[GTP] REMINDER-Seminar at NCAR- Luca Gerardo-Giorda

[Silvia Gentile]

Luca Gerardo-Giorda
Emory University

400 Dowman Drive, Atlanta, GA, 30322
luca at mathcs.emory.edu
November 3, 2009
Mesa Laboratory, Chapman Room
Lecture 3:30pm

Optimized Schwarz Methods in the Numerical Solution of PDEs
Schwarz algorithms have experienced a second youth over the last 
decades, when distributed computers became more and more powerful and 
available. In the classical Schwarz algorithm the computational domain 
is divided into subdomains and Dirichlet continuity is enforced on the 
interfaces between subdomains. Fundamental convergence results for the 
classical Schwarz methods have been derived for many partial 
differential equations. Within this framework the overlap between 
subdomains is essential for convergence. More recently, Optimized 
Schwarz Methods have been developed: based on more effective 
transmission conditions than the classical Dirichlet conditions at the 
interfaces between subdomains, such algorithms can be used both with and 
without overlap. On the other hand, such algorithms show greatly 
enhanced performance compared to the classical Schwarz method.
I will present a survey of Optimized Schwarz Methods for the numerical 
approximation of partial differential equation, focusing mainly on 
heterogeneous convection-diffusion and electromagnetic problems.