Discretization of the stationary distribution of heat in the non-homogeneous body
We give a short survey on the theory of the mixed boundary-value problem for the stationary Fourier equation in a non-homogeneous medium defined on any Lipschitz domain \(\Omega\subset\mathbb{R}^n\) (\(n\geq 2\)). The compatibility condition for the thermal flux has been established by the standard...
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| Format: | Article |
| Language: | English |
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AGH Univeristy of Science and Technology Press
2004-01-01
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| Series: | Opuscula Mathematica |
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| Online Access: | http://www.opuscula.agh.edu.pl/vol24/1/art/opuscula_math_2402.pdf |
| _version_ | 1818903844820615168 |
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| author | Bogusław Bożek |
| author_facet | Bogusław Bożek |
| author_sort | Bogusław Bożek |
| collection | DOAJ |
| description | We give a short survey on the theory of the mixed boundary-value problem for the stationary Fourier equation in a non-homogeneous medium defined on any Lipschitz domain \(\Omega\subset\mathbb{R}^n\) (\(n\geq 2\)). The compatibility condition for the thermal flux has been established by the standard procedure of integration the divergence. |
| first_indexed | 2024-12-19T20:58:00Z |
| format | Article |
| id | doaj.art-5b71e26037fc4518a4978c389f6f9157 |
| institution | Directory Open Access Journal |
| issn | 1232-9274 |
| language | English |
| last_indexed | 2024-12-19T20:58:00Z |
| publishDate | 2004-01-01 |
| publisher | AGH Univeristy of Science and Technology Press |
| record_format | Article |
| series | Opuscula Mathematica |
| spelling | doaj.art-5b71e26037fc4518a4978c389f6f91572022-12-21T20:05:54ZengAGH Univeristy of Science and Technology PressOpuscula Mathematica1232-92742004-01-0124119332402Discretization of the stationary distribution of heat in the non-homogeneous bodyBogusław Bożek0AGH University of Science and Technology, Faculty of Applied Mathematics, al. Mickiewicza 30, 30-059 Cracow, PolandWe give a short survey on the theory of the mixed boundary-value problem for the stationary Fourier equation in a non-homogeneous medium defined on any Lipschitz domain \(\Omega\subset\mathbb{R}^n\) (\(n\geq 2\)). The compatibility condition for the thermal flux has been established by the standard procedure of integration the divergence.http://www.opuscula.agh.edu.pl/vol24/1/art/opuscula_math_2402.pdfelliptic partial differential equationsstationary distribution of heatdiscretization method |
| spellingShingle | Bogusław Bożek Discretization of the stationary distribution of heat in the non-homogeneous body Opuscula Mathematica elliptic partial differential equations stationary distribution of heat discretization method |
| title | Discretization of the stationary distribution of heat in the non-homogeneous body |
| title_full | Discretization of the stationary distribution of heat in the non-homogeneous body |
| title_fullStr | Discretization of the stationary distribution of heat in the non-homogeneous body |
| title_full_unstemmed | Discretization of the stationary distribution of heat in the non-homogeneous body |
| title_short | Discretization of the stationary distribution of heat in the non-homogeneous body |
| title_sort | discretization of the stationary distribution of heat in the non homogeneous body |
| topic | elliptic partial differential equations stationary distribution of heat discretization method |
| url | http://www.opuscula.agh.edu.pl/vol24/1/art/opuscula_math_2402.pdf |
| work_keys_str_mv | AT bogusławbozek discretizationofthestationarydistributionofheatinthenonhomogeneousbody |