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A Schur-complement model-order-reduction technique for the finite element solution of transient elastohydrodynamic lubrication problems

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dc.contributor.author Habchi, W.
dc.date.accessioned 2019-02-01T07:13:30Z
dc.date.available 2019-02-01T07:13:30Z
dc.date.copyright 2019 en_US
dc.identifier.issn 0965-9978 en_US
dc.identifier.uri http://hdl.handle.net/10725/9970
dc.description.abstract 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. en_US
dc.language.iso en en_US
dc.title A Schur-complement model-order-reduction technique for the finite element solution of transient elastohydrodynamic lubrication problems en_US
dc.type Article en_US
dc.description.version Published en_US
dc.author.school SOE en_US
dc.author.idnumber 200804200 en_US
dc.author.department Industrial And Mechanical Engineering en_US
dc.relation.journal Advances in Engineering Software en_US
dc.journal.volume 127 en_US
dc.article.pages 28-37 en_US
dc.identifier.doi https://doi.org/10.1016/j.advengsoft.2018.10.007 en_US
dc.identifier.ctation 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. en_US
dc.author.email wassim.habchi@lau.edu.lb en_US
dc.identifier.tou http://libraries.lau.edu.lb/research/laur/terms-of-use/articles.php en_US
dc.identifier.url https://reader.elsevier.com/reader/sd/pii/S0965997818306070?token=BF772395A5282453D25A312A5CF365F45B8BBC0CA61A4AC699B51E11C73D8771FF7A0CD2621AAC1DB1453E549840D125 en_US
dc.author.affiliation Lebanese American University en_US


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