About: Optimal multigrid preconditioned semi-monotonic augmented Lagrangians applied to the Stokes problem

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About: Optimal multigrid preconditioned semi-monotonic augmented Lagrangians applied to the Stokes problem Goto Sponge NotDistinct Permalink

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	We propose an optimal computational complexity algorithm for the solution of quadratic programming problems with equality constraints arising from partial differential equations. The algorithm combines a variant of the semi--monotonic augmented Lagrangian (SMALE) method with adaptive precision control and a multigrid preconditioning. Namely, we build multigrid preconditioners for the Hessian of the quadratics and for the inner product on the space of Lagrange variables. In our approach there is no need for preconditioning of the constraints. The optimality of the algorithm is theoretically proven and confirmed by numerical experiments for the 2--dimensional Stokes problem. We propose an optimal computational complexity algorithm for the solution of quadratic programming problems with equality constraints arising from partial differential equations. The algorithm combines a variant of the semi--monotonic augmented Lagrangian (SMALE) method with adaptive precision control and a multigrid preconditioning. Namely, we build multigrid preconditioners for the Hessian of the quadratics and for the inner product on the space of Lagrange variables. In our approach there is no need for preconditioning of the constraints. The optimality of the algorithm is theoretically proven and confirmed by numerical experiments for the 2--dimensional Stokes problem. (en)
Title	Optimal multigrid preconditioned semi-monotonic augmented Lagrangians applied to the Stokes problem Optimal multigrid preconditioned semi-monotonic augmented Lagrangians applied to the Stokes problem (en)
skos:prefLabel	Optimal multigrid preconditioned semi-monotonic augmented Lagrangians applied to the Stokes problem Optimal multigrid preconditioned semi-monotonic augmented Lagrangians applied to the Stokes problem (en)
skos:notation	RIV/61989100:27240/07:00014982!RIV12-GA0-27240___
http://linked.open...avai/riv/aktivita	P Z
http://linked.open...avai/riv/aktivity	P(1ET400300415), P(GP201/05/P008), Z(MSM6198910027)
http://linked.open...iv/cisloPeriodika	9
http://linked.open...vai/riv/dodaniDat	2012
http://linked.open...aciTvurceVysledku	Dostál, Zdeněk Lukáš, Dalibor
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Vysoká škola báňská - Technická univerzita Ostrava / Fakulta elektrotechniky a informatiky
http://linked.open...dnocenehoVysledku	439749
http://linked.open...ai/riv/idVysledku	RIV/61989100:27240/07:00014982
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	Stokes problem; augmented Lagrangians; multigrid (en)
http://linked.open.../riv/klicoveSlovo	multigrid Stokes problem augmented Lagrangians
http://linked.open...odStatuVydavatele	GB - Spojené království Velké Británie a Severního Irska
http://linked.open...ontrolniKodProRIV	[ED3D4DF4C8CA]
http://linked.open...i/riv/nazevZdroje	Numerical Linear Algebra with Applications
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	2 (xsd:int)
http://linked.open...cetTvurcuVysledku	2 (xsd:int)
http://linked.open...vavai/riv/projekt	Modelling and simulation of complex technical problems:effective numerical algorithms and parallel implementation using new information technologie Development of adaptive multi-level methods for 3-dimensional optimal topology and shape design in electromagnetism
http://linked.open...UplatneniVysledku	2007
http://linked.open...v/svazekPeriodika	14
http://linked.open...iv/tvurceVysledku	Dostál, Zdeněk Lukáš, Dalibor
http://linked.open...ain/vavai/riv/wos	000250976900004
http://linked.open...n/vavai/riv/zamer	Výpočetně náročné počítačové simulace a optimalizace
issn	1070-5325
number of pages	10 (xsd:int)
http://bibframe.org/vocab/doi	10.1002/nla.552
http://localhost/t...ganizacniJednotka	27240

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