Baran I. High-accuracy computing algorithms and the automated system for computation of diffusion processes in heterogeneous environments

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0404U000336

Applicant for

Specialization

  • 01.05.02 - Математичне моделювання та обчислювальні методи

05-01-2004

Specialized Academic Board

K 58.052.01

Essay

Stationary processes of diffusion and fluid filtration in heterogeneous environments. To build up an automated dialogue system for modeling of diffusion processes in heterogeneous environments with thin insertions. Methods of research: the methodology of using classes of discontinuous functions for building equivalent combined problems, means of functional analysis and object-oriented programming. The higher order accuracy algorithms of finite elements method for numerical calculation of mixed boundary value problems with conjugate conditions were built and the automated system of calculation of diffusion processes in heterogeneous environments based on the algorithms was built. Spheres of usage are: constructios of avia-, hydraulic engineering and metallurgy.

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