Search Results

• A Study of Preconditioned Jacobian-Free Newton-Krylov Discontinuous Galerkin Method for Compressible Flows on 3D Hexahedral Grids

  Wanglong Qin, Junwei Cai, Hongqiang Lu, Peter K. Jimack, M. A. Walkley

  2018-09-17

  46432 4665 Pages:261-274 Open-access

• Error Analyses of the Single Hidden Layer Neural Network Based on the Extreme Learning Machine for Solving Differential Equations

  Baixue Xing, Hongliang Liu, Haodong Li, Zhenxing Fu

  2025-11-22

  168 4

• An Adaptive Finite Element Solver for Demagnetization Field Calculation

  Lei Yang, Guanghui Hu

  2019-06-24

  48579 3259 Pages:1048-1063

• Two-Level Hierarchical PCG Methods for the Quadratic FEM Discretizations of 2D Concrete Aggregate Models

  Yingxiong Xiao, Heng Chen and Lingjie Xie

  2021-07-01

  47916 4194 Pages:1376-1397

• A Self-Adaptive Algorithm of the Clean Numerical Simulation (CNS) for Chaos

  Shijie Qin, Shijun Liao

  2023-06-21

  38149 3023 Pages:1191-1215

• Optimizing Thermal Lattice Boltzmann Method on an MT-3000 Processor with Neo-Heterogeneous Strategies

  Qingyang Zhang, Lei Xu, Rongliang Chen, Hang Zou, Bo Yang, Jingzhi Li, Jie Liu

  2025-11-22

  171 2

• Impact of Linear Operator on the Convergence of HAM Solution: A Modified Operator Approach

  S. T. Hussain, S. Nadeem, M. Qasim

  2018-05-05

  40866 3099 Pages:499-516

• Numerical Studies of Vanka-Type Smoothers in Computational Solid Mechanics

  Hilmar Wobker, Stefan Turek

  2018-08-10

  44506 4959 Pages:29-55

• Spatial-Temporal Adaptive-Order Positivity-Preserving WENO Finite Difference Scheme with Relaxed CFL Condition for Euler Equations with Extreme Conditions

  Jia-Le Li, Wai-Sun Don, Cai-Feng Wang, Bao-Shan Wang

  2025-03-14

  11235 796 Pages:804-839

• Topology Optimization of the Caudal Fin of the Three-Dimensional Self-Propelled Swimming Fish

  Zhiqiang Xin, Chuijie Wu

  2021-07-01

  43432 4351 Pages:732-763

• A Two-Level Crank-Nicolson Difference Scheme and Its Richardson Extrapolation Methods for a Magneto-Thermo-Elasticity Model

  Dingwen Deng, Ruyu Zhang

  2024-02-29

  27341 2788 Pages:608-635

• Comparative Study of Implicit and Explicit Immersed Boundary-Lattice Boltzmann Methods for Simulation of Fluid-Structure Interactions

  J. Y. Shao, N. Y. Liu

  2018-09-17

  44700 3168 Pages:1173-1190

• A Class of Weak Galerkin Finite Element Methods for the Incompressible Fluid Model

  Xiuli Wang, Qilong Zhai, Xiaoshen Wang

  2019-01-11

  45214 3360 Pages:360-380

• Rectangular Lattice Boltzmann Equation for Gaseous Microscale Flow

  Junjie Ren, Ping Guo, Zhaoli Guo

  2018-05-05

  40849 2996 Pages:306-330

• A Discontinuous Galerkin Method by Patch Reconstruction for Convection-Diffusion Problems

  Zhiyuan Sun, Jun Liu, Pei Wang

  2020-04-10

  45468 3299 Pages:729-747

• An Upwind Mixed Finite Element Method on Changing Meshes for Positive Semi-Definite Oil-Water Displacement of Darcy-Forchheimer Flow in Porous Media

  Yirang Yuan, Huailing Song, Changfeng Li, Tongjun Sun

  2020-07-24

  49484 3268 Pages:1196-1223

• On the Fully Implicit Solution of a Phase-Field Model for Binary Alloy Solidification in Three Dimensions

  Christopher E. Goodyer, Peter K. Jimack, Andrew M. Mullis, Hongbiao Dong, Yu Xie

  2021-07-01

  43316 4293 Pages:665-684

• A Consistent Characteristic Boundary Condition for General Fluid Mixture and Its Implementation in a Preconditioning Scheme

  Hua-Guang Li, Nan Zong, Xi-Yun Lu, Vigor Yang

  2012-04-01

  42726 5057 Pages:72-92

• A Conservative Upwind Approximation on Block-Centered Difference for Chemical Oil Recovery Displacement Problem

  Changfeng Li, Yirang Yuan, Aijie Cheng, Huailing Song

  2022-08-08

  300375 3940 Pages:1246-1275

• A Parallel Numerical Method for Risk Assessment of Myocardial Infarction During Liver Transplantation: A Case Study

  Zhengzheng Yan, Dandan Shang, Jingzhi Li, Rongliang Chen

  2022-08-08

  304549 3930 Pages:1225-1245

• A Simplified Lattice Boltzmann Method for Turbulent Flow Simulation

  Lan Jiang, Xiangyu Gu, Jie Wu

  2022-06-13

  43769 3605 Pages:1040-1058

• Exploring Acoustic and Sound Wave Propagation Simulations: A Novel Time Advancement Method for Homogeneous and Heterogeneous Media

  Shashi Kumar, Bangaru Ramcharan, Vivek S. Yadav, Ankit Singh, Yogesh G. Bhumkar, Manoj K. Rajpoot

  2024-12-02

  14173 1058 Pages:315-349

• ALM-PINN: An Adaptive Physical Informed Neural Network Optimized by Levenberg-Marquardt for Efficient Solution of Singular Perturbation Problems

  Yinghao Chen, Muzhou Hou, Jingying Hu, Yang Xiao, Jinyong Ying, Ting Zhang

  2025-09-29

  5014 252 Pages:1841-1866

• A Hybrid Reconstruction Method Based upon the Characteristic Fields Decomposition of Compressible Euler Equations

  Ke Zhang, Yiqing Shen

  2025-09-29

  2298 44 Pages:1761-1788

• First-Order, Unconditionally Stable, Fully Decoupled Methods for the Penalty Ericksen-Leslie System with Variable Density

  Zhaowei Wang, Danxia Wang, Hongen Jia, Chenhui Zhang

  2025-10-29

  4466 106 Pages:666-699

• Inexact Iterative WYD Method for Eigenvalue Problems

  Fangyi Zheng, Jianyang Luo, Shuli Sun

  2025-10-14

  2153 90 Pages:93-108

• The Fast Implementation of the ADI-CN Method for a Class of Two-Dimensional Riesz Space-Fractional Diffusion Equations

  Zhiyong Xing, Liping Wen

  2019-06-24

  44375 3171 Pages:942-956