Email this article Modified boundary element method for the solution of connected problems of mathematical physics
- Authors: Fedotov V.P.1
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Affiliations:
- Institute of Engineering Science, Urals Branch, Russian Academy of Sciences
- Issue: Vol 17, No 1 (2013)
- Pages: 172-180
- Section: Articles
- URL: https://ogarev-online.ru/1991-8615/article/view/34703
- DOI: https://doi.org/10.14498/vsgtu1148
- ID: 34703
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Abstract
The modified boundary element method for physico-mathematical modeling of the multifactorial processes is offered for discussion. Physical modeling based on the Onsager's theorem about the relationship between generalized forces and fluxes where we assume the coefficients of reciprocity are nonlinear. The approach is illustrated by the example of the strain diagram. Mathematical modeling is based on a modification of the BEM where all incorrect procedures of the numerical differentiation and integration were replaced by preliminary analytical calculations.
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##article.viewOnOriginalSite##About the authors
Vladimir Petrovich Fedotov
Institute of Engineering Science, Urals Branch, Russian Academy of Sciences
Email: fedotov_vp@mail.ru, fedotov@imach.uran.ru
Doctor of technical sciences, Main Scientist Researcher
References
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- I. Prigogine, Introduction to thermodynamics of irreversible processes, 3d ed, Interscience Publishers, New York, 1967, xv+147 pp.
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- В. П. Федотов, Л. Ф. Спевак, Решение связных диффузионно-деформационных задач на основе алгоритмов параллельного действия, УрО РАН, Екатеринбург, 2007, 172 с.
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