All-hexahedral element meshing: Generation of the dual mesh by recurrent subdivision
type: Item
instance of: scholarly article
title: All-hexahedral element meshing: Generation of the dual mesh by recurrent subdivision
zbMATH Open document ID: 0963.65122
DOI: 10.1016/S0045-7825(99)00199-1
author: N. A. Calvo
author: S. R. Idelsohn
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 2001-07-03T00:00:00Z
review text: This paper deals with a method that, given a few topological constraints, produces a non-structured all-hexahedral mesh. It is also explained by means of a simple 2D example and then extended into 3D. The concept of duality throughout this paper is an \(N\)-dimensional extension of the graph theoretical duality between a graph and a map: to each \(n\)-dimensional element of the mesh, there is a corresponding (\(N\)-\(n\))-dimensional one of the dual and vice versa. Also many remarkable advances in the topic of all-hexahedral meshing are presented.
reviewed by: Pavol Chocholatý
Mathematics Subject Classification ID: 65N50
Mathematics Subject Classification ID: 65N30
zbMATH DE Number: 1486974
zbMATH Keywords: all-hexahedral element meshing
zbMATH Keywords: dual mesh
zbMATH Keywords: recurrent subdivision
zbMATH Keywords: graph theoretical duality
MaRDI profile type: Publication
cites work: Paving: A new approach to automated quadrilateral mesh generation
cites work: GENERALIZED 3-D PAVING: AN AUTOMATED QUADRILATERAL SURFACE MESH GENERATION ALGORITHM
cites work: Hexahedral mesh generation by medial surface subdivision: Part I. Solids with convex edges
cites work: Q4360543
full work available at URL: s0045-7825(99)00199-1
OpenAlex ID: W2016603590
description: scientific article; zbMATH DE number 1486974