An efficient approach for solving mesh optimization problems using Newton's method
type: Item
instance of: scholarly article
title: An efficient approach for solving mesh optimization problems using Newton's method
zbMATH Open document ID: 1407.65064
DOI: 10.1155/2014/273732
author: Jibum Kim
published in: Mathematical Problems in Engineering
publication date: 2019-02-08T00:00:00Z
review text: Summary: We present an efficient approach for solving various mesh optimization problems. Our approach is based on Newton's method, which uses both first-order (gradient) and second-order (Hessian) derivatives of the nonlinear objective function. The volume and surface mesh optimization algorithms are developed such that mesh validity and surface constraints are satisfied. We also propose several Hessian modification methods when the Hessian matrix is not positive definite. We demonstrate our approach by comparing our method with nonlinear conjugate gradient and steepest descent methods in terms of both efficiency and mesh quality.
Mathematics Subject Classification ID: 65K05
Mathematics Subject Classification ID: 65N50
zbMATH DE Number: 7016050
Wikidata QID: Q59065323
describes a project that uses: Mesquite
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/273732
OpenAlex ID: W2046478132
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description: scientific article; zbMATH DE number 7016050