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Well-centered meshing

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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
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
Rights Information: Copyright 2010 Evan B. VanderZee
Date Available in IDEALS: 2010-05-14
Date Deposited: May 2010

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