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• High Order Mixed Finite Elements with Mass Lumping for Elasticity on Triangular Grids

  Yan Yang, Xiaoping Xie

  2022-02-09

  43228 3666 Pages:227-250

• A Robust Modified Weak Galerkin Finite Element Method for Reaction-Diffusion Equations

  Guanrong Li, Yanping Chen, Yunqing Huang

  2022-02-09

  45046 3911 Pages:68-90

• An Efficient Mapped WENO Scheme Using Approximate Constant Mapping

  Ruo Li, Wei Zhong

  2022-02-09

  44943 3712 Pages:1-41

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

  Yingxia Xi, Xia Ji, Shuo Zhang

  2021-09-10

  46150 2741 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

  47754 2870 Pages:738-772

• The Virtual Element Method for an Elliptic Hemivariational Inequality with Convex Constraint

  Fang Feng, Weimin Han, Jianguo Huang

  2021-06-02

  49641 3017 Pages:589-612

• Generating Layer-Adapted Meshes Using Mesh Partial Differential Equations

  Róisín Hill, Niall Madden

  2021-06-02

  61152 3245 Pages:559-588

• A Novel Numerical Approach to Time-Fractional Parabolic Equations with Nonsmooth Solutions

  Dongfang Li, Weiwei Sun, Chengda Wu

  2021-01-26

  48410 2832 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

  45624 2794 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

  51212 2933 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

  43943 2802 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

  43957 2891 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

  45845 2893 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

  44503 4218 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

  47084 2810 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

  43873 2748 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

  42209 2862 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

  42600 2900 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

  41113 4393 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

  41723 2742 Pages:604-617

• Numerical Analysis of Partially Penalized Immersed Finite Element Methods for Hyperbolic Interface Problems

  Qing Yang

  2018-09-17

  41124 2857 Pages:272-298

• Adaptive Dimensionality-Reduction for Time-Stepping in Differential and Partial Differential Equations

  Xing Fu & J. Nathan Kutz

  2017-11-02

  39316 2657 Pages:872-894

• Fully Discrete Galerkin Finite Element Method for the Cubic Nonlinear Schrödinger Equation

  Jianyun Wang & Yunqing Huang

  2017-10-01

  38281 2636 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

  39156 2676 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

  39786 4038 Pages:22-43

• The Gradient Superconvergence of Bilinear Finite Volume Element for Elliptic Problems

  Tie Zhang & Lixin Tang

  2016-09-01

  39485 2693 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

  39179 2719 Pages:549-581