Well-centered meshing

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.

Name thesis:degree_name

Ph.D.

Level thesis:degree_level

Dissertation

Discipline thesis:degree_discipline

Mathematics

Grantor

University of Illinois at Urbana-Champaign

Year dc:date

2010

Author dc:creator

• Vanderzee, Evan B.

Contributors dc:contributor

• Hirani, Anil N.
• Zharnitsky, Vadim
• Erickson, Jeff G.
• Ghrist, Robert
• Guoy, Damrong

• well-centered
• meshing
• triangulation
• acute
• Delaunay
• simplex

Statement dc:rights

• Copyright 2010 Evan B. VanderZee

Language dc:language

en

Handle dc:identifier

http://hdl.handle.net/2142/15591

OAI identifier oai:identifier

oai:www.ideals.illinois.edu:2142/15591