Generalized Chessboard Structures Whose Effective Conductivities Are Integer Valued
We consider generalized chessboard structures where the local conductivity takes two values 𝑎 and 𝑏. All integer combinations of 𝑎 and 𝑏 which make the components of effective conductivity matrix integer valued are found. Moreover, we discuss the problem of estimating the effective conductivity matr...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
|
| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/874239 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832567570990891008 |
|---|---|
| author | Dag Lukkassen Annette Meidell |
| author_facet | Dag Lukkassen Annette Meidell |
| author_sort | Dag Lukkassen |
| collection | DOAJ |
| description | We consider generalized chessboard structures where the local conductivity takes two values 𝑎 and 𝑏. All integer combinations of 𝑎 and 𝑏 which make the components of effective conductivity matrix integer valued are found. Moreover, we discuss the problem of estimating the effective conductivity matrix by using the finite-element method. |
| format | Article |
| id | doaj-art-28540f5372e04626a47a3eed6d901be0 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-28540f5372e04626a47a3eed6d901be02025-02-03T01:01:05ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/874239874239Generalized Chessboard Structures Whose Effective Conductivities Are Integer ValuedDag Lukkassen0Annette Meidell1Narvik University College, P.O. Box 385, 8505 Narvik, NorwayNarvik University College, P.O. Box 385, 8505 Narvik, NorwayWe consider generalized chessboard structures where the local conductivity takes two values 𝑎 and 𝑏. All integer combinations of 𝑎 and 𝑏 which make the components of effective conductivity matrix integer valued are found. Moreover, we discuss the problem of estimating the effective conductivity matrix by using the finite-element method.http://dx.doi.org/10.1155/2012/874239 |
| spellingShingle | Dag Lukkassen Annette Meidell Generalized Chessboard Structures Whose Effective Conductivities Are Integer Valued Journal of Applied Mathematics |
| title | Generalized Chessboard Structures Whose Effective Conductivities Are Integer Valued |
| title_full | Generalized Chessboard Structures Whose Effective Conductivities Are Integer Valued |
| title_fullStr | Generalized Chessboard Structures Whose Effective Conductivities Are Integer Valued |
| title_full_unstemmed | Generalized Chessboard Structures Whose Effective Conductivities Are Integer Valued |
| title_short | Generalized Chessboard Structures Whose Effective Conductivities Are Integer Valued |
| title_sort | generalized chessboard structures whose effective conductivities are integer valued |
| url | http://dx.doi.org/10.1155/2012/874239 |
| work_keys_str_mv | AT daglukkassen generalizedchessboardstructureswhoseeffectiveconductivitiesareintegervalued AT annettemeidell generalizedchessboardstructureswhoseeffectiveconductivitiesareintegervalued |