30
DOI:10.4208/aamm.2013.m399
41849
3211
pp. 196-206
A Posteriori Error Estimates of a Combined Mixed Finite Element and Discontinuous Galerkin Method for a Kind of Compressible Miscible Displacement Problems
Jiming Yang, Zhiguang Xiong
2013-05-01
DOI:10.4208/aamm.11-m1140
42034
4484
pp. 163-179
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
Convergence Accelerating in the Homotopy Analysis Method: A New Approach
M. Turkyilmazoglu
2018-09-17
DOI:10.4208/aamm.OA-2017-0196
50214
3563
pp. 925-947
Convergence Analysis of the Spectral Methods for Weakly Singular Volterra Integro-Differential Equations with Smooth Solutions
Yunxia Wei, Yanping Chen
2012-04-01
DOI:10.4208/aamm.10-m1055
42939
4769
pp. 1-20
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