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Sibirskii Matematicheskii Zhurnal, 2003, Volume 44, Number 6, Pages 1350–1364 (Mi smj1261)  
This article is cited in 14 scientific papers (total in 14 papers)

The method of fictitious domains in the Signorini problem

V. D. Stepanova, A. M. Khludnevb

a Computer Centre Far-Eastern Branch of RAS
b M. A. Lavrent'ev Institute of Hydrodynamics
Full-text PDF (235 kB) Citations (14)
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Abstract: We justify the method of fictitious domains for an elliptic equation with nonlinear Signorini boundary conditions. The method makes it possible to construct a family of auxiliary problems defined in a wider domain and possessing the property that their solutions converge in an appropriate sense to a solution of the original problem.
Keywords: Signorini boundary conditions, fictitious domain, elliptic boundary value problem.
Received: 24.04.2003
English version:
Siberian Mathematical Journal, 2003, Volume 44, Issue 6, Pages 1061–1074
DOI: https://doi.org/10.1023/B:SIMJ.0000007482.05450.16
Bibliographic databases:
UDC: 517.95
Language: Russian
Citation: V. D. Stepanov, A. M. Khludnev, “The method of fictitious domains in the Signorini problem”, Sibirsk. Mat. Zh., 44:6 (2003), 1350–1364; Siberian Math. J., 44:6 (2003), 1061–1074
Citation in format AMSBIB
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\paper The method of fictitious domains in the Signorini problem
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\issue 6
\pages 1350--1364
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\transl
\jour Siberian Math. J.
\yr 2003
\vol 44
\issue 6
\pages 1061--1074
\crossref{https://doi.org/10.1023/B:SIMJ.0000007482.05450.16}
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    • This publication is cited in the following 14 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
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