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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 1990, Volume 30, Number 12, Pages 1797–1803
(Mi zvmmf3162)
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This article is cited in 1 scientific paper (total in 1 paper)
The multigrid method applied to a finite-element scheme for a two-dimensional Stokes-type system
B. V. Pal'tsev, I. I. Chechel' Moscow
Abstract:
A two-dimensional system of the Stokes type, in which the coefficient of the highest order derivatives is a small parameter $\varepsilon>0$, is considered, and a version of the multigrid method is developed to handle a finite-element scheme for the system, obtained by using biquadratic elements for the velocities, linear elements for the pressure and an approximatively-solenoidal basis. Approximatively-solenoidal interpolations are defined and used to design the coarse-grid bases. Numerical experiments demonstrate a high rate of convergence even for very small $\varepsilon$ values.
Received: 24.04.1990
Citation:
B. V. Pal'tsev, I. I. Chechel', “The multigrid method applied to a finite-element scheme for a two-dimensional Stokes-type system”, Zh. Vychisl. Mat. Mat. Fiz., 30:12 (1990), 1797–1803; U.S.S.R. Comput. Math. Math. Phys., 30:6 (1990), 141–146
Linking options:
https://www.mathnet.ru/eng/zvmmf3162 https://www.mathnet.ru/eng/zvmmf/v30/i12/p1797
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Abstract page: | 175 | Full-text PDF : | 80 | References: | 38 | First page: | 1 |
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