Control of 2D scalar conservation laws in the presence of shocks
Author
dc.contributor.author
Lecaros Lira, Rodrigo
Author
dc.contributor.author
Zuaza, Enrique
Admission date
dc.date.accessioned
2016-06-28T21:28:55Z
Available date
dc.date.available
2016-06-28T21:28:55Z
Publication date
dc.date.issued
2016
Cita de ítem
dc.identifier.citation
Mathematics of Computation Volumen: 85 Número: 299 Páginas: 1183-1224 (2016)
en_US
Identifier
dc.identifier.issn
0025-5718
Identifier
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DOI: 10.1090/mcom/3015
Identifier
dc.identifier.uri
https://repositorio.uchile.cl/handle/2250/139207
General note
dc.description
Artículo de publicación ISI
en_US
Abstract
dc.description.abstract
We analyze a model optimal control problem for a 2D scalar conservation
law: The so-called inverse design problem, the goal being to identify
the initial datum leading to a given nal time con guration. The presence
of shocks is an impediment for classical methods, based on linearization, to
be directly applied. We develop an alternating descent method that exploits
the generalized linearization that takes into account both the sensitivity of
the shock location and of the smooth components of solutions. A numerical
implementation is proposed using splitting and nite di erences. The descent
method we propose is of alternating nature and combines variations taking
account of the shock location and those that take care of the smooth components
of the solution. The e ciency of the method is illustrated by numerical
experiments.
en_US
Patrocinador
dc.description.sponsorship
Basal-CMM project
PFB 03
European Research Council Executive Agency
NUMERIWAVES/FP7-246775
EOARD-AFOSR
FA9550-14-1-0214
BERC program of the Basque Government
PI2010-04
MINECO
MTM2011-29360-C02-00
SEV-2013-0323