Articles

• A Hessian Recovery Based Linear Finite Element Method for Molecular Beam Epitaxy Growth Model with Slope Selection

  Minqiang Xu, Qingsong Zou

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  26784 2667 Pages:1-23

• A Nitsche-Based Element-Free Galerkin Method for Semilinear Elliptic Problems

  Tao Zhang, Xiaolin Li

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  26971 2625 Pages:24-46

• A High-Order Localized Artificial Diffusivity Scheme for Discontinuity Capturing on 1D Drift-Flux Models for Gas-Liquid Flows

  Adyllyson H. Nascimento, Eugênio S. Rosa

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  26701 2358 Pages:47-74

• DPK: Deep Neural Network Approximation of the First Piola-Kirchhoff Stress

  Tianyi Hu, Jerry Zhijian Yang, Cheng Yuan

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  27280 2446 Pages:75-100

• Analysis of Weakly Nonlinear Evolution Characteristics of Flow in the Constant Curvature Bend

  Bin Li, Haijue Xu, Yuchuan Bai, Ziqing Ji

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  25250 2373 Pages:101-121

• On the Characteristic Length Scale for the Synthetic Turbulence Based on the Spalart-Allmaras Model

  Qilong Guo, Pengxin Liu, Chen Li, Dong Sun, Xianxu Yuan

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  26552 2378 Pages:122-145

• A Compact Difference Scheme for Time-Space Fractional Nonlinear Diffusion-Wave Equations with Initial Singularity

  Emadidin Gahalla Mohmed Elmahdi, Sadia Arshad, Jianfei Huang

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  25909 2484 Pages:146-163

• A Mass-Preserving Characteristic Finite Difference Method for Miscible Displacement Problem

  Jiansong Zhang, Yue Yu, Rong Qin, Zhaohui Liu

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  26017 2296 Pages:164-180

• A Vertex-Centered Arbitrary Lagrangian-Eulerian Finite Volume Method with Sub-Cells for Two-Dimensional Compressible Flow

  Xiaolong Zhao, Xijun Yu, Zupeng Jia, Shijun Zou, Meilan Qiu

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  27024 2493 Pages:181-207

• Local Discontinuous Galerkin Methods with Decoupled Implicit-Explicit Time Marching for the Growth-Mediated Autochemotactic Pattern Formation Model

  Hui Wang, Hui Guo, Jiansong Zhang, Lulu Tian

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  26696 2361 Pages:208-236

• Reconstructing the Absorption Function in a Quasi-Linear Sorption Dynamic Model via an Iterative Regularizing Algorithm

  Alexey Shcheglov, Jingzhi Li, Chao Wang, Alexander Ilin, Ye Zhang

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  30731 2802 Pages:237-252

• Free Vibration of Stiffened Plate with Cracked Stiffeners

  Jian Xue, Lihua Chen, Yue Sun, Wei Zhang

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  26592 2459 Pages:253-278