Spectral element discretization of the time-dependent Stokes problem with nonstandard boundary conditions
Abstract This work deals with the spectral element discretization of the time-dependent Stokes problem in two- and three-dimensional domains. The boundary condition is defined on the normal component of the velocity and the tangential components of the vorticity. The discretization related to the ti...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2024-01-01
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| Series: | Boundary Value Problems |
| Subjects: | |
| Online Access: | https://doi.org/10.1186/s13661-023-01815-1 |
| _version_ | 1797355660671713280 |
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| author | Mohamed Abdelwahed Nejmeddine Chorfi |
| author_facet | Mohamed Abdelwahed Nejmeddine Chorfi |
| author_sort | Mohamed Abdelwahed |
| collection | DOAJ |
| description | Abstract This work deals with the spectral element discretization of the time-dependent Stokes problem in two- and three-dimensional domains. The boundary condition is defined on the normal component of the velocity and the tangential components of the vorticity. The discretization related to the time variable is processed by a Backward Euler method. We prove through a detailed numerical analysis the well-posedness of the full discrete problem. |
| first_indexed | 2024-03-08T14:14:20Z |
| format | Article |
| id | doaj.art-94c653c76baa443fa6d272a73d202124 |
| institution | Directory Open Access Journal |
| issn | 1687-2770 |
| language | English |
| last_indexed | 2024-03-08T14:14:20Z |
| publishDate | 2024-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Boundary Value Problems |
| spelling | doaj.art-94c653c76baa443fa6d272a73d2021242024-01-14T12:30:36ZengSpringerOpenBoundary Value Problems1687-27702024-01-012024111610.1186/s13661-023-01815-1Spectral element discretization of the time-dependent Stokes problem with nonstandard boundary conditionsMohamed Abdelwahed0Nejmeddine Chorfi1Department of Mathematics, College of Sciences, King Saud UniversityDepartment of Mathematics, College of Sciences, King Saud UniversityAbstract This work deals with the spectral element discretization of the time-dependent Stokes problem in two- and three-dimensional domains. The boundary condition is defined on the normal component of the velocity and the tangential components of the vorticity. The discretization related to the time variable is processed by a Backward Euler method. We prove through a detailed numerical analysis the well-posedness of the full discrete problem.https://doi.org/10.1186/s13661-023-01815-1Time-dependent Stokes problemSpectral element methodImplicit Euler scheme |
| spellingShingle | Mohamed Abdelwahed Nejmeddine Chorfi Spectral element discretization of the time-dependent Stokes problem with nonstandard boundary conditions Boundary Value Problems Time-dependent Stokes problem Spectral element method Implicit Euler scheme |
| title | Spectral element discretization of the time-dependent Stokes problem with nonstandard boundary conditions |
| title_full | Spectral element discretization of the time-dependent Stokes problem with nonstandard boundary conditions |
| title_fullStr | Spectral element discretization of the time-dependent Stokes problem with nonstandard boundary conditions |
| title_full_unstemmed | Spectral element discretization of the time-dependent Stokes problem with nonstandard boundary conditions |
| title_short | Spectral element discretization of the time-dependent Stokes problem with nonstandard boundary conditions |
| title_sort | spectral element discretization of the time dependent stokes problem with nonstandard boundary conditions |
| topic | Time-dependent Stokes problem Spectral element method Implicit Euler scheme |
| url | https://doi.org/10.1186/s13661-023-01815-1 |
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