Berkeley Lab - Scientific Computing Seminar

Date:

Thursday, February 7, 2008

Time:

11:00am-12:00pm

Location:

Building 50F, 1647 Conference Room

Seminar Speaker:

Yunrong Zhu
Department of Mathematics
Penn State University

Title:

Robust Multilevel Preconditioners for Problems with Strongly Discontinuous Coefficients

Abstract:

Although there are vast literature of multilevel and domain decomposition (DD) methods for the finite element discretization of elliptic (H(grad)) systems, it remains an open question that how to make these efficient solvers convergence (nearly) uniformly for the H(grad) systems with strongly discontinuous coefficients. Recently, we proved that the multilevel and DD preconditioners lead to a nearly uniform convergent preconditioned conjugate gradient methods. In this talk, I will present the theoretical and numerical justification of these results. As applications, I will also present the auxiliary space preconditioners (Hiptmair and Xu 2007) for H(curl) and H(div) systems in the compatible discretization framework, which reduce the Maxwell equations and Mixed formulation of elliptic equations into solving several H(grad) equations. I will give some numerical results for H(div) system and its application.

Sponsor of Seminar:

Sherry Li

Scientific Computing

Contact Esmond G. Ng EGNg@lbl.gov