Numerical solution of some spectral problems for the Stokes equations
Numerical methods and programming, Tome 4 (2003) no. 1, pp. 227-243
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We consider a number of methods for computing the lower part of spectrum for the Stokes equations. The task is to find some minimal eigenvalues and corresponding eigenfunctions; when the eigensubspaces are many-dimensional, we construct a basis in each of them. The complete set of algorithms and several examples of numerical results obtained on rectangular domains are given.
Keywords:
partial spectral problem, Stokes problem, Lanczos method.
@article{VMP_2003_4_1_a24,
author = {A. A. Ivanchikov},
title = {Numerical solution of some spectral problems for the {Stokes} equations},
journal = {Numerical methods and programming},
pages = {227--243},
year = {2003},
volume = {4},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VMP_2003_4_1_a24/}
}
A. A. Ivanchikov. Numerical solution of some spectral problems for the Stokes equations. Numerical methods and programming, Tome 4 (2003) no. 1, pp. 227-243. http://geodesic.mathdoc.fr/item/VMP_2003_4_1_a24/