Speaker
Giuseppe Pitton
(SISSA)
Description
In this talk I will recall some basic notions of augmented and deflated Krylov space methods for the iterative solution of linear systems.
Then I will discuss a few strategies to apply these techniques to the solution of linear systems coming from nonlinear scalar convection-diffusion equations.
A simple back-of-the-envelope analysis allows to argue that in some cases it may be convenient to exploit alternative recycling strategies based on the SVD selection of previous solutions, and this conclusion is corroborated by numerical tests based on Finite Element and Spectral Element discretisations.
Primary author
Giuseppe Pitton
(SISSA)
Co-author
Prof.
Luca Heltai
(SISSA)
