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Automatic geometry-adaptive generation of quadrilateral and hexahedral element meshes for the FEM

F. C. Weiler, Ryan Lee Schindler, Robert Schneiders

Open publisher page 13 citations

Abstract

A new algorithm for meshing arbitrary geometries with quadrilateral or hexahedral elements is presented. Based on the Quad- or Octree representation of the object an initial mesh that lies entirely inside the geometry is created and then connected with the boundary. We first describe the modified construction technique for the Quadtree (2-D) and the Octree, (3-D) data structure that allows local variations in mesh density depending on geometrical features and/or numerical needs. Then we focus on the process of making a conforming mesh out of the Quad-/Octree data structure that can be used for the meshing of the boundary. Finally some examples are resented.

About this research paper

What this paper is about

A new algorithm for meshing arbitrary geometries with quadrilateral or hexahedral elements is presented. Based on the Quad- or Octree representation of the object an initial mesh that lies entirely inside the geometry is created and then connected with the boundary. We first describe the modified construction technique for the Quadtree (2-D) and the Octree, (3-D) data structure that allows local variations in mesh density depending on geometrical features and/or numerical needs. Then we focus on the process of making a conforming mesh out of the Quad-/Octree data structure that can be used for the meshing of the boundary. Finally some examples are resented.

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OpenAlex reports 13 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

A new algorithm for meshing arbitrary geometries with quadrilateral or hexahedral elements is presented. Based on the Quad- or Octree representation of the object an initial mesh that lies entirely inside the geometry is created and then connected with the boundary. We first describe the modified construction technique for the Quadtree (2-D) and the Octree, (3-D) data structure that allows local variations in mesh density depending on geometrical features and/or numerical needs. Then we focus on the process of making a conforming mesh out of the Quad-/Octree data structure that can be used for the meshing of the boundary. Finally some examples are resented.

Key concepts: Octree, Hexahedron, Quadrilateral, Polygon mesh, Boundary representation, Boundary (topology), Geometry, Finite element method

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