An automatic coarse and fine surface mesh generation scheme based on medial axis transform. II: Implementation
type: Item
instance of: scholarly article
title: An automatic coarse and fine surface mesh generation scheme based on medial axis transform. II: Implementation
zbMATH Open document ID: 0771.65078
DOI: 10.1007/BF01194321
author: H. Nebi Gürsoy
author: Nicholas M. Patrikalakis
published in: Engineering with Computers
publication date: 1993-05-16T00:00:00Z
review text: The implementation aspects of a surface finite element meshing algorithm described in part I [ibid. 8, No. 3, 121-137 (1992; Zbl 0757.65119)] are presented. The meshing scheme is based on the medial axis transform to interrogate shape and to subdivide it into topologically simple subdomains. Finally some results on adaptive \(h\)- and \(p\)-adaptive finite element analysis of plane stress problems are reported. These results demonstrate the potential applicability of the presented techniques in computer aided design.
reviewed by: Wilhelm Heinrichs
Mathematics Subject Classification ID: 65N50
Mathematics Subject Classification ID: 65N30
zbMATH DE Number: 166619
zbMATH Keywords: surface mesh generation
zbMATH Keywords: surface finite element meshing algorithm
zbMATH Keywords: medial axis transform
zbMATH Keywords: computer aided design
describes a project that uses: nag
describes a project that uses: NAG
MaRDI profile type: Publication
cites work: Approximate conversion of rational splines
cites work: Implicit representation of parametric curves and surfaces
cites work: Automatic triangulation of arbitrary planar domains for the finite element method
cites work: Algorithms for refining triangular grids suitable for adaptive and multigrid techniques
cites work: A note on the modeling space of Euler operators
cites work: Approximate conversion of rational B-spline patches
cites work: Automatic three-dimensional mesh generation by the modified-octree technique
cites work: Geometry-based fully automatic mesh generation and the delaunay triangulation
cites work: Q3813123
cites work: Q3308992
cites work: Q4127946
cites work: Q5683765
cites work: Q3704848
cites work: Q3907203
cites work: A method for smoothing derivatives of multilinear finite element fields
cites work: A simple error estimator in the finite element method
full work available at URL: https://doi.org/10.1007/bf01194321
OpenAlex ID: W2074132192
Recommended article: An automatic coarse and fine surface mesh generation scheme based on medial axis transform. I: Algorithms
Recommended article: Medial axis construction in three dimensions and its application to mesh generation
Recommended article: Automatic surface mesh generation for discrete models -- a complete and automatic pipeline based on reparametrization
Recommended article: Q3461368
Recommended article: Automatic generation of coarse three-dimensional meshes using the functionality of a geometric modeler
Recommended article: A new concept in two‐dimensional auto‐adaptative mesh generation
Recommended article: 2D finite element mesh generation by medial axis subdivision
Recommended article: Semi-automatic surface and volume mesh generation for subject-specific biomedical geometries
Recommended article: Automatic mesh generation allowing for efficient a priori and a posteriori mesh refinement
description: scientific article; zbMATH DE number 166619