Date:

Monday, March 17, 2008,
11:00 am - 12:00 pm.

Place:

Mathematics Conference Room 626, UCD Building, 1250 14th St., Denver.

Speaker:

James Liu.

Affiliation:

Department of Mathematics, Colorado State University.

Title:

A second order finite volume method on quadrilateral meshes for elliptic and parabolic problems

Abstract:

Finite volume methods are attractive due to their local mass conservation property and easy implementations. However, most finite volume methods are low order. In this talk, we present a second order finite volume method for elliptic and parabolic problems based on affine biquadratic elements on quadrilateral meshes. Numerical results will be presented to illustrate the theoretical analysis. This is a joint work with Dr. Min Yang at Yantai University in China.

Short Bio:

Jiangguo (James) Liu earned his Ph.D. in Mathematics in 2001 from University of South Carolina. He joined the Math Department at Colorado State University after spending three and half years as a postdoc at Texas A&M University. His current research interests are adaptive numerical methods for partial differential equations and their applications in porous media flow and phase separation dynamics of nano-structured polymers in confined geometries.