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  • The Positivity-Preserving Finite Volume Coupled with Finite Element Method for the Keller-Segel-Navier-Stokes Model

    Ping Zeng, Guanyu Zhou
    2024-05-06
    27860 2014 Pages:1073-1119
  • A Multigrid Discretization of Discontinuous Galerkin Method for the Stokes Eigenvalue Problem

    Ling Ling Sun, Hai Bi, Yidu Yang
    2023-12-11
    31275 2479 Pages:1391-1419
  • An LDG Method for Stochastic Cahn-Hilliard Type Equation Driven by General Multiplicative Noise Involving Second-Order Derivative

    Li Zhou, Yunzhang Li
    2022-01-27
    43484 3252 Pages:516-547
  • Grad-div Stabilized Finite Element Schemes for the Fluid-Fluid Interaction Model

    Wei Li, Pengzhan Huang, Yinnian He
    2021-05-25
    48989 3202 Pages:536-566
  • On Accurately Resolving Detonation Dynamics by Adaptive Finite Volume Method on Unstructured Grids

    Yana Di, Guanghui Hu, Ruo Li, Feng Yang
    2020-12-02
    48036 3684 Pages:445-471 Open-access
  • Robust Globally Divergence-Free Weak Galerkin Finite Element Methods for Natural Convection Problems

    Yihui Han, Xiaoping Xie
    2019-07-02
    45496 3297 Pages:1039-1070
  • The Weak Galerkin Method for Linear Hyperbolic Equation

    Qilong Zhai, Ran Zhang, Nolisa Malluwawadu & Saqib Hussain
    2018-09-17
    45832 5101 Pages:152-166
  • Non-Iterative Parallel Schwarz Domain Decomposition Algorithms for a Two-Domain Parabolic Problem

    Minjie Shen, Danping Yang, Haibiao Zheng
    2025-09-18
    4090 258 Pages:1552-1584
  • Adaptive Basis-Inspired Deep Neural Network for Solving Partial Differential Equations with Localized Features

    Ke Li, Yaqin Zhang, Yunqing Huang, Chenyue Xie, Xueshuang Xiang
    2025-09-18
    4093 279 Pages:1453-1497
  • A Study of Source Term Estimators in Coupled Finite-Volume/Monte-Carlo Methods with Applications to Plasma Edge Simulations in Nuclear Fusion: Analog and Collision Estimators

    Bert Mortier, Martine Baelmans, Giovanni Samaey
    2025-01-22
    195 110 Pages:104-136
  • A New Coupled Complex Boundary Method for Bioluminescence Tomography

    Rongfang Gong, Xiaoliang Cheng & Weimin Han
    2018-04-03
    40572 5161 Pages:226-250
  • ADI-FDTD Method for Two-Dimensional Transient Electromagnetic Problems

    Wanshan Li, Yile Zhang, Yau Shu Wong & Dong Liang
    2018-04-03
    40384 4793 Pages:94-123
  • Adaptive Stroud Stochastic Collocation Method for Flow in Random Porous Media via Karhunen-Loève Expansio

    Yan Ding, Tiejun Li, Dongxiao Zhang & Pingwen Zhang
    2008-04-01
    38380 4074 Pages:102-123
  • Efficient High-Order Backward Difference Formulae for Cahn-Hilliard Equation with the Gradient Flow in $H^{−α}$

    Zhongqin Xue, Guanghui Wen, Zhimin Zhang, Xuan Zhao
    2024-06-14
    28269 1947 Pages:1263-1286
  • Some Random Batch Particle Methods for the Poisson-Nernst-Planck and Poisson-Boltzmann Equations

    Lei Li, Jian-Guo Liu, Yijia Tang
    2022-07-06
    43579 3653 Pages:41-82
  • Deep Nitsche Method: Deep Ritz Method with Essential Boundary Conditions

    Yulei Liao, Pingbing Ming
    2021-03-24
    53158 3424 Pages:1365-1384
  • Analysis and Application of Single Level, Multi-Level Monte Carlo and Quasi-Monte Carlo Finite Element Methods for Time-Dependent Maxwell's Equations with Random Inputs

    Xiang Wang, Jichun Li, Zhiwei Fang
    2020-11-26
    46113 4165 Pages:211-236
  • Full Discretization Scheme for the Dynamics of Elliptic Membrane Shell Model

    Xiaoqin Shen, Qian Yang, Lin Bai, Kaitai Li
    2020-11-26
    47515 4288 Pages:186-210
  • Decoupled, Energy Stable Numerical Scheme for the Cahn-Hilliard-Hele-Shaw System with Logarithmic Flory-Huggins Potential

    Hong-En Jia, Ya-Yu Guo, Ming Li, Yunqing Huang, Guo-Rui Feng
    2020-02-23
    48379 3215 Pages:1053-1075
  • The Weak Galerkin Method for Elliptic Eigenvalue Problems

    Qilong Zhai, Hehu Xie, Ran Zhang & Zhimin Zhang
    2019-02-25
    48157 5348 Pages:160-191
  • A Novel Second-Order Scheme for the Molecular Beam Epitaxy Model with Slope Selection

    Lizhen Chen, Jia Zhao & Yuezheng Gong
    2018-12-08
    48949 3633 Pages:1024-1044
  • An Adaptive Finite Element PML Method for the Acoustic Scattering Problems in Layered Media

    Xue Jiang, Yu Qi & Jianhua Yuan
    2018-09-01
    46236 5489 Pages:266-288
  • Efficient Numerical Computation of Time-Fractional Nonlinear Schrödinger Equations in Unbounded Domain

    Jiwei Zhang, Dongfang Li & Xavier Antoine
    2018-09-01
    46615 5292 Pages:218-243
  • An Adaptive Finite Element PML Method for the Acoustic-Elastic Interaction in Three Dimensions

    Xue Jiang & Peijun Li
    2017-11-02
    42836 3493 Pages:1486-1507
  • Analysis of Geometrically Consistent Schemes with Finite Range Interaction

    Hongliang Li & Pingbing Ming
    2017-11-02
    42318 3566 Pages:1333-1361
  • Solving Maxwell's Equation in Meta-Materials by a CG-DG Method

    Ziqing Xie, Jiangxing Wang, Bo Wang & Chuanmiao Chen
    2020-07-31
    41726 3264 Pages:1242-1264
  • The Mass-Preserving S-DDM Scheme for Two-Dimensional Parabolic Equations

    Zhongguo Zhou & Dong Liang
    2018-04-03
    41440 3197 Pages:411-441
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