dc.creator | Badia Rodríguez, Santiago | es |
dc.creator | Guillén González, Francisco Manuel | es |
dc.creator | Gutiérrez Santacreu, Juan Vicente | es |
dc.date.accessioned | 2016-10-21T06:26:54Z | |
dc.date.available | 2016-10-21T06:26:54Z | |
dc.date.issued | 2011-02-20 | |
dc.identifier.citation | Badia Rodríguez, S., Guillén González, F.M. y Gutiérrez Santacreu, J.V. (2011). Finite element approximation of nematic liquid crystal flows using a saddle-point structure. Journal of Computational Physics, 230 (4), 1686-1706. | |
dc.identifier.issn | 0021-9991 | es |
dc.identifier.uri | http://hdl.handle.net/11441/47881 | |
dc.description.abstract | In this work, we propose finite element schemes for the numerical approximation of nematic liquid crystal flows, based on a saddle-point formulation of the director vector sub-problem. It introduces a Lagrange
multiplier that allows to enforce the sphere condition. In this setting, we can consider the limit problem (without penalty) and the penalized problem (using a Ginzburg-Landau penalty function) in a unified way. Further, the
resulting schemes have an stable behavior with respect to the value of the penalty parameter, a key difference with respect to the existing schemes. Two different methods have been considered for the time integration. First, we have considered an implicit algorithm that is unconditionally stable and energy preserving. The linearization of the problem at every time step value can be performed using a quasi-Newton method that allows to decouple fluid
velocity and director vector computations for every tangent problem. Then, we have designed a linear semi-implicit algorithm (i.e. it does not involve nonlinear iterations) and proved that it is unconditionally stable, verifying a discrete energy inequality. Finally, some numerical simulations are provided. | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | Elsevier | es |
dc.relation.ispartof | Journal of Computational Physics, 230 (4), 1686-1706. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Nematic liquid crystals | es |
dc.subject | Finite element methods | es |
dc.subject | Saddle-point problems | es |
dc.subject | Ericksen-Leslie problem | es |
dc.subject | Ginzburg-Landau problem | es |
dc.title | Finite element approximation of nematic liquid crystal flows using a saddle-point structure | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/submittedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico | es |
dc.relation.publisherversion | http://ac.els-cdn.com/S0021999110006480/1-s2.0-S0021999110006480-main.pdf?_tid=2af03aec-9757-11e6-841d-00000aab0f26&acdnat=1477031312_1c8d84f0648f9e0479ad2befa1460b00 | es |
dc.identifier.doi | 10.1016/j.jcp.2010.11.033 | es |
dc.contributor.group | Universidad de Sevilla. FQM131: Ec.diferenciales,Simulación Num.y Desarrollo Software | es |
idus.format.extent | 31 p. | es |
dc.journaltitle | Journal of Computational Physics | es |
dc.publication.volumen | 230 | es |
dc.publication.issue | 4 | es |
dc.publication.initialPage | 1686 | es |
dc.publication.endPage | 1706 | es |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/47881 | |