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Advances in Applied Mathematics and Mechanics
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  • Superconvergence of Rectangular Mixed Finite Element Methods for Constrained Optimal Control Problem

    Yanping Chen, Li Dai, Zuliang Lu
    2010-02-01
    42748 4669 Pages:56-75
  • 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
  • SAV Finite Element Method for the Peng-Robinson Equation of State with Dynamic Boundary Conditions

    Changhui Yao, Zhaoyue Du, Lei Yang
    2022-10-24
    44586 4058 Pages:139-158
  • Finite Element $θ$-Schemes for the Acoustic Wave Equation

    Samir Karaa
    2018-08-10
    41812 4130 Pages:181-203
  • 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
  • A Modified Nonconforming 5-Node Quadrilateral Transition Finite Element

    Feiteng Huang, Xiaoping Xie
    2021-07-01
    41191 5064 Pages:784-797
  • Stable Mixed Element Schemes for Plate Models on Multiply-Connected Domains

    Shuo Zhang
    2020-06-01
    49265 3249 Pages:1008-1034
  • A Mixed Formulation of Stabilized Nonconforming Finite Element Method for Linear Elasticity

    Bei Zhang, Jikun Zhao
    2020-03-06
    47150 4826 Pages:278-300
  • 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
  • Nonconforming Finite Element Method for the Transmission Eigenvalue Problem

    Xia Ji, Yingxia Xi, Hehu Xie
    2018-05-05
    43122 4464 Pages:92-103
  • 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
  • Superconvergence of bi-$k$ Degree Time-Space Fully Discontinuous Finite Element for First-Order Hyperbolic Equations

    Hongling Hu, Chuanmiao Chen
    2018-05-05
    42511 3113 Pages:323-337
  • A Finite Volume Method Based on the Constrained Nonconforming Rotated Q1-Constant Element for the Stokes Problem

    Jing Qi, Wanfu Tian, Yonghai Li
    2012-04-01
    42867 4631 Pages:46-71
  • Immersed Finite Element Method for Eigenvalue Problems in Elasticity

    Seungwoo Lee, Do Young Kwak, Imbo Sim
    2018-09-17
    44692 3092 Pages:424-444
  • 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-Posteriori Error Estimates for Uniform $p$-Version Finite Element Methods in Square

    Jianwei Zhou, Danping Yang, Yujie Liu
    2018-05-05
    41850 3033 Pages:272-281
  • 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 Method of Lines Based on Immersed Finite Elements for Parabolic Moving Interface Problems

    Tao Lin, Yanping Lin, Xu Zhang
    2021-01-13
    42468 4124 Pages:548-568
  • Cell Conservative Flux Recovery and a Posteriori Error Estimate of Vertex-Centered Finite Volume Methods

    Long Chen, Ming Wang
    2013-05-01
    42845 4107 Pages:705-727
  • Fluid-Structure Interaction in Microchannel Using Lattice Boltzmann Method and Size-Dependent Beam Element

    V. Esfahanian, E. Dehdashti, A. M. Dehrouyeh-Semnani
    2014-06-01
    42421 4466 Pages:345-358
  • Characterizing Natural Convection, Energy, and Thermal Behavior in a Circular Cavity: Finite Element Analysis

    Muhammad Hamid, Muhammad Usman, Waqar Ahmed Khan, Rizwan Ul Haq, Zhenfu Tian
    2025-10-29
    4578 147 Pages:785-814
  • The Adaptive Immersed Finite Element Method for the Variational Discretization of the Elliptic Optimal Control Problem with Interface

    Yanzhen Chang, Mengxue Fan, Liang Ge
    2025-10-29
    4481 106 Pages:700-723
  • 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
  • Adaptive Finite Element Solutions of a Diffusion Model for Drug Release in PLGA Microspheres

    Hongyu Chen, Guanghui Hu, Defang Ouyang
    2025-11-19
    209 3
  • A Nonconforming Nitsche's Extended Finite Element Method for Elliptic Interface Problems

    Nan Wang, Jinru Chen
    2020-06-01
    48025 3484 Pages:879-901
  • Nonconforming FEMs for the $p$-Laplace Problem

    D. J. Liu, A. Q. Li, Z. R. Chen
    2021-07-01
    45849 4236 Pages:1365-1383
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