Scholarlink

This paper presents an algorithm designed to eliminate the direct evaluation of both strongly and weakly singular boundary integrals in the Parametric Integral Equation System (PIES) for the analysis of three-dimensional multidomain orthotropic problems. The proposed method regularizes PIES by incorporating an auxiliary regularization functions with coefficients that effectively remove singularities. Consequently, the regularized PIES eliminates the need to explicitly evaluate singular integrals, enabling all integrals to be computed using standard Gaussian quadrature.

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Regularization Algorithm for Eliminating Singularities in the PIES Formula for 3D Multidomain Orthotropic Problems

  • 会议论文

  • 发表日期：

    2025年

查看全文
  • Krzysztof Szerszeń,
  • Eugeniusz Zieniuk

摘要

This paper presents an algorithm designed to eliminate the direct evaluation of both strongly and weakly singular boundary integrals in the Parametric Integral Equation System (PIES) for the analysis of three-dimensional multidomain orthotropic problems. The proposed method regularizes PIES by incorporating an auxiliary regularization functions with coefficients that effectively remove singularities. Consequently, the regularized PIES eliminates the need to explicitly evaluate singular integrals, enabling all integrals to be computed using standard Gaussian quadrature.