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IssuesArchive of Issues2002-6pp.57-63

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S. L. Gladkii and L. N. Yasnitskii, "On the estimation of the error of the fictitious canonical domain method," Mech. Solids. 37 (6), 57-63 (2002)
Year 2002 Volume 37 Number 6 Pages 57-63
Title On the estimation of the error of the fictitious canonical domain method
Author(s) S. L. Gladkii (Perm)
L. N. Yasnitskii (Perm)
Abstract Issues related to the numerical implementation and error estimation of the fictitious canonical domain method are considered. The potentials of this method as compared with those of the finite element method are illustrated by solving a test problem.
References
1.  L. N. Yasnitskii, "On one method for solving problems of the theory of harmonic functions and linear elasticity," in Strength and Hydraulic Characteristics of Structures and Machines [in Russian], pp. 78-83, Izd-vo PPI, Perm, 1973.
2.  L. N. Yasnitskii, Fictitious Canonical Domain Method in Continuum Mechanics [in Russian], Nauka, Moscow, 1992.
3.  L. N. Yasnitskii, "Superposition of the basis solutions in Trefftz-type methods, Izv. AN SSSR. MTT [Mechanics of Solids], No. 2, pp. 95-101, 1989.
4.  L. N. Yasnitskii, "Formation of the computational domain in the fictitious canonical domain method," Izv. AN SSSR. MTT [Mechanics of Solids], No. 6, pp. 168-172, 1990.
5.  L. S. Leibenzon, Variational Methods for Solving Problems of Elasticity [in Russian], Gostekhizdat, Moscow, Leningrad, 1943.
6.  S. P. Timoshenko, Theory of Elasticity [Russian translation], Gostekhizdat, Leningrad, Moscow, 1934.
7.  R. Hallagerr, Finite Element Method. Fundamentals [Russian translation], Mir, Moscow, 1984.
Received 01 December 2000
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