Reference : Double sweep preconditioner for Schwarz methods applied to the Helmholtz equation
Scientific congresses and symposiums : Paper published in a book
Engineering, computing & technology : Electrical & electronics engineering
http://hdl.handle.net/2268/171493
Double sweep preconditioner for Schwarz methods applied to the Helmholtz equation
English
Vion, Alexandre mailto [Université de Liège - ULiège > Dép. d'électric., électron. et informat. (Inst.Montefiore) > Applied and Computational Electromagnetics (ACE) >]
Geuzaine, Christophe mailto [Université de Liège - ULiège > Dép. d'électric., électron. et informat. (Inst.Montefiore) > Applied and Computational Electromagnetics (ACE) >]
Sep-2013
Proceedings of the 22nd International Conference on Domain Decomposition Methods
Yes
International
22nd International Conference on Domain Decomposition Methods, DD22
16-09-2013 to 20-09-2013
[en] Observing that the optimized Schwarz algorithm is equivalent to the solution of a linear system, we design a new preconditioner as an approximate inverse of the iteration operator, in the particular case of a layered decomposi- tion. We show that it can be rewritten as two independent sequences of subproblem solves (forward and back- ward), hence the name ‘double sweep’. The whole algorithm is implemented as a matrix-free GMRES iteration, that requires no more additional preprocessing than the original algorithm. Numerical experiments indicate that the convergence rate is independent of the wavenumber and number of subdomains when good approximations of the DtN maps are used, in both homogeneous and non-homogeneous cases.
http://hdl.handle.net/2268/171493

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