A Schur-complement model-order-reduction technique for the finite element solution of transient elastohydrodynamic lubrication problems
The current work presents a reduced order finite element modeling framework for the solution of transient elastohydrodynamic lubrication (EHL) problems. The model order reduction technique is based on a Schur-complement method, applied to the elastic part within EHL problems. As such, it is exact an...
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| المؤلف الرئيسي: | |
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| التنسيق: | article |
| منشور في: |
2019
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| الوصول للمادة أونلاين: | http://hdl.handle.net/10725/9970 https://doi.org/10.1016/j.advengsoft.2018.10.007 http://libraries.lau.edu.lb/research/laur/terms-of-use/articles.php https://reader.elsevier.com/reader/sd/pii/S0965997818306070?token=BF772395A5282453D25A312A5CF365F45B8BBC0CA61A4AC699B51E11C73D8771FF7A0CD2621AAC1DB1453E549840D125 |
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| _version_ | 1864513485755383808 |
|---|---|
| author | Habchi, W. |
| author_facet | Habchi, W. |
| author_role | author |
| dc.creator.none.fl_str_mv | Habchi, W. |
| dc.date.none.fl_str_mv | 2019-02-01T07:13:30Z 2019-02-01T07:13:30Z 2019 2019-02-01 |
| dc.identifier.none.fl_str_mv | 0965-9978 http://hdl.handle.net/10725/9970 https://doi.org/10.1016/j.advengsoft.2018.10.007 Habchi, W. (2019). A Schur-complement model-order-reduction technique for the finite element solution of transient elastohydrodynamic lubrication problems. Advances in Engineering Software, 127, 28-37. http://libraries.lau.edu.lb/research/laur/terms-of-use/articles.php https://reader.elsevier.com/reader/sd/pii/S0965997818306070?token=BF772395A5282453D25A312A5CF365F45B8BBC0CA61A4AC699B51E11C73D8771FF7A0CD2621AAC1DB1453E549840D125 |
| dc.language.none.fl_str_mv | en |
| dc.relation.none.fl_str_mv | Advances in Engineering Software |
| dc.rights.*.fl_str_mv | info:eu-repo/semantics/openAccess |
| dc.title.none.fl_str_mv | A Schur-complement model-order-reduction technique for the finite element solution of transient elastohydrodynamic lubrication problems |
| dc.type.none.fl_str_mv | Article info:eu-repo/semantics/publishedVersion info:eu-repo/semantics/article |
| description | The current work presents a reduced order finite element modeling framework for the solution of transient elastohydrodynamic lubrication (EHL) problems. The model order reduction technique is based on a Schur-complement method, applied to the elastic part within EHL problems. As such, it is exact and introduces no additional errors to the solution, with respect to the standard non-reduced finite element model. The technique reduces by one, the dimension of the linear elasticity part within the EHL problem. The use of the Schur-complement method however leads to a semi-dense Jacobian matrix. This is why the technique is complemented with a splitting procedure, allowing it to retrieve a standard finite-element-like sparsity pattern. In terms of computational performance, it is shown through a set of numerical experiments that the proposed reduced model offers a speed-up in computational times of the order of 15:1, compared to the equivalent full model, without any compromise on the accuracy of the solution. |
| eu_rights_str_mv | openAccess |
| format | article |
| id | LAURepo_084c2b8ff27a20feb58fe93b06ea2714 |
| identifier_str_mv | 0965-9978 Habchi, W. (2019). A Schur-complement model-order-reduction technique for the finite element solution of transient elastohydrodynamic lubrication problems. Advances in Engineering Software, 127, 28-37. |
| language_invalid_str_mv | en |
| network_acronym_str | LAURepo |
| network_name_str | Lebanese American University repository |
| oai_identifier_str | oai:laur.lau.edu.lb:10725/9970 |
| publishDate | 2019 |
| repository.mail.fl_str_mv | |
| repository.name.fl_str_mv | |
| repository_id_str | |
| spelling | A Schur-complement model-order-reduction technique for the finite element solution of transient elastohydrodynamic lubrication problemsHabchi, W.The current work presents a reduced order finite element modeling framework for the solution of transient elastohydrodynamic lubrication (EHL) problems. The model order reduction technique is based on a Schur-complement method, applied to the elastic part within EHL problems. As such, it is exact and introduces no additional errors to the solution, with respect to the standard non-reduced finite element model. The technique reduces by one, the dimension of the linear elasticity part within the EHL problem. The use of the Schur-complement method however leads to a semi-dense Jacobian matrix. This is why the technique is complemented with a splitting procedure, allowing it to retrieve a standard finite-element-like sparsity pattern. In terms of computational performance, it is shown through a set of numerical experiments that the proposed reduced model offers a speed-up in computational times of the order of 15:1, compared to the equivalent full model, without any compromise on the accuracy of the solution.Published2019-02-01T07:13:30Z2019-02-01T07:13:30Z20192019-02-01Articleinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article0965-9978http://hdl.handle.net/10725/9970https://doi.org/10.1016/j.advengsoft.2018.10.007Habchi, W. (2019). A Schur-complement model-order-reduction technique for the finite element solution of transient elastohydrodynamic lubrication problems. Advances in Engineering Software, 127, 28-37.http://libraries.lau.edu.lb/research/laur/terms-of-use/articles.phphttps://reader.elsevier.com/reader/sd/pii/S0965997818306070?token=BF772395A5282453D25A312A5CF365F45B8BBC0CA61A4AC699B51E11C73D8771FF7A0CD2621AAC1DB1453E549840D125enAdvances in Engineering Softwareinfo:eu-repo/semantics/openAccessoai:laur.lau.edu.lb:10725/99702021-03-19T09:59:51Z |
| spellingShingle | A Schur-complement model-order-reduction technique for the finite element solution of transient elastohydrodynamic lubrication problems Habchi, W. |
| status_str | publishedVersion |
| title | A Schur-complement model-order-reduction technique for the finite element solution of transient elastohydrodynamic lubrication problems |
| title_full | A Schur-complement model-order-reduction technique for the finite element solution of transient elastohydrodynamic lubrication problems |
| title_fullStr | A Schur-complement model-order-reduction technique for the finite element solution of transient elastohydrodynamic lubrication problems |
| title_full_unstemmed | A Schur-complement model-order-reduction technique for the finite element solution of transient elastohydrodynamic lubrication problems |
| title_short | A Schur-complement model-order-reduction technique for the finite element solution of transient elastohydrodynamic lubrication problems |
| title_sort | A Schur-complement model-order-reduction technique for the finite element solution of transient elastohydrodynamic lubrication problems |
| url | http://hdl.handle.net/10725/9970 https://doi.org/10.1016/j.advengsoft.2018.10.007 http://libraries.lau.edu.lb/research/laur/terms-of-use/articles.php https://reader.elsevier.com/reader/sd/pii/S0965997818306070?token=BF772395A5282453D25A312A5CF365F45B8BBC0CA61A4AC699B51E11C73D8771FF7A0CD2621AAC1DB1453E549840D125 |