Thursday, April 27
Time: 4:00 p.m.
Location: 114 McAllister Building
Name: Max Gunzburger
Affiliation: Florida State University
Title: Least-squares finite element methods
Abstract: Least-squares finite element methods are an attractive class of methods for the numerical solution of partial differential equations. They are motivated by the desire to recover, in general settings, the advantageous features of Rayleigh-Ritz methods such as the avoidance of discrete compatibility conditions and the production of symmetric and positive definite discrete systems. The methods are based on the minimization of convex functionals that are constructed from equation residuals. We discuss theoretical and practical aspects of least-square finite element methods and includes discussions of what issues enter into their construction, analysis, and performance. We also discuss some open problems connected to least-square finite element methods