Search Results

• A Parallel, Reconstructed Discontinuous Galerkin Method for the Compressible Flows on Arbitrary Grids

  Hong Luo, Luqing Luo, Amjad Ali, Robert Nourgaliev & Chunpei Cai

  2018-03-27

  38312 3784 Pages:363-389

• Implicit Quadrature-Free Direct Reconstruction Method for Efficient Scale-Resolving Simulations

  Hojun You, Juhyun Kim, Chongam Kim

  2023-05-12

  36140 2956 Pages:992-1034

• A Reconstructed Discontinuous Galerkin Method for the Euler Equations on Arbitrary Grids

  Hong Luo, Luqing Luo & Robert Nourgaliev

  2012-12-01

  42147 287904 Pages:1495-1519

• On Integral Equation and Least Squares Methods for Scattering by Diffraction Gratings

  T. Arens, S. N. Chandler-Wilde & J. A. DeSanto

  2020-07-31

  38853 3856 Pages:1010-1042

• A Cartesian Grid-Based Boundary Integral Method for an Elliptic Interface Problem on Closely Packed Cells

  Wenjun Ying

  2020-07-31

  44078 3224 Pages:1196-1220

• Interior Penalty Discontinuous Galerkin Based Isogeometric Analysis for Allen-Cahn Equations on Surfaces

  Futao Zhang, Yan Xu, Falai Chen & Ruihan Guo

  2020-07-30

  39695 3236 Pages:1380-1416

• A Novel High-Order Shock-Capturing Limiter for RKDG Method on Unstructured Meshes via TENO Selection Strategies

  Haohan Huang, Tian Liang, Mingduo Yuan, Lin Fu

  2026-02-15

  3822 156 Pages:387-416

• An Efficient Neural-Network and Finite-Difference Hybrid Method for Elliptic Interface Problems with Applications

  Wei-Fan Hu, Te-Sheng Lin, Yu-Hau Tseng, Ming-Chih Lai

  2023-05-12

  36361 2889 Pages:1090-1105

• Deep Learning-Based Computational Method for Soft Matter Dynamics: Deep Onsager-Machlup Method

  Zhihao Li, Boyi Zou, Haiqin Wang, Jian Su, Dong Wang, Xinpeng Xu

  2025-09-02

  11749 752 Pages:353-382

• Fast Solution of Three-Dimensional Modified Helmholtz Equations by the Method of Fundamental Solutions

  Ji Lin, C. S. Chen & Chein-Shan Liu

  2018-04-04

  39996 3156 Pages:512-533

• A Multiscale Algorithm to Drastically Reduce Computational Times when Simulating Liquid/Solid Interaction at Atomic Resolution with Realistic Hydrodynamics Effects

  Fan Li, Ivan Korotkin, Sergey Karabasov

  2026-02-15

  3757 146 Pages:475-512

• Modification and Numerical Method for the Jiles-Atherton Hysteresis Model

  Guangming Xue, Peilin Zhang, Zhongbo He, Dongwei Li, Zhaoshu Yang & Zhenglong Zhao

  2018-04-09

  42220 3221 Pages:763-781

• A Moving Mesh Finite Element Method for Bernoulli Free Boundary Problems

  Jinye Shen, Heng Dai, Weizhang Huang

  2024-07-29

  24116 1732 Pages:248-273

• Finite Neuron Method and Convergence Analysis

  Jinchao Xu

  2020-11-18

  70404 3799 Pages:1707-1745

• An Augmented Lagrangian Uzawa Iterative Method for Solving Double Saddle-Point Systems with Semidefinite (2,2) Block and Its Application to DLM/FD Method for Elliptic Interface Problems

  Cheng Wang, Pengtao Sun

  2021-04-30

  49255 4582 Pages:124-143

• Bi-Orthogonal fPINN: A Physics-Informed Neural Network Method for Solving Time-Dependent Stochastic Fractional PDEs

  Lei Ma, Rongxin Li, Fanhai Zeng, Ling Guo, George Em Karniadakis

  2023-11-08

  31843 2797 Pages:1133-1176

• A Continuous Finite Element Method with Homotopy Vanishing Viscosity for Solving the Static Eikonal Equation

  Yong Yang, Wenrui Hao, Yong-Tao Zhang

  2022-05-06

  45561 3252 Pages:1402-1433

• A Sub-Grid Structure Enhanced Discontinuous Galerkin Method for Multiscale Diffusion and Convection-Diffusion Problems

  Eric T. Chung & Wing Tat Leung

  2014-08-05

  40960 4305 Pages:370-392

• A Variational Neural Network Approach for Glacier Modelling with Nonlinear Rheology

  Tiangang Cui, Zhongjian Wang, Zhiwen Zhang

  2023-11-08

  30842 2583 Pages:934-954

• Adaptive Neural Network Basis Methods for Partial Differential Equations with Low-Regular Solutions

  Jianguo Huang, Haohao Wu, Tao Zhou

  2026-02-15

  3794 129 Pages:553-577

• A Fourth-Order Kernel-Free Boundary Integral Method for Interface Problems

  Yaning Xie, Shuwang Li, Wenjun Ying

  2023-04-28

  32807 3047 Pages:764-794

• An Adaptive ANOVA-Based Data-Driven Stochastic Method for Elliptic PDEs with Random Coefficient

  Zhiwen Zhang, Xin Hu, Thomas Y. Hou, Guang Lin & Mike Yan

  2014-12-08

  39606 3927 Pages:571-598

• A Diagonal Sweeping Domain Decomposition Method with Source Transfer for the Helmholtz Equation

  Wei Leng, Lili Ju

  2020-12-02

  47730 3315 Pages:357-398

• Virtual Body-Fitted Grid-Based Immersed Boundary Velocity Correction Method for Simulation of Incompressible Flows with Moving Boundaries

  Yinjie Du, Liming Yang, Yang Xiao, Yuxin Song, Chang Shu

  2025-09-02

  10215 656 Pages:643-674

• An Augmented Lagrangian Deep Learning Method for Variational Problems with Essential Boundary Conditions

  Jianguo Huang, Haoqin Wang, Tao Zhou

  2022-03-03

  50575 3314 Pages:966-986

• An Efficient Finite Element Method with Exponential Mesh Refinement for the Solution of the Allen-Cahn Equation in Non-Convex Polygons

  Emine Celiker, Ping Lin

  2020-08-27

  47735 2983 Pages:1536-1560

• Solution Remapping Method with Lower Bound Preservation for Navier-Stokes Equations in Aerodynamic Shape Optimization

  Bin Zhang, Weixiong Yuan, Kun Wang, Jufang Wang, Tiegang Liu

  2023-06-06

  39106 2918 Pages:1381-1408