This article is cited in 17 papers

The method of fictitious domains in the Signorini problem

V. D. Stepanov^a, A. M. Khludnev<sup>b

a</sup> 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.

UDC: 517.95

Received: 24.04.2003

 English version: Siberian Mathematical Journal, 2003, 44:6, 1061–1074

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