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  • The Best $L^2$ Norm Error Estimate of Lower Order Finite Element Methods for the Fourth Order Problem

    Jun Hu & Zhong-Ci Shi
    2018-08-22
    36240 3352 Pages:449-460
  • A Posteriori Energy-Norm Error Estimates for Advection-Diffusion Equations Approximated by Weighted Interior Penalty Methods

    Alexandre Ern & Annette F. Stephansen
    2018-08-07
    31423 3387 Pages:488-510
  • High Order Local Discontinuous Galerkin Methods for the Allen-Cahn Equation: Analysis and Simulation

    Ruihan Guo, Liangyue Ji, Yan Xu
    2018-08-22
    41007 2977 Pages:135-158
  • A Priori and a Posteriori Error Estimates of a Weakly Over-Penalized Interior Penalty Method for Non-Self-Adjoint and Indefinite Problems

    Yuping Zeng, Jinru Chen, Feng Wang & Yanxia Meng
    2018-08-22
    34960 3988 Pages:332-347
  • Finite Element Methods for a Bi-Wave Equation Modeling D-Wave Superconductors

    Xiaobing Feng & Michael Neilan
    2018-08-22
    33375 3570 Pages:331-353
  • Error Analysis of Stabilized Convex Splitting ${\rm BDF}k$ Method for the Molecular Beam Epitaxial Model with Slope Selection

    Juan Li, Xuping Wang
    2025-11-20
    1341 73 Pages:165-190
  • A Posteriori Error Estimates of the Weak Galerkin Finite Element Method for Poisson-Nernst-Planck Equations

    Wanwan Zhu, Guanghua Ji
    2025-01-06
    115 23
  • Error Reduction in Adaptive Finite Element Approximations of Elliptic Obstacle Problems

    Dietrich Braess, Carsten Carstensen & Ronald H.W. Hoppe
    2018-08-07
    33044 3360 Pages:148-169
  • Error Analysis of Virtual Element Methods for the Time-Dependent Poisson-Nernst-Planck Equations

    Ying Yang, Ya Liu, Yang Liu, Shi Shu
    2024-11-21
    15973 1484 Pages:731-770
  • A Simple Error Estimate of Discontinuous Galerkin Methods for Elliptic Equations with Low Regularity

    Kaifang Liu
    2025-11-26
    43 50
  • The Mortar Element Method for a Nonlinear Biharmonic Equation

    Zhong-Ci Shi & Xue-Jun Xu
    2005-10-02
    33559 3390 Pages:537-560
  • A Posteriori Error Estimates for Local $C^0$ Discontinuous Galerkin Methods for Kirchhoff Plate Bending Problems

    Yifeng Xu, Jianguo Huang & Xuehai Huang
    2021-07-01
    37281 4377 Pages:665-686 Open-access
  • Convergence of Adaptive Edge Element Methods for the 3D Eddy Currents Equations

    R.H.W. Hoppe & J. Schöberl
    2018-08-07
    33680 3281 Pages:657-676
  • Optimal Point-Wise Error Estimate of a Compact Finite Difference Scheme for the Coupled Nonlinear Schrödinger Equations

    Tingchun Wang
    2018-08-22
    37373 4287 Pages:58-74
  • An $hp$-FEM for Singularly Perturbed Transmission Problems

    Serge Nicaise, Christos Xenophontos
    2018-08-22
    35831 2868 Pages:152-168
  • Graded Meshes for Higher Order FEM

    Hans-Görg Roos, L. Teofanov, Zorica Uzelac
    2018-08-22
    41302 4619 Pages:1-16
  • Finite Volume Superconvergence Approximation for One-Dimensional Singularly Perturbed Problems

    Waixiang Cao, Zhimin Zhang & Qingsong Zou
    2018-08-22
    37161 3846 Pages:488-508
  • On the Finite Element Approximation of Systems of ​Reaction-Diffusion Equations by $p/hp$ Methods

    Christos Xenophontos & Lisa Oberbroeckling
    2018-08-22
    35010 3481 Pages:386-400
  • Analysis of Arbitrary High Order Spectral Volume Method for Hyperbolic Conservation Laws Over Rectangular Meshes

    Waixiang Cao, Zhimin Zhang, Qingsong Zou
    2025-09-05
    136 31
  • Penalty-Factor-Free Stabilized Nonconforming Finite Elements for Solving Stationary Navier-Stokes Equations

    Linshuang He, Minfu Feng, Qiang Ma
    2022-10-06
    282 1 Pages:728-755
  • A New Coupled Subdiffusion Model and Its Partitioned Time-Stepping Algorithm

    Zheng Li, Yuting Xiang, Hui Xu, Jiaping Yu, Haibiao Zheng
    2025-05-09
    120 30
  • The Pressure-Robust Weak Galerkin Finite Element Method for Stokes-Darcy Problem

    Jiwei Jia, Lin Yang, Qilong Zhai
    2024-12-23
    114 26
  • A Stabilizer Free Weak Galerkin Finite Element Method for Brinkman Equations

    Haoning Dang, Qilong Zhai, Ran Zhang, Hui Peng
    2024-11-18
    13958 1259 Pages:1-17
  • A Coupled Method Combining Crouzeix-Raviart Nonconforming and Node Conforming Finite Element Spaces for Biot Consolidation Model

    Yuping Zeng, Mingchao Cai, Liuqiang Zhong
    2024-04-09
    26302 2170 Pages:911-931
  • Finite Difference Methods for the Heat Equation with a Nonlocal Boundary Condition

    V. Thomée, A.S. Vasudeva Murthy
    2018-08-22
    39815 4442 Pages:17-32
  • An Anisotropic Locking-Free Nonconforming Triangular Finite Element Method for Planar Linear Elasticity Problem

    Dongyang Shi & Chao Xu
    2018-08-22
    35707 4348 Pages:124-138 Open-access
  • Edge-Oriented Hexagonal Elements

    Chao Yang & Jiachang Sun
    2007-08-02
    32789 3462 Pages:430-439
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