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Advances in Applied Mathematics and Mechanics
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  • Mixed Finite Element Methods for Elastodynamics Problems in the Symmetric Formulation

    Yan Yang, Shiquan Zhang
    2018-09-17
    43771 3071 Pages:1279-1304
  • 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
  • Analysis of Two-Grid Methods for Nonlinear Parabolic Equations by Expanded Mixed Finite Element Methods

    Yanping Chen, Peng Luan, Zuliang Lu
    2021-07-01
    41511 4132 Pages:830-844
  • 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
  • A Type of Cascadic Adaptive Finite Element Method for Eigenvalue Problem

    Fei Xu, Qiumei Huang, Shuangshuang Chen, Hongkun Ma
    2020-04-10
    44804 3231 Pages:774-796
  • An Energy-Stable Finite Element Method for Incompressible Magnetohydrodynamic-Cahn-Hilliard Coupled Model

    Jianping Zhao, Rui Chen, Haiyan Su
    2021-04-13
    46836 3342 Pages:761-790
  • Time-Space Adaptive Finite Element Method for Nonlinear Schrödinger Equation

    Yaoyao Chen, Ying Liu, Hao Wang
    2024-12-02
    13959 1026 Pages:207-223
  • An Isoparametric Finite Element Method for Reissner-Mindlin Plate Problem on Curved Domain

    Zhixin Liu, Minghui Song, Shicang Song
    2024-02-29
    26787 2594 Pages:715-737
  • Nonconforming Mixed FEM Analysis for Multi-Term Time-Fractional Mixed Sub-Diffusion and Diffusion-Wave Equation with Time-Space Coupled Derivative

    Fangfang Cao, Yanmin Zhao, Fenling Wang, Yanhua Shi, Changhui Yao
    2022-12-13
    40564 3250 Pages:322-358
  • The Locally Conservative Galerkin (LCG) Method — a Discontinuous Methodology Applied to a Continuous Framework

    Rhodri L. T. Bevan, Raoul vanLoon, Perumal Nithiarasu
    2018-08-10
    40770 3740 Pages:319-340
  • Superconvergence Analysis for the Maxwell's Equations in Debye Medium with a Thermal Effect

    Changhui Yao, Dongyang Shi, Mengmeng Hou
    2020-03-06
    48073 4953 Pages:141-163
  • Superconvergence Error Estimate of the Bilinear-Constant Scheme for the Stokes Equations with Damping

    Huaijun Yang, Lele Wang, Xin Liao
    2024-11-01
    15169 1359 Pages:1502-1518
  • Alternating Direction Implicit Finite Element Method for Multi-Dimensional Black-Scholes Models

    Limei Li, Alexander Lapin, Shuhua Zhang
    2019-01-11
    44992 3044 Pages:535-558
  • Optimal Error Analysis of Euler and BDF2 Semi-Renormalized FEMs for the Landau-Lifshitz-Slonczewski Equation

    Yundan Zhao, Rong An
    2025-05-12
    8540 499 Pages:1063-1087
  • Two-Grid Discretization Scheme for Nonlinear Reaction Diffusion Equation by Mixed Finite Element Methods

    Luoping Chen, Yanping Chen
    2014-06-01
    43685 4639 Pages:203-219
  • 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
  • An Efficient Second-Order Finite Volume ADI Method for Nonlinear Three-Dimensional Space-Fractional Reaction-Diffusion Equations

    Bingyin Zhang, Hongfei Fu, Xueting Liang, Jun Liu, Jiansong Zhang
    2022-08-08
    275646 3715 Pages:1400-1432
  • A Galerkin Splitting Symplectic Method for the Two Dimensional Nonlinear Schrödinger Equation

    Zhenguo Mu, Haochen Li, Yushun Wang, Wenjun Cai
    2018-09-17
    45536 3126 Pages:1069-1089
  • Penalty Finite Element Method for the 2D/3D Unsteady Incompressible Thermomicropolar Fluid Equations

    Junru Guo, Demin Liu
    2025-07-19
    7516 462 Pages:1509-1549
  • Unconditional Long Time $\text{H}^1$-Stability of a Velocity-Vorticity-Temperature Scheme for the $2\text{D}$-Boussinesq System

    Mine Akbas
    2020-07-24
    48430 3139 Pages:1166-1195
  • Unconditional Superconvergence Analysis of Energy Conserving Finite Element Methods for the Nonlinear Coupled Klein-Gordon Equations

    Ming Cui, Yanfei Li, Changhui Yao
    2023-02-24
    39737 3456 Pages:602-622
  • Asymptotic Expansions and Extrapolations of $H^1$-Galerkin Mixed Finite Element Method for Strongly Damped Wave Equation

    Dongyang Shi, Qili Tang, Xin Liao
    2018-05-05
    42025 3028 Pages:610-624
  • A Well-Balanced Runge-Kutta Discontinuous Galerkin Method for Multilayer Shallow Water Equations with Non-Flat Bottom Topography

    Nouh Izem, Mohammed Seaid
    2022-02-25
    47360 3264 Pages:725-758
  • Modified Two-Grid Algorithm for Nonlinear Power-Law Conductivity in Maxwell's Problems with High Accuracy

    Changhui Yao, Yanfei Li
    2020-12-18
    43303 3150 Pages:481-502
  • A Second-Order Energy Stable BDF Numerical Scheme for the Viscous Cahn-Hilliard Equation with Logarithmic Flory-Huggins Potential

    Danxia Wang, Xingxing Wang, Hongen Jia
    2021-04-13
    44491 3200 Pages:867-891
  • A Fully Discrete Method for Space-Time Fractional Parabolic Problems

    Zunlin Tan, Xiaoping Xie
    2025-11-28
    91 3
  • Fully Finite Element Adaptive AMG Method for Time-Space Caputo-Riesz Fractional Diffusion Equations

    X. Q. Yue, W. P. Bu, S. Shu, M. H. Liu, S. Wang
    2018-09-17
    45391 3175 Pages:1103-1125
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