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DC Field | Value | Language |
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dc.contributor.advisor | Merabet, Ismail | - |
dc.contributor.author | Djidour, Faiza | - |
dc.date.accessioned | 2022-06-23T11:46:49Z | - |
dc.date.available | 2022-06-23T11:46:49Z | - |
dc.date.issued | 2022 | - |
dc.identifier.uri | https://dspace.univ-ouargla.dz/jspui/handle/123456789/29729 | - |
dc.description | Modélisation et analyse numérique | en_US |
dc.description.abstract | Le but de ce travail est de donner une m´ethode d’approximation par ´el´ements finis du probl`eme de Signorini sans frottement. Le mod`ele math´ematique correspondant au probl`eme m´ecanique est formul´e en fonction d’une in´equation variationnelle elliptique. Les conditions aux limites de contact sont celles de Signorini. Nous rappelons un r´esultat d’existance et d’unicit´e de la solution variationnelle de probl`eme, ensuite nous proposons un sch´ema d’approximation de la solution et on montre que cette solution approch´ee converge vers la solution faible du probl`eme m´ecanique. En fin ont donne une estimation abstraite de l’erreur | en_US |
dc.description.abstract | The aim of this work is to give a method of approximation by finite elements of the Signorini problem without friction. The mathematical model corresponding to the mechanical problem is formulated according to an elliptical variational inequation. The boundary conditions of contact are those of Signorini. We remind a result of existence and of unicity of the variational solution of the problem, then we propose an approximation scheme of the solution and we prove that this approximate solution converges towards the weak solution of mechanical problem. Finally we give an abstract estimate of the error. | - |
dc.language.iso | fr | en_US |
dc.publisher | UNIVERSITÉ KASDI MERBAH OUARGLA | en_US |
dc.subject | Approximation | en_US |
dc.subject | solution faible | en_US |
dc.subject | condition de Signorini | en_US |
dc.subject | contact | en_US |
dc.subject | elasticit´e | en_US |
dc.title | Approximation par éléments finis du problème de Signorini scalaire | en_US |
dc.type | Thesis | en_US |
Appears in Collections: | Département de Mathématiques - Master |
Files in This Item:
File | Description | Size | Format | |
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Djidour-Faiza.pdf | 1,05 MB | Adobe PDF | View/Open |
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