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  • Uniform Superconvergence Analysis of a Two-Grid Mixed Finite Element Method for the Time-Dependent Bi-Wave Problem Modeling $D$-Wave Superconductors

    Yanmi Wu, Dongyang Shi
    2024-01-16
    25396 2084 Pages:415-431
  • Discrete Energy Analysis of the Third-Order Variable-Step BDF Time-Stepping for Diffusion Equations

    Hong-lin Liao, Tao Tang, Tao Zhou
    2022-11-15
    295539 2877 Pages:325-344
  • 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
  • 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
  • Unconditional Superconvergent Analysis of Quasi-Wilson Element for Benjamin-Bona-Mahoney Equation

    Xiangyu Shi, Linzhang Lu
    2022-12-01
    296952 3578 Pages:94-106
  • A Two-Grid Finite Element Approximation for Nonlinear Time Fractional Two-Term Mixed Sub-Diffusion and Diffusion Wave Equations

    Yanping Chen, Qiling Gu, Qingfeng Li, Yunqing Huang
    2022-11-08
    302278 3757 Pages:936-954
  • A Second Order Unconditionally Convergent Finite Element Method for the Thermal Equation with Joule Heating Problem

    Xiaonian Long, Qianqian Ding
    2022-10-06
    44935 3104 Pages:354-372
  • Unconditionally Optimal Error Estimates of the Bilinear-Constant Scheme for Time-Dependent Navier-Stokes Equations

    Huaijun Yang, Dongyang Shi
    2021-11-19
    42473 3760 Pages:127-146
  • A Fast Compact Difference Method for Two-Dimensional Nonlinear Space-Fractional Complex Ginzburg-Landau Equations

    Lu Zhang, Qifeng Zhang, Hai-Wei Sun
    2021-10-15
    41380 2940 Pages:708-732
  • Numerical Analysis of Crank-Nicolson Scheme for the Allen-Cahn Equation

    Qianqian Chu, Guanghui Jin, Jihong Shen, Yuanfeng Jin
    2021-10-15
    42021 3107 Pages:655-665
  • Strong Convergence of a Fully Discrete Finite Element Method for a Class of Semilinear Stochastic Partial Differential Equations with Multiplicative Noise

    Xiaobing Feng, Yukun Li, Yi Zhang
    2021-07-05
    40084 2822 Pages:574-598
  • Sub-Optimal Convergence of Discontinuous Galerkin Methods with Central Fluxes for Linear Hyperbolic Equations with Even Degree Polynomial Approximations

    Yong Liu, Chi-Wang Shu, Mengping Zhang
    2021-07-05
    41428 3184 Pages:518-537
  • Error Estimates for Two-Scale Composite Finite Element Approximations of Nonlinear Parabolic Equations

    Tamal Pramanick
    2021-07-05
    39669 2936 Pages:493-517
  • An Extended Block Restricted Isometry Property for Sparse Recovery with Non-Gaussian Noise

    Klara Leffler, Zhiyong Zhou, Jun Yu
    2021-07-01
    44062 4089 Pages:827-838
  • A Balanced Oversampling Finite Element Method for Elliptic Problems with Observational Boundary Data

    Zhiming Chen, Rui Tuo, Wenlong Zhang
    2020-02-20
    44400 3011 Pages:355-374
  • Robust Inexact Alternating Optimization for Matrix Completion with Outliers

    Ji Li, Jian-Feng Cai, Hongkai Zhao
    2020-02-20
    44827 4563 Pages:337-354 Open-access
  • Superconvergence Analysis of the Polynomial Preserving Recovery for Elliptic Problems with Robin Boundary Conditions

    Yu Du, Haijun Wu, Zhimin Zhang
    2020-02-06
    42389 4375 Pages:223-238
  • Local Pressure Correction for the Stokes System

    Malte Braack, Utku Kaya
    2020-02-06
    43444 4832 Pages:125-141
  • A Fourth-Order Compact and Conservative Difference Scheme for the Generalized Rosenau-Korteweg de Vries Equation in Two Dimensions

    Jue Wang, Qingnan Zeng
    2019-04-29
    39761 2927 Pages:541-555
  • Numerical Analysis of Elliptic Hemivariational Inequalities for Semipermeable Media

    Weimin Han, Ziping Huang, Cheng Wang, Wei Xu
    2019-04-29
    40424 2895 Pages:506-523
  • Alternating Direction Implicit Schemes for the Two-Dimensional Time Fractional Nonlinear Super-Diffusion Equations

    Jianfei Huang, Yue Zhao, Sadia Arshad, Kuangying Li, Yifa Tang
    2019-04-29
    41939 2970 Pages:297-315
  • 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
  • Implicit-Explicit Scheme for the Allen-Cahn Equation Preserves the Maximum Principle

    Tao Tang, Jiang Yang
    2018-08-22
    42468 2984 Pages:451-461
  • 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
  • Graded Meshes for Higher Order FEM

    Hans-Görg Roos, L. Teofanov, Zorica Uzelac
    2018-08-22
    41302 4619 Pages:1-16
  • Uniformly Convergent Nonconforming Element for 3-D Fourth Order Elliptic Singular Perturbation Problem

    Hongru Chen & Shaochun Chen
    2021-07-01
    36760 3581 Pages:687-695
  • 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
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