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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2006, Volume 255, Pages 99–115 (Mi tm256)  
This article is cited in 6 scientific papers (total in 6 papers)

Grid Approximation of the First Derivatives of the Solution to the Dirichlet Problem for the Laplace Equation on a Polygon

E. A. Volkov

Steklov Mathematical Institute, Russian Academy of Sciences
Full-text PDF (234 kB) Citations (6)
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Abstract: Using the method of composite square and polar grids, we construct approximations of the first derivatives of the solution to the Dirichlet problem for the Laplace equation on a polygon and find error estimates for such approximations.
Received in March 2006
English version:
Proceedings of the Steklov Institute of Mathematics, 2006, Volume 255, Pages 92–107
DOI: https://doi.org/10.1134/S0081543806040080
Bibliographic databases:
Document Type: Article
UDC: 519.632.4
Language: Russian
Citation: E. A. Volkov, “Grid Approximation of the First Derivatives of the Solution to the Dirichlet Problem for the Laplace Equation on a Polygon”, Function spaces, approximation theory, and nonlinear analysis, Collected papers, Trudy Mat. Inst. Steklova, 255, Nauka, MAIK «Nauka/Inteperiodika», M., 2006, 99–115; Proc. Steklov Inst. Math., 255 (2006), 92–107
Citation in format AMSBIB
\Bibitem{Vol06}
\by E.~A.~Volkov
\paper Grid Approximation of the First Derivatives of the Solution to the Dirichlet Problem for the Laplace Equation on a~Polygon
\inbook Function spaces, approximation theory, and nonlinear analysis
\bookinfo Collected papers
\serial Trudy Mat. Inst. Steklova
\yr 2006
\vol 255
\pages 99--115
\publ Nauka, MAIK «Nauka/Inteperiodika»
\publaddr M.
\mathnet{http://mi.mathnet.ru/tm256}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2301612}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2006
\vol 255
\pages 92--107
\crossref{https://doi.org/10.1134/S0081543806040080}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33846864660}
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    • This publication is cited in the following 6 articles:
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