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Advances in Applied Mathematics and Mechanics
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  • A Two-Level Method for Pressure Projection Stabilized P1 Nonconforming Approximation of the Semi-Linear Elliptic Equations

    Sufang Zhang, Hongxia Yan, Hongen Jia
    2018-05-05
    40731 3117 Pages:386-398
  • Analysis of an Implicit Fully Discrete Local Discontinuous Galerkin Method for the Time-Fractional Kdv Equation

    Leilei Wei, Yinnian He, Xindong Zhang
    2018-05-05
    41538 3117 Pages:510-527
  • A Priori Error Analysis of an Euler Implicit, Finite Element Approximation of the Unsteady Darcy Problem in an Axisymmetric Domain

    Ajmia Younes Orfi, Driss Yakoubi
    2018-09-17
    44766 3155 Pages:301-321
  • Numerical Studies of Vanka-Type Smoothers in Computational Solid Mechanics

    Hilmar Wobker, Stefan Turek
    2018-08-10
    44506 4959 Pages:29-55
  • 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
  • Mortar Element Method for the Coupling of Navier-Stokes and Darcy Flows

    Xin Zhao, Yanping Chen
    2018-09-17
    43675 2984 Pages:710-734
  • Investigation of Taylor-Görtler-like Vortices Using the Parallel Consistent Splitting Scheme

    Yong Hong Kuo, Kawi-Lam Wong, Jeff Chak-Fu Wong
    2021-07-01
    42250 4504 Pages:799-815
  • A Ciarlet-Raviart Mixed Finite Element Method for Optimal Control Problems Governed by a Fourth Order Bi-Wave Equation

    Hongbo Guan, Wen Liu, Yong Yang
    2025-11-22
    158 3
  • 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
  • A Modified Helmholtz Equation with Impedance Boundary Conditions

    Robert S. Callihan, Aihua W. Wood
    2021-07-01
    43703 4354 Pages:703-718
  • 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
  • FETD Study of the Wave Propagation in Chiral Metamaterials

    Lei Yang, Fuhao Liu, Wei Yang
    2020-10-20
    50955 4712 Pages:191-202
  • Analysis of Solving Galerkin Finite Element Methods with Symmetric Pressure Stabilization for the Unsteady Navier-Stokes Equations Using Conforming Equal Order Interpolation

    Gang Chen, Minfu Feng
    2018-05-05
    41820 2979 Pages:362-377
  • Investigation of HDD Ramp Unloading Processes with an Efficient Scheme

    Yan Liu, Hejun Du
    2021-07-01
    40749 4199 Pages:716-728
  • High Order Efficient Algorithm for Computation of MHD Flow Ensembles

    Muhammad Mohebujjaman
    2022-06-13
    43098 3456 Pages:1111-1137
  • Semi-Discrete Predictor-Multicorrector FEM Algorithms for the 2D/3D Unsteady Incompressible Micropolar Fluid Equations

    Xiaowei Bi, Demin Liu
    2024-11-01
    15117 1341 Pages:1519-1548
  • The Random Feature Method for Elliptic Eigenvalue Problems

    Kexiang Xiong, Zhen Zhang, Jingrun Chen, Yixin Luo
    2025-05-12
    8350 497 Pages:1133-1170
  • Discontinuous Galerkin Methods for Semilinear Elliptic Boundary Value Problem

    Jiajun Zhan, Liuqiang Zhong, Jie Peng
    2022-12-13
    40857 3022 Pages:450-467
  • 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
  • Algebraic Multigrid Block Triangular Preconditioning for Multidimensional Three-Temperature Radiation Diffusion Equations

    Shi Shu, Menghuan Liu, Xiaowen Xu, Xiaoqiang Yue, Shengguo Li
    2021-06-08
    45160 3187 Pages:1203-1226
  • A Residual Distribution Method Using Discontinuous Elements for the Computation of Possibly Non Smooth Flows

    Rémi Abgrall
    2010-02-01
    42811 4884 Pages:32-44
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