Director of Research (if dissertation) or Advisor (if thesis)
Hirani, Anil N.
Zharnitsky, Vadim
Doctoral Committee Chair(s)
Erickson, Jeff G.
Committee Member(s)
Hirani, Anil N.
Zharnitsky, Vadim
Ghrist, Robert
Guoy, Damrong
Department of Study
Mathematics
Discipline
Mathematics
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(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.
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