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Numerical methods and programming, 2003, Volume 4, Issue 1, Pages 227–243
(Mi vmp719)
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Numerical solution of some spectral problems for the Stokes equations
A. A. Ivanchikov Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Abstract:
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.
Citation:
A. A. Ivanchikov, “Numerical solution of some spectral problems for the Stokes equations”, Num. Meth. Prog., 4:1 (2003), 227–243
Linking options:
https://www.mathnet.ru/eng/vmp719 https://www.mathnet.ru/eng/vmp/v4/i1/p227
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| Statistics & downloads: |
| Abstract page: | 154 | | Full-text PDF : | 98 | | References: | 3 |
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