Anisotropic quadrilateral mesh optimization

<p>In order to determine the validity and the quality of meshes, mesh optimization methods have been formulated with quality measures. The basic idea of mesh optimization is to relocate the vertices to obtain a valid mesh (untangling) or improve the mesh quality (smoothing), or both. We will l...

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Bibliographic Details
Main Author:	Ferguson, Joseph Timothy Charles
Other Authors:	Seongjai Kim
Format:	Others
Language:	en
Published:	MSSTATE 2016
Subjects:	Mathematics and Statistics
Online Access:	http://sun.library.msstate.edu/ETD-db/theses/available/etd-06252016-060510/

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spelling	ndltd-MSSTATE-oai-library.msstate.edu-etd-06252016-0605102019-05-15T18:43:59Z Anisotropic quadrilateral mesh optimization Ferguson, Joseph Timothy Charles Mathematics and Statistics <p>In order to determine the validity and the quality of meshes, mesh optimization methods have been formulated with quality measures. The basic idea of mesh optimization is to relocate the vertices to obtain a valid mesh (untangling) or improve the mesh quality (smoothing), or both. We will look at a new algebraic way of calculating quality measure on quadrilateral meshes, based on triangular meshes in 2D as well as new optimization methods for simultaneous untangling and smoothing for severely deformed meshes. An innovative anisotropic diffusion method will be introduced for consideration of inner boundary deformation movements for quadrangle meshes in 2D. </p> Seongjai Kim MSSTATE 2016-07-22 text application/pdf http://sun.library.msstate.edu/ETD-db/theses/available/etd-06252016-060510/ http://sun.library.msstate.edu/ETD-db/theses/available/etd-06252016-060510/ en unrestricted I hereby certify that, if appropriate, I have obtained and attached hereto a written permission statement from the owner(s) of each third party copyrighted matter to be included in my thesis, Dissertation, or project report, allowing distribution as specified below. I certify that the version I submitted is the same as that approved by my advisory committee. I hereby grant to Mississippi State University Libraries or its agents the non-exclusive license to archive and make accessible, under the conditions specified below, my thesis, Dissertation, or project report in whole or in part in all forms of media, now or hereafter known. I retain all other ownership rights to the copyright of the thesis, Dissertation or project report. I also retain the right to use in future works (such as articles or books) all or part of this thesis, Dissertation, or project report.
collection	NDLTD
language	en
format	Others
sources	NDLTD
topic	Mathematics and Statistics
spellingShingle	Mathematics and Statistics Ferguson, Joseph Timothy Charles Anisotropic quadrilateral mesh optimization
description	<p>In order to determine the validity and the quality of meshes, mesh optimization methods have been formulated with quality measures. The basic idea of mesh optimization is to relocate the vertices to obtain a valid mesh (untangling) or improve the mesh quality (smoothing), or both. We will look at a new algebraic way of calculating quality measure on quadrilateral meshes, based on triangular meshes in 2D as well as new optimization methods for simultaneous untangling and smoothing for severely deformed meshes. An innovative anisotropic diffusion method will be introduced for consideration of inner boundary deformation movements for quadrangle meshes in 2D. </p>
author2	Seongjai Kim
author_facet	Seongjai Kim Ferguson, Joseph Timothy Charles
author	Ferguson, Joseph Timothy Charles
author_sort	Ferguson, Joseph Timothy Charles
title	Anisotropic quadrilateral mesh optimization
title_short	Anisotropic quadrilateral mesh optimization
title_full	Anisotropic quadrilateral mesh optimization
title_fullStr	Anisotropic quadrilateral mesh optimization
title_full_unstemmed	Anisotropic quadrilateral mesh optimization
title_sort	anisotropic quadrilateral mesh optimization
publisher	MSSTATE
publishDate	2016
url	http://sun.library.msstate.edu/ETD-db/theses/available/etd-06252016-060510/
work_keys_str_mv	AT fergusonjosephtimothycharles anisotropicquadrilateralmeshoptimization
_version_	1719086165892530176

Anisotropic quadrilateral mesh optimization

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