Articles

• Benchmark Computations of the Phase Field Crystal and Functionalized Cahn-Hilliard Equations via Fully Implicit, Nesterov Accelerated Schemes

  Jea-Hyun Park, Abner J. Salgado, Steven M. Wise

  367-398

  https://doi.org/10.4208/cicp.OA-2022-0117

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  46367 3577

• Numerical Study on Viscous Fingering Using Electric Fields in a Hele-Shaw Cell

  Meng Zhao, Pedro Anjos, John Lowengrub, Wenjun Ying, Shuwang Li

  399-424

  https://doi.org/10.4208/cicp.OA-2022-0128

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  39154 3205

• Quantum Implementation of Numerical Methods for Convection-Diffusion Equations: Toward Computational Fluid Dynamics

  Bofeng Liu, Lixing Zhu, Zixuan Yang, Guowei He

  425-451

  https://doi.org/10.4208/cicp.OA-2022-0081

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  41007 3389

• A One-Dimensional Second-Order Cell-Centered Lagrangian Scheme Satisfying the Entropy Condition

  Zhong-Ze Li, Li Liu, Jun-Bo Cheng

  452-476

  https://doi.org/10.4208/cicp.OA-2022-0092

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  38702 3100

• A Stable Arbitrarily High Order Time-Stepping Method for Thermal Phase Change Problems

  Weiwen Wang, Chuanju Xu

  477-510

  https://doi.org/10.4208/cicp.OA-2022-0183

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  40288 3292

• A Posteriori Error Estimate of Weak Galerkin FEM for Stokes Problem Using Auxiliary Subspace Techniques

  Jiachuan Zhang, Ran Zhang, Xiaoshen Wang

  511-537

  https://doi.org/10.4208/cicp.OA-2022-0207

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  38719 3188

• SDF-Based ILW: Inverse Lax-Wendroff Method with the Signed Distance Function Representation of the Geometric Boundary

  Cheng Peng, Shihao Liu, Zhouwang Yang

  538-567

  https://doi.org/10.4208/cicp.OA-2022-0208

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  39230 3260

• Weak Galerkin Method for Second-Order Elliptic Equations with Newton Boundary Condition

  Mingze Qin, Ruishu Wang, Qilong Zhai, Ran Zhang

  568-595

  https://doi.org/10.4208/cicp.OA-2022-0138

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  38969 3296

• Convergence of Physics-Informed Neural Networks Applied to Linear Second-Order Elliptic Interface Problems

  Sidi Wu, Aiqing Zhu, Yifa Tang, Benzhuo Lu

  596-627

  https://doi.org/10.4208/cicp.OA-2022-0218

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  40766 3223

• Band Structure Calculations of Dispersive Photonic Crystals in 3D Using Holomorphic Operator Functions

  Wenqiang Xiao, Bo Gong, Junshan Lin, Jiguang Sun

  628-646

  https://doi.org/10.4208/cicp.OA-2022-0233

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  37563 3039