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Sibirskii Matematicheskii Zhurnal, 2003, Volume 44, Number 6, Pages 1350–1364
(Mi smj1261)
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This article is cited in 15 scientific papers (total in 15 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
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
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
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https://www.mathnet.ru/eng/smj1261 https://www.mathnet.ru/eng/smj/v44/i6/p1350
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Abstract page: | 591 | Full-text PDF : | 190 | References: | 64 |
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