计算科学学术报告

题目：Least-squares finite element methods and their connection to the classical Kelvin and Dirichlet principles

报告人：Max Gunzburger

单位：School of Computational Science，Florida State University

Abstract:

We begin by discussing the potential advantages that least-square finite element methods (LSFEMs) possess compared to their Galerkin-based cousins. We then explore the important connections between LSFEMs for second-order elliptic problems and the Kelvin and Dirichlet principles. In the end, we conclude that if one uses finite element spaces inherited from stable discretizations of these classical principles, one can obtain optimal accuracy in all useful norms and also obtain a LSFEM that has good mass conservation properties.  (Joint work with Pavel Bochev.)

      时    间： 2006年6月15日15:00~16:00

地    点： 北京大学理科一号楼1560S

Tea Time:   2006年6月15日14:45-15:00

地    点： 北京大学理科一号楼1384E

主办单位： 北京大学科学与工程计算中心

                     北京计算数学学会

      题目：Multipliers, velocity averaging and applications to nonlinear PDEs

报告人Eitan Tadmor

单位：Center for Scientific Computation and Mathematical Modeling (CSCAMM)
Department of Mathematics and Institute for Physical Science &Technology
University of Maryland, College Park

Abstract:

Velocity averaging is used to study the regularizing effects in quasilinear second-order equations, L( ,  )  = S( ) using their underlying kinetic formulations, L( , )X  =g . Our study of velocity averaging applies to a large class of operators satisfying the so-called truncation multiplier property, which is shown to include all L’s of degree 2. In particular, we improve previous regularity statements for multidiemsnional conservation laws, and we derive completely new regularity results for related convection diffusion and elliptic equations driven by degenerate, non-isotropic diffusion.

时    间： 2006年6月15日16:00~17:00

地    点： 北京大学理科一号楼1560S

Tea Time:   2006年6月15日14:45-15:00

地    点： 北京大学理科一号楼1384E

主办单位： 北京大学科学与工程计算中心

                      北京计算数学学会