On the two dimensional wave equation in time-dependent domains.
| dc.contributor.author | Lamrad, Haroun | |
| dc.date.accessioned | 2021-07-12T11:17:05Z | |
| dc.date.available | 2021-07-12T11:17:05Z | |
| dc.date.issued | 2021 | |
| dc.description.abstract | We consider the 2-dimensional wave equation in non-cylindrical domains, i.e. domains depending on time. We rst use a penalization method depending on a parameter ". The obtained problem is a wave equation, posed in a cylindrical domain, with a penalized weak damping term. If the domain is expanding with time, we show that the solution of the penalized problem converges to the solution of the original problem, as " ! 0. Finally, to obtain a numerical approximation of solutions, we combine this penalization method with an explicit nite di erences approach. | en_US |
| dc.identifier.uri | http://dspace.univ-msila.dz:8080//xmlui/handle/123456789/24857 | |
| dc.language.iso | en | en_US |
| dc.publisher | Faculty of Mathematics and computer sciences Department of Mathematics - Option : PDEs and application | en_US |
| dc.subject | Wave equation, non-cylindrical domains, penalization method, nite di erences. | en_US |
| dc.title | On the two dimensional wave equation in time-dependent domains. | en_US |
| dc.type | Thesis | en_US |