Domain-decomposition preconditioning for linear wave problems
Dr. Euan Spence, Bath University
Sala conferenze IMATI-CNR, Pavia - Tuesday, February 13, 2018 h.15:00
Abstract. There is a large, current research interest in finding optimal-in-time solvers for finite-element discretisations of frequency-domain wave problems (such as the Helmholtz and time-harmonic Maxwell equations) when the frequency is large. Ideally such solvers should also have good parallel scaling properties, and come with theorems rigorously justifying their behaviour.
This talk will be about work on this problem, using variants of classical domain-decomposition methods (but no detailed knowledge of domain decomposition methods will be required to understand the talk). I will emphasise how PDE theory of the underlying boundary-value problems can be used to tackle the linear-algebra problem of developing fast solvers.
The work on Helmholtz is joint with Ivan Graham (Bath), Eero Vainikko (Tartu), and Jun Zou (Chinese University of Hong Kong). The work on Maxwell is joint with Marcella Bonazzoli (Paris 6), Victorita Dolean (Strathclyde/Cote d'Azur), Ivan Graham (Bath), and Pierre-Henri Tournier (Paris 6).
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