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

  DOI:10.4208/cicp.070210.020610a

  38393 3805 pp. 363-389

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

  Hojun You, Juhyun Kim, Chongam Kim

  2023-05-12

  DOI:10.4208/cicp.OA-2022-0253

  36257 2996 pp. 992-1034

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

  Hong Luo, Luqing Luo, Robert Nourgaliev

  2012-12-01

  DOI:10.4208/cicp.250911.030212a

  42217 287944 pp. 1495-1519

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

  Tilo Arens, Simon N. Chandler-Wilde, John A. DeSanto

  2020-07-31

  38928 3882 pp. 1010-1042

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

  Wenjun Ying

  2020-07-31

  DOI:10.4208/cicp.2018.hh80.05

  44187 3255 pp. 1196-1220

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

  Qin Li, Pengxin Liu, Hanxin Zhang

  2020-07-30

  DOI:10.4208/cicp.150215.250515a

  39775 3261 pp. 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

  DOI:10.4208/cicp.OA-2025-0124

  4088 200 pp. 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

  DOI:10.4208/cicp.OA-2022-0284

  36494 2927 pp. 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

  DOI:10.4208/cicp.OA-2023-0294

  11909 813 pp. 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

  DOI:10.4208/cicp.060915.301215a

  40079 3200 pp. 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

  DOI:10.4208/cicp.OA-2024-0013

  4052 232 pp. 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

  DOI:10.4208/cicp.050615.300816a

  42324 3268 pp. 763-781

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

  Jinye Shen, Heng Dai, Weizhang Huang

  2024-07-29

  DOI:10.4208/cicp.OA-2023-0214

  24240 1823 pp. 248-273

• Finite Neuron Method and Convergence Analysis

  Jinchao Xu

  2020-11-18

  DOI:10.4208/cicp.OA-2020-0191

  70604 3843 pp. 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

  DOI:10.4208/cicp.OA-2020-0084

  49388 4694 pp. 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

  DOI:10.4208/cicp.OA-2023-0075

  32040 2870 pp. 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

  DOI:10.4208/cicp.OA-2021-0164

  45681 3293 pp. 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

  DOI:10.4208/cicp.071211.070912a

  41039 4334 pp. 370-392

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

  Tiangang Cui, Zhongjian Wang, Zhiwen Zhang

  2023-11-08

  DOI:10.4208/cicp.OA-2022-0272

  30966 2628 pp. 934-954

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

  Jianguo Huang, Haohao Wu, Tao Zhou

  2026-02-15

  DOI:10.4208/cicp.OA-2024-0310

  4085 195 pp. 553-577

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

  Yaning Xie, Shuwang Li, Wenjun Ying

  2023-04-28

  DOI:10.4208/cicp.OA-2022-0236

  32924 3086 pp. 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

  DOI:10.4208/cicp.270913.020414a

  39710 3969 pp. 571-598

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

  Wei Leng, Lili Ju

  2020-12-02

  DOI:10.4208/cicp.OA-2020-0169

  47853 3363 pp. 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

  DOI:10.4208/cicp.OA-2023-0229

  10343 703 pp. 643-674

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

  Jianguo Huang, Haoqin Wang, Tao Zhou

  2022-03-03

  DOI:10.4208/cicp.OA-2021-0176

  50710 3358 pp. 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

  DOI:10.4208/cicp.OA-2020-0036

  47831 3014 pp. 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

  DOI:10.4208/cicp.OA-2023-0020

  39207 2950 pp. 1381-1408