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M07   Optimized Schwarz methods: Promises and Challenges

Organizer

Abstract

Recent developments on Schwarz methods have the aim to improve the performance and speed up the rate of convergence of these methods. Those improvements are based essentially on imposing new types of transmission conditions involving different combinations of solution, normal and tangential derivatives, rather than exchanging only solutions between subdomains. As promised, optimized Schwarz methods have given great enhancements to classical Schwarz methods and rigorous Fourier analysis on strip decompositions have been done to confirm this. Big challenges are now to extend the performances of optimized Schwarz methods to higher dimensional problems and more complicated systems. In the present mini-symposium we will consider some answers to different aspects of those challenges.

List of speakers

Thu, 6 July, Room: B2
Chair: Lahcen Laayouni

M07-1 16:00-16:25 Lahcen Laayouni:
Optimal and optimized domain decomposition methods for three-dimensional partial differential equations
M07-2 16:30-16:55 Amik St-Cyr:
Performance of optimized Schwarz in a massively parallel next generation climate model
M07-3 17:00-17:25 Olivier Dubois:
Optimized Schwarz methods for problems with discontinuous coefficients
M07-4 17:30-17:55 Victorita Dolean:
A New Domain Decomposition Method for the Compressible Euler Equations
M07-5 18:00-18:25 Abdessamad Qaddouri:
Optimized Schwarz method with the Yin-Yang grid for the Shallow-Water Equations

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