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Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]:
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Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, 2013, Issue 1(30), Pages 172–180
DOI: https://doi.org/10.14498/vsgtu1148 (Mi vsgtu1148) 		 
Procedings of the 3nd International Conference "Mathematical Physics and its Applications"
Equations of Mathematical Physics

Modified boundary element method for the solution of connected problems of mathematical physics

V. P. Fedotov

Institute of Engineering Science, Urals Branch, Russian Academy of Sciences, Ekaterinburg, 620049, Russia
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DOI: https://doi.org/10.14498/vsgtu1148
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.
Keywords: phase transition, open systems, stresses, strains, deformation resource, integral equation, influence function, elliptic and hyperbolic problems.
Funding agency Grant number
Russian Academy of Sciences - Federal Agency for Scientific Organizations 12-П-1-1031
12-П-1-1028
Original article submitted 02/XI/2012
revision submitted – 24/II/2013
Bibliographic databases:
Document Type: Article
UDC: 519.634
MSC: Primary 65M38, 74S15; Secondary 35Q74
Language: Russian
Citation: V. P. Fedotov, “Modified boundary element method for the solution of connected problems of mathematical physics”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 1(30) (2013), 172–180
Citation in format AMSBIB
\Bibitem{Fed13}
\by V.~P.~Fedotov
\paper Modified boundary element method for the solution of connected problems of mathematical physics
\jour Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]
\yr 2013
\vol 1(30)
\pages 172--180
\mathnet{http://mi.mathnet.ru/vsgtu1148}
\crossref{https://doi.org/10.14498/vsgtu1148}
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    		Вестник Самарского государственного технического университета. Серия: Физико-математические науки
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    References:48
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