Daniel PeterseimBonn University
Title: A New Multiscale Method for (Semi-)Linear Elliptic Problems
Abstract: This talk summarizes some recent results on (semi-)linear elliptic multiscale problems with rough coefficients. I will propose and analyze a new Multiscale Method which is based on a generalized finite element basis that spans a low dimensional macroscopic approximation space based on some coarse mesh. The basis is assembled by performing parallel localized microscopic computations in small patches that have a diameter of order H log(1/H) where H is the coarse mesh size. The energy (resp. L2) error of the method converges linearly (resp. quadratically) with respect to the coarse mesh size without any pre-asymptotic effects. As further applications of this theory, I will comment on eigenvalue problems and the fast iterative solution of the corresponding linear systems of algebraic equations.
Martin GanderUniversity of Geneva
‘On the Origins of Domain Decomposition Methods’
Ralf KornhuberFreie Universität Berlin
‘Heterogeneous domain decomposition methods for ground and surface water flow’
Tammy KoldaSandia National Laboratories, California
‘Capturing Community Behavior in Very Large Networks’
Robert van de GeijnUniversity of Texas in Austin
Robert van de Geijn, University of Texas in Austin
"Design by Transformation - Application to Dense Linear Algebra Libraries"