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The paper introduces a hypergraph grammar for modeling mesh adaptation in 2D meshes with quadrilateral, pentagon, and hexagonal elements. In this approach, the finite element mesh is represented as a hypergraph, with all mesh transformations defined by hypergraph grammar rules. These rules enable the execution of the h-adaptation of elements, namely the mesh refinement.

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Graph Grammar Model for H-Adaptation for Meshes with Quadrilateral, Pentagon, and Hexagon Elements

  • 会议论文

  • 发表日期：

    2025年

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  • Anna Paszyńska,
  • Paweł Maczuga,
  • Mateusz Dobija,
  • Albert Oliver-Serra,
  • Edyta Paruch,
  • Jakub Radek

摘要

The paper introduces a hypergraph grammar for modeling mesh adaptation in 2D meshes with quadrilateral, pentagon, and hexagonal elements. In this approach, the finite element mesh is represented as a hypergraph, with all mesh transformations defined by hypergraph grammar rules. These rules enable the execution of the h-adaptation of elements, namely the mesh refinement.