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The paper presents the fast parametric integral equations system (FPIES) for domain solutions of potential 2D boundary value problems (BVPs). The FPIES has been successfully applied in modelling 2D potential BVPs and finding solutions on the boundary. The combination of the modified fast multipole technique with the PIES reduced the numerical computation time and RAM usage in the fast PIES. Similar techniques are used to find solutions in the domain. The method is demonstrated with the solution in the domain of two BVPs.

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Domain Solutions Obtained by the FPIES for Potential 2D BVPs

  • 会议论文

  • 发表日期：

    2025年

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  • Andrzej Kużelewski,
  • Eugeniusz Zieniuk

摘要

The paper presents the fast parametric integral equations system (FPIES) for domain solutions of potential 2D boundary value problems (BVPs). The FPIES has been successfully applied in modelling 2D potential BVPs and finding solutions on the boundary. The combination of the modified fast multipole technique with the PIES reduced the numerical computation time and RAM usage in the fast PIES. Similar techniques are used to find solutions in the domain. The method is demonstrated with the solution in the domain of two BVPs.