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Goal-oriented adaptive finite element methods with optimal computational complexity
dc.contributor.author | Becker, Roland | |
dc.contributor.author | Gantner, Gregor | |
dc.contributor.author | Innerberger, Michael | |
dc.contributor.author | Praetorius, Dirk | |
dc.date.accessioned | 2021-06-15T08:59:49Z | |
dc.date.available | 2021-06-15T08:59:49Z | |
dc.date.issued | 2021 | |
dc.identifier.citation | Becker, R. et al. (2021) Goal-oriented adaptive finite element methods with optimal computational complexity. En Gallego, R. y Mateos, M.(editores) Proceedings of the XXVI Congreso de Ecuaciones Diferenciales y Aplicaciones. XVI Congreso de Matemática Aplicada (pp. 65-72). Oviedo : Universidad de Oviedo, Servicio de Publicaciones | |
dc.identifier.isbn | 978-84-18482-21-2 | |
dc.identifier.uri | http://hdl.handle.net/10651/59060 | |
dc.description.abstract | We consider a linear symmetric and elliptic partial differential equation (PDE) and a linear goal functional. We design a goal-oriented adaptive finite element method (GOAFEM), which steers the adaptive mesh-refinement as well as the approximate solution of the arising linear systems by means of a contractive iterative solver like the optimally preconditioned conjugate gradient method (PCG). We prove linear convergence of the proposed adaptive algorithm with optimal algebraic rates with respect to the number of degrees of freedom as well as the computational cost. | spa |
dc.format.extent | p. 65-72 | spa |
dc.language.iso | eng | spa |
dc.publisher | Servicio de Publicaciones de la Universidad de Oviedo | spa |
dc.relation.ispartof | Proceedings of the XXVI Congreso de Ecuaciones Diferenciales y Aplicaciones. XVI Congreso de Matemática Aplicada | spa |
dc.rights | © Los autores | |
dc.rights | © 2021 Universidad de Oviedo | |
dc.rights | CC Reconocimiento - No comercial - Sin obras derivadas 3.0 España | |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ | |
dc.title | Goal-oriented adaptive finite element methods with optimal computational complexity | spa |
dc.type | book part | spa |
dc.rights.accessRights | open access | |
dc.type.hasVersion | VoR |
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XXVI Congreso de Ecuaciones Diferenciales y Aplicaciones. XVI Congreso de Matemática Aplicada [55]
Recoge las actas del XXVI Congreso de Ecuaciones Diferenciales y Aplicaciones. XVI Congreso de Matemática Aplicada