dc.creator | Guillén González, Francisco Manuel | es |
dc.creator | Gutiérrez Santacreu, Juan Vicente | es |
dc.date.accessioned | 2019-10-17T11:03:17Z | |
dc.date.available | 2019-10-17T11:03:17Z | |
dc.date.issued | 2011 | |
dc.identifier.citation | Guillén González, F.M. y Gutiérrez Santacreu, J.V. (2011). Error estimates of a linear decoupled Euler–FEM scheme for a mass diffusion model. Numerische Mathematik, 117 (2), 333-371. | |
dc.identifier.issn | 0029-599X | es |
dc.identifier.uri | https://hdl.handle.net/11441/89720 | |
dc.description.abstract | We present error estimates of a linear fully discrete scheme for a threedimensional
mass diffusion model for incompressible fluids (also called Kazhikhov–
Smagulov model). All unknowns of the model (velocity, pressure and density) are
approximated in space by C0-finite elements and in time an Euler type scheme is
used decoupling the density from the velocity–pressure pair. If we assume that the
velocity and pressure finite-element spaces satisfy the inf–sup condition and the
density finite-element space contains the products of any two discrete veloci-ties, we
first obtain point-wise stability estimates for the density, under the constraint
lim(h,k)→0 h/k = 0 (h and k being the space and time discrete parameters, respectively),
and error estimates for the velocity and density in energy type norms, at the
same time. Afterwards, error estimates for the density in stronger norms are
deduced. All these error estimates will be optimal (of order O(h + k)) for regular
enough solu-tions without imposing nonlocal compatibility conditions at the initial
time. Finally, we also study two convergent iterative methods for the two problems
to solve at each time step, which hold constant matrices (independent of iterations). | es |
dc.description.sponsorship | Ministerio de Educación y Ciencia MTM2006-07932 | es |
dc.description.sponsorship | Junta de Andalucía P06-FQM-02373 | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | Springer | es |
dc.relation.ispartof | Numerische Mathematik, 117 (2), 333-371. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.title | Error estimates of a linear decoupled Euler–FEM scheme for a mass diffusion model | 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.contributor.affiliation | Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII) | es |
dc.relation.projectID | MTM2006-07932 | es |
dc.relation.projectID | P06-FQM-02373 | es |
dc.relation.publisherversion | https://link.springer.com/article/10.1007/s00211-010-0330-7 | es |
dc.identifier.doi | 10.1007/s00211-010-0330-7 | es |
idus.format.extent | 39 | es |
dc.journaltitle | Numerische Mathematik | es |
dc.publication.volumen | 117 | es |
dc.publication.issue | 2 | es |
dc.publication.initialPage | 333 | es |
dc.publication.endPage | 371 | es |