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Title:Well-centered meshing
Author(s):Vanderzee, Evan B.
Director of Research:Hirani, Anil N.; Zharnitsky, Vadim
Doctoral Committee Chair(s):Erickson, Jeff G.
Doctoral Committee Member(s):Hirani, Anil N.; Zharnitsky, Vadim; Ghrist, Robert; Guoy, Damrong
Department / Program:Mathematics
Discipline:Mathematics
Degree Granting Institution:University of Illinois at Urbana-Champaign
Degree:Ph.D.
Genre:Dissertation
Subject(s):well-centered
meshing
triangulation
acute
Delaunay
simplex
Abstract:A well-centered simplex is a simplex whose circumcenter lies in its interior, and a well-centered mesh is a simplicial mesh in which every simplex is well-centered. We examine properties of the well-centered simplex and well-centered meshes, present experimental results from an optimization method designed to make meshes well-centered, and give examples of well-centered tetrahedral meshes of a variety of three-dimensional regions.
Issue Date:2010-05-14
URI:http://hdl.handle.net/2142/15591
Rights Information:Copyright 2010 Evan B. VanderZee
Date Available in IDEALS:2010-05-14
2012-05-15
Date Deposited:May 2010


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