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Goal-oriented adaptive finite element methods with optimal computational complexity

dc.contributor.authorBecker, Roland
dc.contributor.authorGantner, Gregor
dc.contributor.authorInnerberger, Michael
dc.contributor.authorPraetorius, Dirk
dc.date.accessioned2021-06-15T08:59:49Z
dc.date.available2021-06-15T08:59:49Z
dc.date.issued2021
dc.identifier.citationBecker, 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.isbn978-84-18482-21-2
dc.identifier.urihttp://hdl.handle.net/10651/59060
dc.description.abstractWe 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.extentp. 65-72spa
dc.language.isoengspa
dc.publisherServicio de Publicaciones de la Universidad de Oviedospa
dc.relation.ispartofProceedings of the XXVI Congreso de Ecuaciones Diferenciales y Aplicaciones. XVI Congreso de Matemática Aplicadaspa
dc.rights© Los autores
dc.rights© 2021 Universidad de Oviedo
dc.rightsCC Reconocimiento - No comercial - Sin obras derivadas 3.0 España
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.titleGoal-oriented adaptive finite element methods with optimal computational complexityspa
dc.typebook partspa
dc.rights.accessRightsopen access
dc.type.hasVersionVoR


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