Abstract
A mixed initial boundary-value problem for the system of equations of dynamic consolidation of water-saturated soils is considered. Error estimates are obtained for time-continuous and fully discrete approximate generalized solutions based on the finite element method.
Similar content being viewed by others
REFERENCES
V. S. Deineka, I. V. Sergienko, and V. V. Skopetskii, Models and Methods for Solving Problems with Conjugation Conditions [in Russian], Nauk. Dumka, Kiev (1998).
V. V. Skopetskii, O. A. Marchenko, and N. A. Lezhnina, “Systems analysis of plants affected by interacting processes,” Kibern. Sist. Analiz, No. 6, 54-66 (2001).
Yu. K. Zaretskii and V. N. Lombardo, Statics and Dynamics of Soil Dams [in Russian], Energoatomizdat, Moscow (1983).
M. Zlamal, “On the finite element methods,” Numer. Math., 12, 394-409 (1968).
A. Zenisek, “Convergence of a finite element procedure for solving boundary value problem of the system of elliptic equations,” Appl. Mat., 14, No. 5, 39-45 (1969).
Garth A. Baker, “Error estimates for finite element methods for second order hyperbolic equations,” SIAM J. Numer. Anal., 13, No. 4, 564-576 (1976).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Skopetskii, V.V., Marchenko, O.A. Analysis of Systems of Anisotropic Media Dynamic Consolidation. Cybernetics and Systems Analysis 39, 586–603 (2003). https://doi.org/10.1023/B:CASA.0000003508.60010.46
Issue Date:
DOI: https://doi.org/10.1023/B:CASA.0000003508.60010.46