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  • 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
  • Finite Element Analysis of Optimal Control Problem Governed by Stokes Equations with $L^2$-Norm State-Constraints

    Haifeng Niu & Danping Yang
    2018-08-22
    34394 3367 Pages:589-604
  • Optimal Error Analysis of a Hodge-Decomposition Based Finite Element Method for the Ginzburg-Landau Equations in Superconductivity

    Huadong Gao, Wen Xie
    2025-10-30
    4030 233 Pages:1397-1416
  • Numerical Analysis of a Nonlinear Singularly Perturbed Delay Volterra Integro-Differential Equation on an Adaptive Grid

    Libin Liu, Yanping Chen, Ying Liang
    2022-10-06
    37391 2984 Pages:258-274
  • Superconvergence Analysis of a BDF-Galerkin FEM for the Nonlinear Klein-Gordon-Schrödinger Equations with Damping Mechanism

    Dongyang Shi, Houchao Zhang
    2022-11-15
    301131 3107 Pages:224-245
  • 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
  • Richardson Extrapolation and Defect Correction of Finite Element Methods for Optimal Control Problems

    Tang Liu, Ningning Yan & Shuhua Zhang
    2018-08-22
    34570 3821 Pages:55-71
  • 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
  • Variational Discretization for Optimal Control Governed by Convection Dominated Diffusion Equations

    Michael Hinze, Ningning Yan & Zhaojie Zhou
    2018-08-07
    33486 3647 Pages:237-253
  • Approximation of Nonconforming Quasi-Wilson Element for Sine-Gordon Equations

    Dongyang Shi & Ding Zhang
    2018-08-22
    36243 3507 Pages:271-282
  • Optimal Error Estimates for Nédélec Edge Elements for Time-Harmonic Maxwell's Equations

    Liuqiang Zhong, Shi Shu, Gabriel Wittum & Jinchao Xu
    2018-08-07
    34779 3672 Pages:563-572
  • 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 Low Order Nonconforming Mixed Finite Element Method for Non-Stationary Incompressible Magnetohydrodynamics System

    Zhiyun Yu, Dongyang Shi, Huiqing Zhu
    2023-04-25
    38831 3312 Pages:569-587
  • A Stabilized Equal-Order Finite Volume Method for the Stokes Equations

    Wanfu Tian, Liqiu Song & Yonghai Li
    2021-07-01
    36495 3745 Pages:615-628
  • The Mortar Element Method for a Nonlinear Biharmonic Equation

    Zhong-Ci Shi & Xue-Jun Xu
    2005-10-02
    33559 3390 Pages:537-560
  • Max-Norm Estimates for Galerkin Approximations of One-Dimensional Elliptic, Parabolic and Hyperbolic Problems with Mixed Boundary Conditions

    Che Sun
    2021-07-01
    32999 3433 Pages:383-396
  • Mixed Discontinuous Galerkin Method for Quasi-Newtonian Stokes Flows

    Yanxia Qian, Fei Wang, Wenjing Yan
    2024-04-08
    18611 1921 Pages:885-910
  • A Space-Time Trefftz DG Method for the Second Order Time-Dependent Maxwell System in Anisotropic Media

    Long Yuan, Xiaoyu Wang, Xiaoqiang Yue
    2025-01-16
    111 27
  • Error Analysis of Fractional Collocation Methods for Volterra Integro-Differential Equations with Noncompact Operators

    Zheng Ma, Chengming Huang, Anatoly A. Alikhanov
    2024-11-21
    16321 1381 Pages:690-707
  • Adaptive Virtual Element Method for Convection Dominated Diffusion Equations

    Qiming Wang, Zhaojie Zhou
    2024-11-18
    10917 1210 Pages:174-202
  • Unconditionally Optimal Error Analysis of the Second-Order BDF Finite Element Method for the Kuramoto-Tsuzuki Equation

    Yuan Li, Xuewei Cui
    2022-11-15
    301724 3189 Pages:211-223
  • Error Estimates for Two-Scale Composite Finite Element Approximations of Nonlinear Parabolic Equations

    Tamal Pramanick
    2021-07-05
    39669 2936 Pages:493-517
  • A Weak Galerkin Mixed Finite Element Method for Second-Order Elliptic Equations with Robin Boundary Conditions

    Qian Zhang, Ran Zhang
    2018-08-22
    36562 2894 Pages:532-548
  • Graded Meshes for Higher Order FEM

    Hans-Görg Roos, L. Teofanov, Zorica Uzelac
    2018-08-22
    41302 4619 Pages:1-16
  • On $L^2$ Error Estimate for Weak Galerkin Finite Element Methods for Parabolic Problems

    Fuzheng Gao & Lin Mu
    2018-08-22
    37098 4325 Pages:195-204
  • 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
  • Finite Volume Superconvergence Approximation for One-Dimensional Singularly Perturbed Problems

    Waixiang Cao, Zhimin Zhang & Qingsong Zou
    2018-08-22
    37161 3846 Pages:488-508
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