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

  DOI:10.4208/aamm.OA-2017-0004

  46724 4819 pp. 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

  DOI:10.4208/aamm.OA-2025-0085

  1609 111 pp. 1453-1502

• An Adaptive Finite Element Solver for Demagnetization Field Calculation

  Lei Yang, Guanghui Hu

  2019-06-24

  DOI:10.4208/aamm.OA-2018-0236

  48880 3322 pp. 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

  DOI:10.4208/aamm.OA-2019-0002

  48181 4259 pp. 1376-1397

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

  Shijie Qin, Shijun Liao

  2023-06-21

  DOI:10.4208/aamm.OA-2022-0340

  38469 3101 pp. 1191-1215

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

  Daniel Walsken, Pavel Petrov, Matthias Ehrhardt

  2026-01-30

  DOI:10.4208/aamm.OA-2025-0179

  998 71 pp. 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

  DOI:10.4208/aamm.OA-2025-0046

  1602 108 pp. 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

  DOI:10.4208/aamm.2014.m809

  41076 3165 pp. 499-516

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

  Hilmar Wobker, Stefan Turek

  2018-08-10

  44760 5106 pp. 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

  DOI:10.4208/aamm.OA-2025-0003

  1309 100 pp. 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

  DOI:10.4208/aamm.OA-2023-0306

  11682 907 pp. 804-839

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

  Zhiqiang Xin, Chuijie Wu

  2021-07-01

  DOI:10.4208/aamm.2013.m394

  43674 4532 pp. 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

  DOI:10.4208/aamm.OA-2022-0202

  27663 2890 pp. 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

  DOI:10.4208/aamm.OA-2022-0189

  1181 86 pp. 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

  DOI:10.4208/aamm.OA-2018-0076

  44964 3257 pp. 1173-1190

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

  Xiuli Wang, Qilong Zhai, Xiaoshen Wang

  2019-01-11

  DOI:10.4208/aamm.OA-2018-0115

  45451 3420 pp. 360-380

• Rectangular Lattice Boltzmann Equation for Gaseous Microscale Flow

  Junjie Ren, Ping Guo, Zhaoli Guo

  2018-05-05

  DOI:10.4208/aamm.2014.m672

  41056 3069 pp. 306-330

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

  Zhiyuan Sun, Jun Liu, Pei Wang

  2020-04-10

  DOI:10.4208/aamm.OA-2019-0193

  45729 3361 pp. 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

  DOI:10.4208/aamm.OA-2019-0256

  49744 3325 pp. 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

  DOI:10.4208/aamm.12-12S07

  43557 4405 pp. 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

  DOI:10.4208/aamm.11-m1160

  42943 5179 pp. 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

  DOI:10.4208/aamm.OA-2021-0284

  300627 4023 pp. 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

  DOI:10.4208/aamm.OA-2021-0214

  304808 4003 pp. 1225-1245

• A Simplified Lattice Boltzmann Method for Turbulent Flow Simulation

  Lan Jiang, Xiangyu Gu, Jie Wu

  2022-06-13

  DOI:10.4208/aamm.OA-2021-0056

  44084 3695 pp. 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

  DOI:10.4208/aamm.OA-2023-0195

  14649 1266 pp. 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

  DOI:10.4208/aamm.OA-2024-0092

  7312 413 pp. 1841-1866

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

  Ke Zhang, Yiqing Shen

  2025-09-29

  DOI:10.4208/aamm.OA-2024-0024

  7318 398 pp. 1761-1788