Articles

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

  Minqiang Xu, Qingsong Zou

  1-23

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

  Tao Zhang, Xiaolin Li

  24-46

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• 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

  47-74

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

  Tianyi Hu, Jerry Zhijian Yang, Cheng Yuan

  75-100

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

  Bin Li, Haijue Xu, Yuchuan Bai, Ziqing Ji

  101-121

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• 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

  122-145

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

  Emadidin Gahalla Mohmed Elmahdi, Sadia Arshad, Jianfei Huang

  146-163

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

  Jiansong Zhang, Yue Yu, Rong Qin, Zhaohui Liu

  164-180

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• 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

  181-207

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• 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

  208-236

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• 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

  237-252

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• Free Vibration of Stiffened Plate with Cracked Stiffeners

  Jian Xue, Lihua Chen, Yue Sun, Wei Zhang

  253-278

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