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

  Yan Yang, Xiaoping Xie

  2022-02-09

  43346 3737 Pages:227-250

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

  Guanrong Li, Yanping Chen, Yunqing Huang

  2022-02-09

  45161 3975 Pages:68-90

• An Efficient Mapped WENO Scheme Using Approximate Constant Mapping

  Ruo Li, Wei Zhong

  2022-02-09

  45062 3797 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

  46273 2774 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

  47879 2896 Pages:738-772

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

  Fang Feng, Weimin Han, Jianguo Huang

  2021-06-02

  49752 3046 Pages:589-612

• Generating Layer-Adapted Meshes Using Mesh Partial Differential Equations

  Róisín Hill, Niall Madden

  2021-06-02

  61270 3274 Pages:559-588

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

  Dongfang Li, Weiwei Sun, Chengda Wu

  2021-01-26

  48564 2910 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

  45752 2832 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

  51334 2954 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

  44061 2830 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

  44080 2930 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

  45950 2923 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

  44629 4288 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

  47209 2838 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

  43993 2784 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

  42343 2896 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

  42736 2943 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

  41233 4473 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

  41835 2774 Pages:604-617

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

  Qing Yang

  2018-09-17

  41262 2889 Pages:272-298

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

  Xing Fu, J. Nathan Kutz

  2017-11-02

  39414 2689 Pages:872-894

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

  Jianyun Wang, Yunqing Huang

  2017-10-01

  38398 2672 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

  39284 2710 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

  39889 4101 Pages:22-43

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

  Tie Zhang, Lixin Tang

  2016-09-01

  39590 2727 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. Damazio

  2015-08-01

  39281 2763 Pages:549-581