Modified boundary element method for the solution of connected problems of mathematical physics
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 non...
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| Format: | Article |
| Language: | English |
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Samara State Technical University
2013-12-01
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| Series: | Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki |
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| Online Access: | https://journals.eco-vector.com/1991-8615/article/viewFile/34703/23054 |
| _version_ | 1818059923568721920 |
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| author | Vladimir Petrovich Fedotov |
| author_facet | Vladimir Petrovich Fedotov |
| author_sort | Vladimir Petrovich Fedotov |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-12-10T13:24:14Z |
| format | Article |
| id | doaj.art-2a9080d895a84138976cbfaaf9780be5 |
| institution | Directory Open Access Journal |
| issn | 1991-8615 2310-7081 |
| language | English |
| last_indexed | 2024-12-10T13:24:14Z |
| publishDate | 2013-12-01 |
| publisher | Samara State Technical University |
| record_format | Article |
| series | Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki |
| spelling | doaj.art-2a9080d895a84138976cbfaaf9780be52022-12-22T01:47:13ZengSamara State Technical UniversityVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki1991-86152310-70812013-12-0117117218010.14498/vsgtu114831216Modified boundary element method for the solution of connected problems of mathematical physicsVladimir Petrovich Fedotov0Institute of Engineering Science, Urals Branch, Russian Academy of SciencesThe 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.https://journals.eco-vector.com/1991-8615/article/viewFile/34703/23054phase transitionopen systemsstressesstrainsdeformation resourceintegral equationinfluence functionelliptic and hyperbolic problems |
| spellingShingle | Vladimir Petrovich Fedotov Modified boundary element method for the solution of connected problems of mathematical physics Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki phase transition open systems stresses strains deformation resource integral equation influence function elliptic and hyperbolic problems |
| title | Modified boundary element method for the solution of connected problems of mathematical physics |
| title_full | Modified boundary element method for the solution of connected problems of mathematical physics |
| title_fullStr | Modified boundary element method for the solution of connected problems of mathematical physics |
| title_full_unstemmed | Modified boundary element method for the solution of connected problems of mathematical physics |
| title_short | Modified boundary element method for the solution of connected problems of mathematical physics |
| title_sort | modified boundary element method for the solution of connected problems of mathematical physics |
| topic | phase transition open systems stresses strains deformation resource integral equation influence function elliptic and hyperbolic problems |
| url | https://journals.eco-vector.com/1991-8615/article/viewFile/34703/23054 |
| work_keys_str_mv | AT vladimirpetrovichfedotov modifiedboundaryelementmethodforthesolutionofconnectedproblemsofmathematicalphysics |