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Gavrilyuk A. A. Semenov A. L. Gavrilyuk A. V. Mokhovikov A. Yu. Zubritsky S. M. Petrov A. L. 《Russian Physics Journal》2004,47(7):750-755
It has been studied how the conditions of machining and the elastic tensile stresses affect the magnetic properties of amorphous metal wires of composition Fe75Si10B15 produced by drawing from a melt. The magnetic characteristics of wires subjected to both thermal treatment and treatment with a continuous electric current of different magnitude have been investigated. The residual induction of wires is their magnetic parameter most sensitive to the conditions of treatment. The dependences of the residual induction on temperature and on the magnitude of the treating electric current are qualitatively similar. The greatest changes in residual induction are observed in the range of treating electric currents from 0.5 to 0.8 A, which can be associated with the processes of structural relaxation and crystallization occurring in the wires. The run of the dependence of the residual induction on the magnitude of tensile stresses is nonmonotonic in character and is determined by the level of internal hardening stresses of the test wires. 相似文献
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Methods are proposed for determining the diffusion coefficients of adsorbed molecules and the adsorption isotherms from given concentrations of the solutes in the external solution. The methods are based on a comparison of experimental data with the numerical results produced by a mathematical model of internal-diffusion kinetics of adsorption from a constant bounded volume.Translated from Vychislitel'naya i Prikladnaya Matematika, No. 66, pp. 41–46, 1988. 相似文献
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V. T. Gavrilyuk 《Ukrainian Mathematical Journal》1990,42(6):659-666
Asymptotic estimates, expressed in terms of the value of the modulus of continuity of r-th order (r2) at the point t=/n of a functionf
C
2 or of the (, )-derivative of a functionf
C
B
C, are established for the deviations of continuous periodic functions from their Fourier sums.Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 42, No. 6, pp. 747–755, June, 1990. 相似文献
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I. P. Gavrilyuk 《Journal of Mathematical Sciences》1994,72(3):3045-3052
An O() rate of convergence bound is established for a version of the penalty method for variational inequalities in a reflexive Banach space that are associated with a strongly monotone Lipschitz operator and are subject to cone constraints. It is shown that the fictitious domain method can be interpreted as a penalty method, and the corresponding convergence theorems can be deduced from the general penalty-method theorems. An error bound of the Galerkin method for the penalty problem is proved for the case of variational inequalities in a Banach space densely embedded in a Hilbert space. A convergence theorem is given for an iteration process solving the Galerkin-method finite-dimensional problem.Kiev University. Translated from Vychislitel'naya i Prikladnaya Matematika, No. 75, pp. 3–11, 1991. 相似文献
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Ivan P. Gavrilyuk Wolfgang Hackbusch Boris N. Khoromskij. 《Mathematics of Computation》2005,74(250):681-708
In earlier papers we developed a method for the data-sparse approximation of the solution operators for elliptic, parabolic, and hyperbolic PDEs based on the Dunford-Cauchy representation to the operator-valued functions of interest combined with the hierarchical matrix approximation of the operator resolvents. In the present paper, we discuss how these techniques can be applied to approximate a hierarchy of the operator-valued functions generated by an elliptic operator .
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