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Advances in Applied Mathematics and Mechanics
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  • 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
  • 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
  • Runge-Kutta Finite Element Method Based on the Characteristic for the Incompressible Navier-Stokes Equations

    Shaokai Liao, Yan Zhang, Da Chen
    2021-07-01
    50335 4147 Pages:1415-1435
  • A Bilinear Petrov-Galerkin Finite Element Method for Solving Elliptic Equation with Discontinuous Coefficients

    Liqun Wang, Songming Hou, Liwei Shi, Ping Zhang
    2019-01-04
    47772 4718 Pages:216-240
  • Finite Element Scheme with H2N2 Interpolation for Multi-Term Time-Fractional Mixed Sub-Diffusion and Diffusion-Wave Equation

    Huiqin Zhang, Yanping Chen, Jianwei Zhou, Yang Wang
    2024-07-22
    26270 2390 Pages:1197-1222
  • Convergence Analysis of a BDF Finite Element Method for the Resistive Magnetohydrodynamic Equations

    Lina Ma, Cheng Wang, Zeyu Xia
    2024-12-31
    13013 1149 Pages:633-662
  • Finite Volume Element Method for a Nonlinear Parabolic Equation

    Yanwei Du, Yonghai Li
    2025-03-14
    11085 765 Pages:681-705
  • 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
  • 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
  • Error Estimates of Mixed Methods for Optimal Control Problems Governed by General Elliptic Equations

    Tianliang Hou, Li Li
    2021-07-01
    43293 3852 Pages:1050-1071
  • Moving Finite Element Methods for a System of Semi-Linear Fractional Diffusion Equations

    Jingtang Ma, Zhiqiang Zhou
    2021-07-01
    43848 4049 Pages:911-931
  • Uniform Convergence Analysis of a Higher Order Hybrid Stress Quadrilateral Finite Element Method for Linear Elasticity Problems

    Yanhong Bai, Yongke Wu, Xiaoping Xie
    2018-05-05
    40770 3084 Pages:399-425
  • 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
  • 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
  • An Algebraic Multigrid Method for Nearly Incompressible Elasticity Problems in Two-Dimensions

    Yingxiong Xiao, Shi Shu, Hongmei Zhang, Yuan Ouyang
    2018-08-10
    43524 4921 Pages:69-88
  • On Higher Order Pyramidal Finite Elements

    Liping Liu, Kevin B. Davies, Michal Křížek, Guan Li
    2018-08-10
    41431 4080 Pages:131-140
  • Algebraic Multigrid Preconditioning for Finite Element Solution of Inhomogeneous Elastic Inclusion Problems in Articular Cartilage

    Zhengzheng Hu, Mansoor A Haider
    2021-07-01
    40411 4080 Pages:729-744
  • Superconvergence of Mixed Methods for Optimal Control Problems Governed by Parabolic Equations

    Xiaoqing Xing, Yanping Chen
    2011-03-01
    41173 3962 Pages:401-419
  • 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
  • An Iterative Two-Grid Method of a Finite Element PML Approximation for the Two Dimensional Maxwell Problem

    Chunmei Liu, Shi Shu, Yunqing Huang, Liuqiang Zhong, Junxian Wang
    2018-08-10
    42270 4088 Pages:175-189
  • Moving Finite Element Simulations for Reaction-Diffusion Systems

    Guanghui Hu, Zhonghua Qiao, Tao Tang
    2012-04-01
    42538 4448 Pages:365-381
  • Numerical Simulation of a Multi-Frequency Resistivity Logging-While-Drilling Tool Using a Highly Accurate and Adaptive Higher-Order Finite Element Method

    Zhonghua Ma, Dejun Liu, Hui Li, Xinsheng Gao
    2012-04-01
    41799 4518 Pages:439-453
  • A Modified Characteristics Finite Element Method for the Electroneutral Micro-Fluids

    Zhiyong Si, Piaopiao Dong, Yunxia Wang
    2022-01-24
    41055 3299 Pages:386-414
  • 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
  • A Stabilizer-Free Weak Galerkin Finite Element Method for the Stokes Equations

    Yue Feng, Yujie Liu, Ruishu Wang, Shangyou Zhang
    2021-11-18
    50388 4228 Pages:181-201
  • 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
  • Two-Grid Immersed Finite Volume Element Methods for Semi-Linear Elliptic Interface Problems with Non-Homogeneous Jump Conditions

    Quanxiang Wang, Liqun Wang & Jianqiang Xie
    2022-04-11
    44134 3561 Pages:842-870
82 - 108 of 249 items
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