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JOURNALS // Numerical methods and programming // Archive

Num. Meth. Prog., 2003 Volume 4, Issue 1, Pages 227–243 (Mi vmp719)

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.

UDC: 519.614.2



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