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Advances in Applied Mathematics and Mechanics
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  • A Priori Error Estimates of Crank-Nicolson Finite Volume Element Method for Parabolic Optimal Control Problems

    Xianbing Luo, Yanping Chen, Yunqing Huang
    2013-05-01
    42665 4159 Pages:688-704
  • Nonconforming Finite Element Methods for Two-Dimensional Linearly Elastic Shallow Shell Model

    Rongfang Wu, Xiaoqin Shen, Dongyang Shi, Jiaping Yu
    2024-01-04
    26935 2325 Pages:493-518
  • 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
  • A Fully Discrete Method for Space-Time Fractional Parabolic Problems

    Zunlin Tan, Xiaoping Xie
    2025-11-28
    91 3
  • Error Analysis of Fully Discrete Data Assimilation Algorithms for Reaction-Diffusion Equation

    Wansheng Wang, Chengyu Jin, Yi Huang
    2025-03-14
    11037 784 Pages:840-866
  • An $h$-Adaptive Finite Element Solution of the Relaxation Non-Equilibrium Model for Gravity-Driven Fingers

    Huanying Bian, Yedan Shen, Guanghui Hu
    2021-11-17
    49444 3990 Pages:1418-1440
  • A Posteriori Error Estimate for Stabilized Low-Order Mixed FEM for the Stokes Equations

    Yinnian He, Cong Xie, Haibiao Zheng
    2021-07-01
    39423 3972 Pages:798-809
  • 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
  • Fully Discrete Schemes with First- and Second-Order Temporal Accuracy for the Incompressible Magnetohydrodynamic Flow Based on the Generalized Scalar Auxiliary Variable Approach

    Huimin Ma, Pengzhan Huang
    2025-10-14
    4582 264 Pages:109-113
  • Efficient Preconditioned Iterative Linear Solvers for 3-D Magnetostatic Problems Using Edge Elements

    Xian-Ming Gu, Yanpu Zhao, Tingzhu Huang, Ran Zhao
    2020-01-17
    48781 3309 Pages:301-318
  • The Crank-Nicolson/Explicit Scheme for the Natural Convection Equations with Nonsmooth Initial Data

    Jinting Yang, Hongxia Liang, Tong Zhang
    2021-07-01
    47534 4104 Pages:1481-1519
  • Sensitivity Analysis and Computations of the Time Relaxation Model

    Monika Neda, Fran Pahlevani, Jiajia Waters
    2018-03-29
    42578 4444 Pages:89-115
  • PINN-Based Partial Learning for Multicontinuum Problems: Dual Continuum Fluid Filtration Simulation

    Wanbao Huang, Yin Yang, Dmitry Ammosov, Wei Xie, Sergei Stepanov
    2025-10-29
    4510 102 Pages:537-560
  • Flexible Multibody System Dynamics by Means of a Spectral Based Meshless Approach

    Giuseppe Catania, Alessandro Zanarini
    2019-06-24
    43156 3045 Pages:757-806
  • Optimization and Identification of the Shape in Elastoplastic Boundary Problems Using Parametric Integral Equation System (PIES)

    Agnieszka Bo\u0142tu\u0107
    2020-06-01
    49349 3316 Pages:1035-1056
  • Two Efficient Block Preconditioners for the Mass-Conserved Ohta-Kawasaki Equation

    Juan Zhang, Shifeng Li, Kai Jiang
    2024-12-31
    13158 1143 Pages:454-488
  • An Energy Stable Local Discontinuous Galerkin Method for a Binary Compressible Flow

    Hui Sun, Lulu Tian, Hui Guo
    2025-03-14
    11176 775 Pages:888-908
  • Discontinuous Galerkin Methods for Semilinear Elliptic Boundary Value Problem

    Jiajun Zhan, Liuqiang Zhong, Jie Peng
    2022-12-13
    40857 3022 Pages:450-467
  • Parallel Domain Decomposition-Based Solver for the Simulation of Flow over an Ahmed Reference Model

    Zhengzheng Yan, Rongliang Chen, Chao Wang, Lei Xu, Jingzhi Li
    2023-02-24
    38246 3224 Pages:769-785
  • An SAV Method for Imaginary Time Gradient Flow Model in Density Functional Theory

    Ting Wang, Jie Zhou, Guanghui Hu
    2023-02-24
    38988 3734 Pages:719-736 Open-access
  • A Reconstructed Discontinuous Approximation to Monge-Ampère Equation in Least Square Formulation

    Ruo Li, Fanyi Yang
    2023-06-21
    38264 3216 Pages:1109-1141
  • A Simplified Parallel Two-Level Iterative Method for Simulation of Incompressible Navier-Stokes Equations

    Yueqiang Shang, Jin Qin
    2021-07-01
    42508 4023 Pages:715-735
  • Accelerated Gradient Descent Methods for the Uniaxially Constrained Landau-de Gennes Model

    Edison E. Chukwuemeka, Shawn W. Walker
    2021-11-18
    50160 3959 Pages:1-32
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