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Matematicheskoe modelirovanie, 1990, Volume 2, Number 4, Pages 121–132 (Mi mm2359)  

Computational methods and algorithms

On the numerical solution of $2m$-th elliptic problems by least squares method using splines on rectangular grids

N. A. Marchenko, V. I. Pavlov

Keldysh Applied Mathematics Institute, Academy of Sciences of the USSR
Abstract: The least squares method is proposed for numerical solution of $2m$-th – order elliptic problems with arbitrary boundary conditions. The method utilizes spline approximation on retangular grids, which are not adjusted to the shapes of the region under study. The results of investigations of 2-nd and 4-th order problems related to the elastisity theory are represented.
Received: 08.01.1990
Bibliographic databases:
UDC: 519.61
Language: Russian
Citation: N. A. Marchenko, V. I. Pavlov, “On the numerical solution of $2m$-th elliptic problems by least squares method using splines on rectangular grids”, Matem. Mod., 2:4 (1990), 121–132
Citation in format AMSBIB
\Bibitem{MarPav90}
\by N.~A.~Marchenko, V.~I.~Pavlov
\paper On the numerical solution of~$2m$-th elliptic problems by least squares method using splines on rectangular grids
\jour Matem. Mod.
\yr 1990
\vol 2
\issue 4
\pages 121--132
\mathnet{http://mi.mathnet.ru/mm2359}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1064470}
\zmath{https://zbmath.org/?q=an:0974.65524}
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    Математическое моделирование
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