2016-04-07

Sweeping Preconditioning, Source Transfer and optimized Schwarz Methods

Dr. Martin Gander, Université de Genève

2 May 2016, 16:15–17:45; Location: S2|17-103

Absorbing boundary conditions and perfectly matched layers are not only useful for the truncation of computational domains, they can also be very effectively used to obtain preconditioners. This was first realized in the context of Schwarz methods about 20 years ago, in the research group around Frederic Nataf and Laurence Halpern, and led to the class of optimized Schwarz methods. Around the same time, very similar mathematical concepts also appeared in approximate factorizations, which led to the class of frequency filtering and AILU preconditioners. More recent interest in these methods was sparked by the difficulty to solve Helmholtz and Maxwell problems by iterative methods, and the introduction of the sweeping preconditioners by Engquist et al. and source transfer domain decomposition methods by Chen et al. I will present the relation between all these techniques in the context of optimal and optimized Schwarz methods.

Category: CE Seminar

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Technische Universität Darmstadt

Graduate School CE
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