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  • Order Reduced Schemes for the Fourth Order Eigenvalue Problems on Multi-Connected Planar Domains

    Yingxia Xi, Xia Ji, Shuo Zhang
    2021-09-10
    46051 2696 Pages:920-944
  • A Linearized Spectral-Galerkin Method for Three-Dimensional Riesz-Like Space Fractional Nonlinear Coupled Reaction-Diffusion Equations

    Shimin Guo, Wenjing Yan, Liquan Mei, Ying Wang, Lingling Wang
    2021-06-02
    47662 2841 Pages:738-772
  • The Virtual Element Method for an Elliptic Hemivariational Inequality with Convex Constraint

    Fang Feng, Weimin Han, Jianguo Huang
    2021-06-02
    49547 2986 Pages:589-612
  • Generating Layer-Adapted Meshes Using Mesh Partial Differential Equations

    Róisín Hill, Niall Madden
    2021-06-02
    61053 3217 Pages:559-588
  • A Novel Numerical Approach to Time-Fractional Parabolic Equations with Nonsmooth Solutions

    Dongfang Li, Weiwei Sun, Chengda Wu
    2021-01-26
    48296 2799 Pages:355-376
  • Multi-Level Monte Carlo Path Integral Molecular Dynamics for Thermal Average Calculation in the Nonadiabatic Regime

    Xiaoyu Lei, Zhennan Zhou
    2021-01-26
    45549 2761 Pages:321-354
  • A Two-Grid Algorithm of Fully Discrete Galerkin Finite Element Methods for a Nonlinear Hyperbolic Equation

    Kang Li, Zhijun Tan
    2020-12-02
    51134 2906 Pages:1050-1067
  • An Improved Hybrid Adjoint Method in External Aerodynamics Using Variational Technique for the Boundary Integral Based Optimal Objective Function Gradient

    Asma Farooqi, Riaz Ahmad, Zhenping Feng
    2020-03-16
    43884 2780 Pages:689-718
  • Multidomain Legendre-Galerkin Least-Squares Method for Linear Differential Equations with Variable Coefficients

    Yonghui Qin, Yanping Chen, Yunqing Huang, Heping Ma
    2020-03-16
    43860 2854 Pages:665-688
  • Two-Grid Finite Element Method with Crank-Nicolson Fully Discrete Scheme for the Time-Dependent Schrödinger Equation

    Jianyun Wang, Jicheng Jin, Zhikun Tian
    2020-03-09
    45757 2867 Pages:334-352
  • A Well-Conditioned, Nonconforming Nitsche's Extended Finite Element Method for Elliptic Interface Problems

    Xiaoxiao He, Fei Song, Weibing Deng
    2020-03-06
    44422 4168 Pages:99-130
  • A Hybridized Weak Galerkin Finite Element Method for Incompressible Stokes Equations

    Qianru Zhang, Haopeng Kuang, Xiuli Wang, Qilong Zhai
    2019-10-12
    47005 2784 Pages:1012-1038
  • A Weak Galerkin Finite Element Method for the Elliptic Variational Inequality

    Hui Peng, Xiuli Wang, Qilong Zhai & Ran Zhang
    2019-04-22
    43801 2720 Pages:923-941
  • Optimal Rate Convergence Analysis of a Second Order Numerical Scheme for the Poisson-Nernst-Planck System

    Jie Ding, Cheng Wang & Shenggao Zhou
    2018-12-17
    42117 2834 Pages:607-626
  • A Reformulated Convex and Selective Variational Image Segmentation Model and Its Fast Multilevel Algorithm

    Abdul K. Jumaat & Ke Chen
    2018-12-17
    42515 2872 Pages:403-437
  • A Posteriori Error Control for Three Typical Force-Based Atomistic-to-Continuum Coupling Methods for an Atomistic Chain

    Hao Wang, Shaohui Liu & Feng Yang
    2018-09-18
    41034 4327 Pages:233-264
  • Numerical Approximation to a Stochastic Parabolic PDE with Weak Galerkin Method

    Hongze Zhu, Yongkui Zou, Shimin Chai & Chenguang Zhou
    2018-09-17
    41628 2711 Pages:604-617
  • Numerical Analysis of Partially Penalized Immersed Finite Element Methods for Hyperbolic Interface Problems

    Qing Yang
    2018-09-17
    41035 2822 Pages:272-298
  • Adaptive Dimensionality-Reduction for Time-Stepping in Differential and Partial Differential Equations

    Xing Fu & J. Nathan Kutz
    2017-11-02
    39267 2622 Pages:872-894
  • Fully Discrete Galerkin Finite Element Method for the Cubic Nonlinear Schrödinger Equation

    Jianyun Wang & Yunqing Huang
    2017-10-01
    38229 2604 Pages:671-688
  • A Numerical Approximation Structured by Mixed Finite Element and Upwind Fractional Step Difference for Semiconductor Device with Heat Conduction and Its Numerical Analysis

    Yirang Yuan, Qing Yang, Changfeng Li & Tongjun Sun
    2017-10-01
    39104 2655 Pages:541-561
  • A Uniformly Stable Nonconforming FEM Based on Weighted Interior Penalties for Darcy-Stokes-Brinkman Equations

    Peiqi Huang & Zhilin Li
    2018-08-14
    39723 3977 Pages:22-43
  • The Gradient Superconvergence of Bilinear Finite Volume Element for Elliptic Problems

    Tie Zhang & Lixin Tang
    2016-09-01
    39415 2667 Pages:579-594
  • A Two-Grid Finite Element Method for Time-Dependent Incompressible Navier-Stokes Equations with Non-Smooth Initial Data

    Deepjyoti Goswami & Pedro D. Damázio
    2015-08-01
    39117 2685 Pages:549-581
  • A Lions Domain Decomposition Algorithm for Radiation Diffusion Equations on Non-Matching Grids

    Li Yin, Jiming Wu & Zihuan Dai
    2015-08-01
    38943 2708 Pages:530-548
  • An Approximation of Three-Dimensional Semiconductor Devices by Mixed Finite Element Method and Characteristics-Mixed Finite Element Method

    Qing Yang & Yirang Yuan
    2015-08-01
    38883 2692 Pages:356-382
  • Local Multilevel Method on Adaptively Refined Meshes for Elliptic Problems with Smooth Complex Coefficients

    Shishun Li, Xinping Shao & Zhiyong Si
    2015-08-01
    39208 2698 Pages:336-355
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