Speaker: Padmanabhan Seshaiyer, Texas Tech University

Title: Mathematical and computational modeling of coupled problems with multi-disciplinary applications in science and engineering

Abstract: Engineering and biological applications often involve solution methodologies that employ sophisticated computational techniques such as finite element methods to be carried out over complex domains. Often such analysis may be accomplished by partitioning the global domain into several local sub-domains each of which may be constructed separately by different analysts and the global solution can then be constructed by piecing together local solutions obtained from the individually modeled sub-domains. In this talk, a multilevel non-conforming computational technique to accomplish this will be described. Stability and convergence results for the solution methodology will be discussed. Computational experiments will be presented for various benchmark applications involving coupled physical and biological processes that are characterized by solid mechanics, fluid dynamics as well as fluid-structure interaction.

Place: Science and Technology Building I, Room 242

Refreshments will be served before the talk at 3:00 p.m. in Room 222.

Department of Mathematical Sciences
George Mason University
4400 University Drive, MS 3F2
Fairfax, VA 22030-4444
http://math.gmu.edu/
Tel. 703-993-1460, Fax. 703-993-1491