Geodesic
Modified boundary element method for the solution of connected problems of mathematical physics
Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 1 (2013), pp. 172-180

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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.
Mots-clés : phase transition
Keywords: open systems, stresses, strains, deformation resource, integral equation, influence function, elliptic and hyperbolic problems. 
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V. P. Fedotov. Modified boundary element method for the solution of connected problems of mathematical physics. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 1 (2013), pp. 172-180. http://geodesic.mathdoc.fr/item/VSGTU_2013_1_a15/