dc.creator | Anaya Domínguez, Verónica | |
dc.creator | Caraballo, Rubén | |
dc.creator | Gómez Vargas, Bryan Andrés | |
dc.creator | Mora Herrera, David | |
dc.creator | Ruiz Baier, Ricardo | |
dc.date.accessioned | 2022-04-20T17:00:12Z | |
dc.date.available | 2022-04-20T17:00:12Z | |
dc.date.issued | 2021 | |
dc.identifier.citation | https://link.springer.com/article/10.1007/s10092-021-00433-6 | es_ES |
dc.identifier.issn | 0008-0624 | |
dc.identifier.issn | 1126-5434 | |
dc.identifier.uri | https://hdl.handle.net/10669/86465 | |
dc.description.abstract | We propose and analyse an augmented mixed finite element method for the Oseen equations written in terms of velocity, vorticity, and pressure with non-constant viscosity and homogeneous Dirichlet boundary condition for the velocity. The weak formulation includes least-squares terms arising from the constitutive equation and from the incompressibility condition, and we show that it satisfies the hypotheses of the Babuška-Brezzi theory. Repeating the arguments of the continuous analysis, the stability and solvability of the discrete problem are established. The method is suited for any Stokes inf-sup stable finite element pair for velocity and pressure, while for vorticity any generic discrete space (of arbitrary order) can be used. A priori and a posteriori error estimates are derived using two specific families of discrete subspaces. Finally, we provide a set of numerical tests illustrating the behaviour of the scheme, verifying the theoretical convergence rates, and showing the performance of the adaptive algorithm guided by residual a posteriori error estimation | es_ES |
dc.description.sponsorship | Universidad del Bio-Bio/[2020127 IF/R]//Chile | es_ES |
dc.description.sponsorship | Universidad del Bio-Bio/[194608 GI/C]//Chile | es_ES |
dc.description.sponsorship | Fondo Nacional de Desarrollo Científico y Tecnológico/[1211265]/FONDECYT/Chile | es_ES |
dc.description.sponsorship | Fondo Nacional de Desarrollo Científico y Tecnológico/[AFB170001]/FONDECYT/Chile | es_ES |
dc.description.sponsorship | Fondo Nacional de Desarrollo Científico y Tecnológico/[S05802-3951284]/FONDECYT/Chile | es_ES |
dc.description.sponsorship | HPC-Europa3 Transnational Access programme/[HPC175QA9K]/HPC-Europa3/España | es_ES |
dc.description.sponsorship | Ministry of Science and Higher Education of the Russian Federation/[075-15-2020-926]//Rusia | es_ES |
dc.language.iso | eng | es_ES |
dc.source | Calcolo, vol.58(4), pp.1-25. | es_ES |
dc.subject | Oseen equations | es_ES |
dc.subject | Velocity-vorticity-pressure formulation | es_ES |
dc.subject | Mixed finite element methods | es_ES |
dc.subject | Variable viscosity | es_ES |
dc.subject | A priori and a posteriori error analysis | es_ES |
dc.subject | Adaptive mesh refinement | es_ES |
dc.title | Velocity‑vorticity‑pressure formulation for the Oseen problem with variable viscosity | es_ES |
dc.type | artículo original | es_ES |
dc.identifier.doi | 10.1007/s10092-021-00433-6 | |
dc.description.procedence | UCR::Sedes Regionales::Sede de Occidente | es_ES |
dc.description.procedence | UCR::Vicerrectoría de Docencia::Ciencias Básicas::Facultad de Ciencias::Escuela de Matemática | es_ES |