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A. V. Meleshko
A. V. Meleshko
Saint Petersburg State Mining University
Saint Petersburg State Mining University

Articles

Nanotechnologies and information technologies
  • Date submitted
    2011-08-09
  • Date accepted
    2011-10-22
  • Date published
    2012-02-01

The algorithm of numerical solution the non-linear boundary value problems of geomechanics

Article preview

This article is devoted to the algorithm of the forecast of stress and strain state nonho-mogeneous layered physical nonlinear rock massif. The modeling based on applying the whole package of computational methods: variational method, discrete continuation on numeric parameter method, quasi-linearization of nonlinear value boundary problem, finite difference method, Thomas algorithm and iterative  process.

How to cite: Gospodarikov A.P., Zatsepin M.A., Meleshko A.V. The algorithm of numerical solution the non-linear boundary value problems of geomechanics // Journal of Mining Institute. 2012. Vol. 196. p. 306.
Humanities and fundamental researches
  • Date submitted
    2008-09-07
  • Date accepted
    2008-11-02
  • Date published
    2009-03-01

Numerical modeling on the basis of the method of finite differences of some applied problems of geomechanics

Article preview

Development of computer engineering in mathematical modeling gives a possibility to use the numerical methods parallel with the analytical methods. Among them finite difference method, finite elements method, boundary element method and others. FDM is the effective one, which can be used in geomechanical problems extensively.

How to cite: Gospodarikov A.P., Zatsepin M.A., Meleshko A.V. Numerical modeling on the basis of the method of finite differences of some applied problems of geomechanics // Journal of Mining Institute. 2009. Vol. 182. p. 238-240.