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

  46715 4813 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

  1567 101 Pages:1453-1502

• An Adaptive Finite Element Solver for Demagnetization Field Calculation

  Lei Yang, Guanghui Hu

  2019-06-24

  48874 3317 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

  48178 4257 Pages:1376-1397

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

  Shijie Qin, Shijun Liao

  2023-06-21

  38465 3094 Pages:1191-1215

• A Spectral Split-Step Padé Method for Guided Wave Propagation

  Daniel Walsken, Pavel Petrov, Matthias Ehrhardt

  2026-01-30

  956 64 Pages:1602-1615

• 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

  1561 104 Pages:1421-1452

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

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

  2018-05-05

  41074 3161 Pages:499-516

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

  Hilmar Wobker, Stefan Turek

  2018-08-10

  44760 5099 Pages:29-55

• Unconditionally Energy-Dissipation- and Maximum-Bound-Principle-Preserving Scheme for the Time-Fractional Allen-Cahn Equation

  Dongdong Hu, Haorong Huang, Yayun Fu, Minghua Chen

  2025-12-22

  1267 93 Pages:1503-1530

• 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

  11675 905 Pages:804-839

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

  Zhiqiang Xin, Chuijie Wu

  2021-07-01

  43669 4525 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

  27656 2887 Pages:608-635

• A Three-Dimensional Mass-Conserved Multiphase Lattice Boltzmann Flux Solver for Incompressible Flows with Large Density and Viscosity Ratios

  Ehsan Azadi, Mohammad Taeibi Rahni

  2026-01-05

  1141 79 Pages:1531-1553

• 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

  44959 3253 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

  45448 3420 Pages:360-380

• Rectangular Lattice Boltzmann Equation for Gaseous Microscale Flow

  Junjie Ren, Ping Guo, Zhaoli Guo

  2018-05-05

  41053 3068 Pages:306-330

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

  Zhiyuan Sun, Jun Liu, Pei Wang

  2020-04-10

  45726 3358 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

  49734 3323 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

  43550 4399 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

  42939 5175 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

  300624 4018 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

  304804 3998 Pages:1225-1245

• A Simplified Lattice Boltzmann Method for Turbulent Flow Simulation

  Lan Jiang, Xiangyu Gu, Jie Wu

  2022-06-13

  44081 3693 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

  14643 1262 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

  7304 404 Pages:1841-1866

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

  Ke Zhang, Yiqing Shen

  2025-09-29

  7312 396 Pages:1761-1788