dc.creator | Gutiérrez Santacreu, Juan Vicente | es |
dc.creator | Maj, Omar | es |
dc.creator | Restelli, Marco | es |
dc.date.accessioned | 2019-10-18T08:05:26Z | |
dc.date.available | 2019-10-18T08:05:26Z | |
dc.date.issued | 2018 | |
dc.identifier.citation | Gutiérrez Santacreu, J.V., Maj, O. y Restelli, M. (2018). Finite element discretization of a Stokes-like model arising inplasma physics. Journal of Computational Physics, 373 (november 2018), 811-834. | |
dc.identifier.issn | 0021-9991 | es |
dc.identifier.uri | https://hdl.handle.net/11441/89741 | |
dc.description.abstract | We consider a time-dependent diffusion-reaction model for two vector unknowns, satisfying
a divergence-free constraint, and the associated scalar Lagrange multiplier. The motivation
for studying such a model is provided by a plasma physics problem arising in the modeling
of nuclear fusion devices (Braginskii equations), where the two vector unknowns represent ion
and electron velocities, the scalar unknown is the electrostatic potential and the divergence-free
constraint reflects the physical assumption of quasi-neutrality. We first recast the problem in a
form reminiscent of the standard Stokes problem, which allows us to recognize the importance
of using a compatible discretization for the vector and scalar unknowns, then propose and
analyze a stable finite element formulation. Following this, we address some peculiar geometrical
aspects of the model, showing how they can be naturally dealt with within our formulation,
and finally discuss a solution procedure for the resulting linear system based on the classical
Uzawa algorithm. Some numerical experiments complete the paper. | es |
dc.description.sponsorship | European Commission No 633053 | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | Elsevier | es |
dc.relation.ispartof | Journal of Computational Physics, 373 (november 2018), 811-834. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Finite elements | es |
dc.subject | Inf-sup stable discretization | es |
dc.subject | Braginskii equations | es |
dc.subject | Quasi-neutrality condition | es |
dc.subject | Plasma physics | es |
dc.subject | Tokamak modeling | es |
dc.title | Finite element discretization of a Stokes-like model arising inplasma physics | 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 Matemática Aplicada I (ETSII) | es |
dc.relation.projectID | No 633053 | es |
dc.relation.publisherversion | https://www.sciencedirect.com/science/article/pii/S0021999118304248 | es |
dc.identifier.doi | 10.1016/j.jcp.2018.06.046 | es |
idus.format.extent | 34 | es |
dc.journaltitle | Journal of Computational Physics | es |
dc.publication.volumen | 373 | es |
dc.publication.issue | november 2018 | es |
dc.publication.initialPage | 811 | es |
dc.publication.endPage | 834 | es |