Theses and Dissertations
Issuing Body
Mississippi State University
Advisor
Kim, Seongjai
Committee Member
Miller, T. Len
Committee Member
Miller, Vivien G.
Committee Member
Lim, Hyeona
Committee Member
Johnson, Corlis P.
Date of Degree
8-12-2016
Document Type
Dissertation - Open Access
Major
Mathematics
Degree Name
Doctor of Philosophy
College
College of Arts and Sciences
Department
Department of Mathematics and Statistics
Abstract
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. We will 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.
URI
https://hdl.handle.net/11668/20975
Recommended Citation
Ferguson, Joseph Timothy Charles, "Anisotropic Quadrilateral Mesh Optimization" (2016). Theses and Dissertations. 678.
https://scholarsjunction.msstate.edu/td/678