Mathematics Graduate Student Colloquium

MGSC Website: http://math.uci.edu/~mgsc/

The WEB-Spline Finite Element Method

Yanping Cao
Wednesday, February 21, 2007
4:00 pm - 4:50 pm
MSTB 114

Talk Abstract:

In this talk, we introduce WE(weighted-extended)B-splines, which we use to implement the finite element method for numerically solving PDEs. After discussing the advantages and disadvantages of such methods, we explore the technical implementation details and derive the theoretical convergence rate. We close by applying the method to several sample 2-D problems, including elliptic equations on the unit circle and irregular domains. In doing so, we shall see the beauty of the "mesh-free" idea we present.

About the Speaker:

Yanping Cao is a fourth-year graduate student here at UCI. She received her B.S. in applied mathematics at Shanghai Jiatong University in China in 2003, and she completed her M.S. in mathematics at UCI in June 2005. Her research interests include partial differential equations, dynamics and turbulence models.

Refreshments:

Pizza will be served after the talk.