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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 1979, Volume 19, Number 1, Pages 143–155 (Mi zvmmf5378)  
Iterative methods for solving linear and quasilinear projection-difference analogs of fourth-order boundary-value problems

N. A. Strelkov

Yaroslavl'
Full-text PDF (1248 kB)
Abstract: Projection-difference methods are constructed and investigated for solving fourth-order elliptic equations, for which efficient iterative methods can be used in a rectangle, on one part of whose boundary Dirichlet conditions, and on the other part natural boundary conditions are specified. The linear and non-linear problems of the equilibrium of a rectangular plate are studied as examples.
Received: 26.09.1977
English version:
USSR Computational Mathematics and Mathematical Physics, 1979, Volume 19, Issue 1, Pages 147–160
DOI: https://doi.org/10.1016/0041-5553(79)90074-0
Bibliographic databases:
Document Type: Article
UDC: 519.624.3
MSC: Primary 65N22; Secondary 65F10, 35J40, 74K20
Language: Russian
Citation: N. A. Strelkov, “Iterative methods for solving linear and quasilinear projection-difference analogs of fourth-order boundary-value problems”, Zh. Vychisl. Mat. Mat. Fiz., 19:1 (1979), 143–155; U.S.S.R. Comput. Math. Math. Phys., 19:1 (1979), 147–160
Citation in format AMSBIB
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\by N.~A.~Strelkov
\paper Iterative methods for solving linear and quasilinear projection-difference analogs of fourth-order boundary-value problems
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 1979
\vol 19
\issue 1
\pages 143--155
\mathnet{http://mi.mathnet.ru/zvmmf5378}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=525473}
\zmath{https://zbmath.org/?q=an:0434.65078}
\transl
\jour U.S.S.R. Comput. Math. Math. Phys.
\yr 1979
\vol 19
\issue 1
\pages 147--160
\crossref{https://doi.org/10.1016/0041-5553(79)90074-0}
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