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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2005, Volume 45, Number 2, Pages 287–297 (Mi zvmmf706)  
This article is cited in 1 scientific paper (total in 1 paper)

Convergence of finite-difference schemes for Poisson's equation with a dynamic boundary condition

L. G. Volkova, B. S. Jovanovićb

a Angel Kanchev University of Ruse
b University of Belgrade
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Abstract: The convergence of a finite-difference scheme applied to a two-dimensional elliptic equation with a dynamic boundary condition is analyzed. An estimate for the convergence rate is derived that is nearly compatible with the smoothness of the solution to the original boundary value problem (with an additional logarithmic factor) in a special discrete norm of the Sobolev type.
Key words: elliptic equations, dynamic boundary condition, finite-difference scheme, weak solution, convergence rate.
Received: 27.06.2003
Revised: 31.05.2004
Bibliographic databases:
Document Type: Article
UDC: 519.632.4
Language: Russian
Citation: L. G. Volkov, B. S. Jovanović, “Convergence of finite-difference schemes for Poisson's equation with a dynamic boundary condition”, Zh. Vychisl. Mat. Mat. Fiz., 45:2 (2005), 287–297; Comput. Math. Math. Phys., 45:2 (2005), 275–284
Citation in format AMSBIB
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\by L.~G.~Volkov, B.~S.~Jovanovi{\'c}
\paper Convergence of finite-difference schemes for Poisson's equation with a dynamic boundary condition
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2005
\vol 45
\issue 2
\pages 287--297
\mathnet{http://mi.mathnet.ru/zvmmf706}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2158670}
\zmath{https://zbmath.org/?q=an:1072.65136}
\transl
\jour Comput. Math. Math. Phys.
\yr 2005
\vol 45
\issue 2
\pages 275--284
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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