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Advances in Applied Mathematics and Mechanics
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  • Unconditional Optimal Error Estimates for the Transient Navier-Stokes Equations with Damping

    Minghao Li, Zhenzhen Li, Dongyang Shi
    2021-11-18
    47685 4241 Pages:248-274
  • 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
    25720 2302 Pages:1152-1175
  • A Priori Error Estimates for Spectral Galerkin Approximations of Integral State-Constrained Fractional Optimal Control Problems

    Juan Zhang, Jiabin Song, Huanzhen Chen
    2023-02-24
    38911 3284 Pages:568-582
  • Error Estimate and Superconvergence of a High-Accuracy Difference Scheme for Solving Parabolic Equations with an Integral Two-Space-Variables Condition

    Liping Zhou, Shi Shu, Haiyuan Yu
    2018-09-17
    43913 3154 Pages:362-389
  • Error Estimate of a Second Order Accurate Scalar Auxiliary Variable (SAV) Numerical Method for the Epitaxial Thin Film Equation

    Qing Cheng, Cheng Wang
    2021-11-17
    118609 5935 Pages:1318-1354
  • Quadratic Finite Volume Method for a Nonlinear Elliptic Problem

    Yanwei Du, Yonghai Li, Zhiqiang Sheng
    2019-06-24
    43759 3175 Pages:838-869
  • Finite Volume Element Method for a Nonlinear Parabolic Equation

    Yanwei Du, Yonghai Li
    2025-03-14
    11085 765 Pages:681-705
  • Optimal Error Estimate of the Penalty FEM for the Stationary Conduction-Convection Problems

    Yanfang Lei, Hongtao Wang, Zhiyong Si
    2018-09-17
    42995 2894 Pages:767-784
  • A Priori Error Estimates of Finite Element Methods for Linear Parabolic Integro-Differential Optimal Control Problems

    Wanfang Shen, Liang Ge, Danping Yang, Wenbin Liu
    2014-06-01
    42980 4213 Pages:552-569
  • Convergence Analysis and Error Estimate for Distributed Optimal Control Problems Governed by Stokes Equations with Velocity-Constraint

    Liang Ge, Haifeng Niu, Jianwei Zhou
    2021-11-18
    49789 4381 Pages:33-55
  • A Primal-Dual Discontinuous Galerkin Finite Element Method for Ill-Posed Elliptic Cauchy Problems

    Yanli Chen, Tie Zhang, Ying Sheng
    2024-05-14
    24827 2414 Pages:860-877
  • An Efficient and Unconditionally Convergent Galerkin Finite Element Method for the Nonlinear Schrödinger Equation in High Dimensions

    Yue Cheng, Tingchun Wang, Boling Guo
    2021-04-13
    62832 4037 Pages:735-760
  • A Weak Galerkin Finite Element Method for a $H({\rm curl})$-Elliptic Problem

    Jie Peng, Yingying Xie, Yage Xu, Liuqiang Zhong
    2025-07-19
    7479 454 Pages:1411-1429
  • A Mortar Method Using Nonconforming and Mixed Finite Elements for the Coupled Stokes-Darcy Model

    Peiqi Huang, Jinru Chen, Mingchao Cai
    2018-08-04
    41731 3059 Pages:596-620
  • A Family of Nonconforming Rectangular Elements for Strain Gradient Elasticity

    Yulei Liao, Pingbing Ming
    2021-07-01
    49773 4323 Pages:1263-1286
  • A Quadratic Finite Volume Method for Parabolic Problems

    Yuanyuan Zhang, Xiaoping Liu
    2023-10-11
    30374 2698 Pages:1407-1427
  • Robust Semi-Discrete and Fully Discrete Hybrid Stress Finite Element Methods for Elastodynamic Problems

    Xiaojing Xu, Xiaoping Xie
    2018-05-05
    41886 3036 Pages:324-348
  • A Stabilized Finite Element Method for Non-Stationary Conduction-Convection Problems

    Ke Zhao, Yinnian He, Tong Zhang
    2018-08-10
    41437 4284 Pages:239-258
  • Two-Grid Crank-Nicolson Finite Volume Element Method for the Time-Dependent Schrödinger Equation

    Chuanjun Chen, Yuzhi Lou, Tong Zhang
    2022-08-08
    284711 3905 Pages:1357-1380
  • Local Discontinuous Galerkin Methods with Decoupled Implicit-Explicit Time Marching for the Growth-Mediated Autochemotactic Pattern Formation Model

    Hui Wang, Hui Guo, Jiansong Zhang, Lulu Tian
    2023-12-21
    26526 2309 Pages:208-236
  • A Nitsche-Based Element-Free Galerkin Method for Semilinear Elliptic Problems

    Tao Zhang, Xiaolin Li
    2023-12-21
    26791 2564 Pages:24-46
  • 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
    2025-10-14
    4232 265 Pages:348-368
  • A Combined Discontinuous Galerkin Method for Saltwater Intrusion Problem with Splitting Mixed Procedure

    Jiansong Zhang, Jiang Zhu, Danping Yang
    2018-08-04
    42128 3027 Pages:651-666
1 - 23 of 23 items
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