Search Results

• A Time Variable Filter Approach for the Fluid-Fluid Interaction

  Wei Li, Pengzhan Huang, Yinnian He

  2025-05-29

  9078 557 Pages:1417-1451

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

  Ping Zeng, Guanyu Zhou

  2024-05-06

  28105 2088 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

  31489 2527 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

  43692 3313 Pages:516-547

• Grad-div Stabilized Finite Element Schemes for the Fluid-Fluid Interaction Model

  Wei Li, Pengzhan Huang, Yinnian He

  2021-05-25

  49198 3268 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

  48253 3807 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

  45690 3352 Pages:1039-1070

• The Weak Galerkin Method for Linear Hyperbolic Equation

  Qilong Zhai, Ran Zhang, Nolisa Malluwawadu, Saqib Hussain

  2018-09-17

  46021 5209 Pages:152-166

• An Exponential-Free Runge–Kutta Framework for Developing Third-Order Unconditionally Energy Stable Schemes for the Cahn–Hilliard Equation

  Haifeng Wang, Jingwei Sun, Hong Zhang, Xu Qian, Songhe Song

  2026-04-10

  123 27 Pages:199-238

• Non-Iterative Parallel Schwarz Domain Decomposition Algorithms for a Two-Domain Parabolic Problem

  Minjie Shen, Danping Yang, Haibiao Zheng

  2025-09-18

  4537 351 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

  4572 375 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

  15863 1013 Pages:104-136

• A New Coupled Complex Boundary Method for Bioluminescence Tomography

  Rongfang Gong, Xiaoliang Cheng, Weimin Han

  2018-04-03

  40728 5278 Pages:226-250

• ADI-FDTD Method for Two-Dimensional Transient Electromagnetic Problems

  Wanshan Li, Yile Zhang, Yau Shu Wong, Dong Liang

  2018-04-03

  40531 4949 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

  38536 4194 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

  28524 2038 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

  43773 3749 Pages:41-82

• Deep Nitsche Method: Deep Ritz Method with Essential Boundary Conditions

  Yulei Liao, Pingbing Ming

  2021-03-24

  53497 3563 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

  46319 4276 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

  47717 4418 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

  48582 3309 Pages:1053-1075

• The Weak Galerkin Method for Elliptic Eigenvalue Problems

  Qilong Zhai, Hehu Xie, Ran Zhang, Zhimin Zhang

  2019-02-25

  48397 5527 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

  49134 3715 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

  46499 5640 Pages:266-288

• Efficient Numerical Computation of Time-Fractional Nonlinear Schrödinger Equations in Unbounded Domain

  Jiwei Zhang, Dongfang Li, Xavier Antoine

  2018-09-01

  46813 5395 Pages:218-243

• An Adaptive Finite Element PML Method for the Acoustic-Elastic Interaction in Three Dimensions

  Xue Jiang, Peijun Li

  2017-11-02

  43002 3541 Pages:1486-1507

• Analysis of Geometrically Consistent Schemes with Finite Range Interaction

  Hongliang Li, Pingbing Ming

  2017-11-02

  42470 3633 Pages:1333-1361