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

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.

UDC: 519.634

MSC: Primary 65M38, 74S15; Secondary 35Q74

Original article submitted 02/XI/2012
revision submitted – 24/II/2013

DOI: 10.14498/vsgtu1148

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