A derivative-free mesh optimization algorithm for mesh quality improvement and untangling
type: Item
instance of: scholarly article
title: A derivative-free mesh optimization algorithm for mesh quality improvement and untangling
zbMATH Open document ID: 1394.65159
DOI: 10.1155/2015/264741
author: Jibum Kim
author: Myeonggyu Shin
author: Woochul Kang
published in: Mathematical Problems in Engineering
publication date: 2018-08-27T00:00:00Z
review text: Summary: We propose a derivative-free mesh optimization algorithm, which focuses on improving the worst element quality on the mesh. The mesh optimization problem is formulated as a min-max problem and solved by using a downhill simplex (amoeba) method, which computes only a function value without needing a derivative of Hessian of the objective function. Numerical results show that the proposed mesh optimization algorithm outperforms the existing mesh optimization algorithm in terms of improving the worst element quality and eliminating inverted elements on the mesh.
Mathematics Subject Classification ID: 65N50
zbMATH DE Number: 6925893
Wikidata QID: Q59117775
describes a project that uses: Mesquite
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2015/264741
OpenAlex ID: W2034096951
cites work: A multiobjective mesh optimization framework for mesh quality improvement and mesh untangling
cites work: Hexahedral and tetrahedral mesh untangling
cites work: Laplacian smoothing and Delaunay triangulations
cites work: Tetrahedral mesh improvement via optimization of the element condition number
cites work: Local optimization-based simplicial mesh untangling and improvement
cites work: Q4385944
cites work: A 2D Topology-Adaptive Mesh Deformation Framework for Mesh Warping
cites work: Updating meshes on deforming domains: An application of the target‐matrix paradigm
cites work: Mesh shape-quality optimization using the inverse mean-ratio metric
cites work: Image-based geometric modeling and mesh generation
description: scientific article; zbMATH DE number 6925893