数学与系统科学研究院

计算数学所学术报告

报告人：        许学军 

                              中国科学院计算数学研究所

                                xxj@lsec.cc.ac.cn

报告题目    Domain Decomposition Methods for a Nonlinear Biharmonic Equation

Abstract: In this talk, we consider the well-known Morley nonconforming element approximation of a nonlinear biharmonic equation which is related to the well-known two-dimensional Navier-Stokes equations. First, optimal energy and H^1-norm estimates are obtained for matching and nonmatching meshes. Second, a two-level additive Schwarz method is presented for the discrete nonlinear algebraic system. It is shown that the two-level Schwarz method is optimal, i.e., the convergence rate of the Schwarz method is independent of the mesh size and the number of subdomains. Numerical results are presented in confirmation of the theory.

报告时间：2003年11月6日  下午4：00-5：00

报告地点：科技综合楼三层报告厅