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Robust Coarse Spaces for Systems of PDEs via Generalized Eigenproblems in the Overlaps

Decanato - Facoltà di scienze informatiche

Data d'inizio: 15 Dicembre 2011

Data di fine: 16 Dicembre 2011

The Faculty of Informatics is pleased to announce a seminar given by Victoria Dolean

DATE: Thursday, December 15th, 2011
PLACE: USI Università della Svizzera italiana, room A34, Red building (Via G. Buffi 13)
TIME: 13.30

ABSTRACT:
Coarse spaces are instrumental in obtaining scalability for domain decomposition methods for partial differential equations (PDEs). However, it is known that most popular choices of coarse spaces perform rather weakly in the presence of heterogeneities in the PDE coefficients, especially for systems of PDEs. Here, we introduce in a variational setting a new coarse space that is robust even when there are such heterogeneities. We achieve this by solving local generalized eigenvalue problems in the overlaps of subdomains that isolate the terms responsible for slow convergence. We prove a general theoretical result that rigorously establishes the robustness of the new coarse space and give some numerical examples on two and three dimensional heterogeneous PDEs and systems of PDEs that confirm this property.

BIO:
Victorita DOLEAN MAINI is a Visiting professor in Applied Mathematics at University of Geneva.
2009, July 7th Habilitation (HDR) in Mathematics, University  de Nice-Sophia Antipolis, France.
2001, April 25th Ph.D. in Applied Mathematics, INRIA Sophia-Antipolis.

HOST: Prof. Rolf Krause