%0 Journal Article
%T Efficient methods for computing spectral projectors for linearized hydrodynamic equations
%+ Propagation des Ondes : Étude Mathématique et Simulation (POEMS)
%A Hechme, Grace
%A Nechepurenko, Yuri
%A Sadkane, Miloud
%< avec comité de lecture
%@ 1064-8275
%J SIAM Journal on Scientific Computing
%I Society for Industrial and Applied Mathematics
%V 31
%N 1
%P 667-686
%8 2008-12
%D 2008
%R 10.1137/050648122Journal articles
%X This paper presents efficient methods for computing the spectral projectors for hydrodynamic equations, linearized at a steady state and approximated with respect to space. The focus is on the spectral projectors corresponding to a given part of the finite spectrum. In the case when the size of the problem is not too large, a QR-based method is proposed and compared with the $QZ$ method. In the large scale case, two variants of the Jacobi-Davidson method, with a deflation procedure, are developed. In both cases, the computed spectral projectors can be used to construct low-order models suited for the context of hydrodynamic stability. Numerical results are reported.
%G English
%L hal-00976777
%U https://ensta-paris.hal.science/hal-00976777
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