Event Detail

Event Type: 
Applied Mathematics and Computation Seminar
Date/Time: 
Friday, April 29, 2005 - 05:00
Location: 
Gilkey 115

Speaker Info

Local Speaker: 
Abstract: 

Domain decomposition (DD) methods also called multi-domain methods have been first proposed over a century ago. They regained popularity (4113 matches in MathSciNet today) as a divide-and-conquer strategy for numerical solution of partial differential equations and became important for implementation on parallel machines. In the talk I will overview fundamental DD concepts such as Steklov-Poincare operator, Dirichlet-to-Neumann map, alternating Schwarz methods, and Schur complement and will illustrate them on simple examples for the Poisson problem posed on the unit square. Then I will introduce a few modern multi-domain methods applicable to flow and transport models including the mortar formulation which allows to handle non-matching subdomain grids and the heterogeneous multi-domain technique in which different problems are solved in different subdomains.