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SMPT Lecture Series: Lecture No. 9 for 042015-012016

posted Mar 1, 2016, 2:41 PM by smpt cob   [ updated Mar 2, 2016, 12:55 PM ]


March 8th, 2016


2 P.M.

Anisotropic Quadrilateral Mesh Optimization

Mr. Joseph Ferguson

Assistant Professor

Department of Mathematics

School of Mathematics, Physics and Technology


 In order to determine the validity and the quality of meshes, mesh optimization methods have been formulated with quality measures.  The basic idea of mesh optimization is to relocate the vertices to obtain a valid mesh (untangling) or improve the mesh quality (smoothing), or both.  In this talk, we look at a new algebraic way of calculating quality measure on quadrilateral meshes, based on triangular meshes in 2D as well as new optimization methods for simultaneous untangling and smoothing for severely deformed meshes.  An innovative anisotropic diffusion method will be introduced for consideration of inner boundary deformation movements for quadrangle meshes in 2D.


 Joseph Ferguson has been employed with the College for 15 years.  Over which time, he has served on numerous boards, assisted with the growth and development of mathematics at the College through program reviews, coordinated many courses, in addition to serving as Head of Department from 2008 – 2011.  Currently he is a PhD candidate at Mississippi State University, and expects to complete his doctoral studies during summer of 2016.