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Hirani, Anil N. Zharnitsky, Vadim Erickson, Jeff G. Hirani, Anil N. Zharnitsky, Vadim Ghrist, Robert Guoy, Damrong Vanderzee, Evan B. 2010-05-14T20:51:47Z 2010-05-14T20:51:47Z 2012-05-15T10:00:49Z 2010-05-14T20:51:47Z 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. Item withdrawn by Mark Zulauf (zulauf@illinois.edu) on 2009-12-16T22:24:57Z Item was in collections: University of Illinois Theses & Dissertations (ID: 1) No. of bitstreams: 1 VanderZee_Evan.pdf: 5781749 bytes, checksum: ae5226a85e66a2f7a1efaafcb4be87d7 (MD5) Made available in DSpace on 2010-05-14T20:51:47Z (GMT). No. of bitstreams: 3 VanderZee_Evan.pdf: 5781749 bytes, checksum: ae5226a85e66a2f7a1efaafcb4be87d7 (MD5) 1_VanderZee_Evan.pdf: 5780413 bytes, checksum: eda6940d76b098b2bd8f3980595eabcc (MD5) license.txt: 4064 bytes, checksum: c7dd7e6e51d9cbfa995cd21c6f3f7874 (MD5) Item marked as restricted to the 'UIUC Users [automated]' Group (id=2) by William Ingram (wingram2@illinois.edu) on 2010-05-14T20:52:49Z Item is restricted until 2012-05-14T20:52:43Z Item reinstated by Sarah Shreeves (sshreeve@illinois.edu) on 2012-05-15T10:00:49Z Item was in collections: University of Illinois Dissertations and Theses (ID: 204) Dissertations and Theses - Mathematics (ID: 749) No. of bitstreams: 4 1_VanderZee_Evan.pdf.txt: 336493 bytes, checksum: 2522019d738b4f230a2fe6a0dfb0c6b4 (MD5) VanderZee_Evan.pdf: 5781749 bytes, checksum: ae5226a85e66a2f7a1efaafcb4be87d7 (MD5) 1_VanderZee_Evan.pdf: 5780413 bytes, checksum: eda6940d76b098b2bd8f3980595eabcc (MD5) license.txt: 4064 bytes, checksum: c7dd7e6e51d9cbfa995cd21c6f3f7874 (MD5) Item released from any restrictions by Sarah Shreeves (sshreeve@illinois.edu) on 2012-05-15T10:00:49Z http://hdl.handle.net/2142/15591 en Copyright 2010 Evan B. VanderZee well-centered meshing triangulation acute Delaunay simplex Well-centered meshing 2010-5 Mathematics 1257 Mathematics 0439 University of Illinois at Urbana-Champaign Dissertation Ph.D. PHD:Mathematics -UIUC 10KS0439PHD