A duality-type method for the obstacle problem
Based on a duality property, we solve the obstacle problem on Sobolev spaces of higher order. We have considered a new type of approximate problem and with the help of the duality we reduce it to a quadratic optimization problem, which can be solved much easier.
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| Format: | Article |
| Language: | English |
| Published: |
Sciendo
2013-11-01
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| Series: | Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica |
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| Online Access: | https://doi.org/10.2478/auom-2013-0051 |
| _version_ | 1818745235917766656 |
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| author | Merlusca Diana Rodica |
| author_facet | Merlusca Diana Rodica |
| author_sort | Merlusca Diana Rodica |
| collection | DOAJ |
| description | Based on a duality property, we solve the obstacle problem on Sobolev spaces of higher order. We have considered a new type of approximate problem and with the help of the duality we reduce it to a quadratic optimization problem, which can be solved much easier. |
| first_indexed | 2024-12-18T02:56:59Z |
| format | Article |
| id | doaj.art-d879550b2223452cbc9bd23adee342f7 |
| institution | Directory Open Access Journal |
| issn | 1844-0835 |
| language | English |
| last_indexed | 2024-12-18T02:56:59Z |
| publishDate | 2013-11-01 |
| publisher | Sciendo |
| record_format | Article |
| series | Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica |
| spelling | doaj.art-d879550b2223452cbc9bd23adee342f72022-12-21T21:23:21ZengSciendoAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica1844-08352013-11-0121318119610.2478/auom-2013-0051A duality-type method for the obstacle problemMerlusca Diana Rodica0Institute ”Simion Stoilow” of Mathematics (Romanian Academy), Calea Grivitei, nr.21, Sector 1, BucurestiBased on a duality property, we solve the obstacle problem on Sobolev spaces of higher order. We have considered a new type of approximate problem and with the help of the duality we reduce it to a quadratic optimization problem, which can be solved much easier.https://doi.org/10.2478/auom-2013-0051obstacle problemdual problem |
| spellingShingle | Merlusca Diana Rodica A duality-type method for the obstacle problem Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica obstacle problem dual problem |
| title | A duality-type method for the obstacle problem |
| title_full | A duality-type method for the obstacle problem |
| title_fullStr | A duality-type method for the obstacle problem |
| title_full_unstemmed | A duality-type method for the obstacle problem |
| title_short | A duality-type method for the obstacle problem |
| title_sort | duality type method for the obstacle problem |
| topic | obstacle problem dual problem |
| url | https://doi.org/10.2478/auom-2013-0051 |
| work_keys_str_mv | AT merluscadianarodica adualitytypemethodfortheobstacleproblem AT merluscadianarodica dualitytypemethodfortheobstacleproblem |