Matches in SemOpenAlex for { <https://semopenalex.org/work/W1503758506> ?p ?o ?g. }
Showing items 1 to 92 of
92
with 100 items per page.
- W1503758506 endingPage "2070" @default.
- W1503758506 startingPage "2025" @default.
- W1503758506 abstract "We consider the problem of flux identification for 1-d scalar conservation laws formulating it as an optimal control problem. We introduce a new optimization strategy to compute numerical approximations of minimizing fluxes. We first prove the existence of minimizers. We also prove the convergence of discrete minima obtained by means of monotone numerical approximation schemes, by a <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=normal upper Gamma> <mml:semantics> <mml:mi mathvariant=normal>Γ<!-- Γ --></mml:mi> <mml:annotation encoding=application/x-tex>Gamma</mml:annotation> </mml:semantics> </mml:math> </inline-formula>-convergence argument. Then we address the problem of developing efficient descent algorithms. We first consider and compare the existing two possible approaches. The first one, the so-called discrete approach, based on a direct computation of gradients in the discrete problem and the so-called continuous one, where the discrete descent direction is obtained as a discrete copy of the continuous one. When optimal solutions have shock discontinuities, both approaches produce highly oscillating minimizing sequences and the effective descent rate is very weak. As a remedy we adapt the method of alternating descent directions that uses the recent developments of generalized tangent vectors and the linearization around discontinuous solutions, introduced by the authors, in collaboration with F. Palacios, in the case where the control is the initial datum. This method distinguishes descent directions that move the shock and those that perturb the profile of the solution away from it. As we shall see, a suitable alternating combination of these two classes of descent directions allows building more efficient and faster descent algorithms." @default.
- W1503758506 created "2016-06-24" @default.
- W1503758506 creator A5082970311 @default.
- W1503758506 creator A5088702266 @default.
- W1503758506 date "2011-03-22" @default.
- W1503758506 modified "2023-10-06" @default.
- W1503758506 title "Flux identification for 1-𝐝 scalar conservation laws in the presence of shocks" @default.
- W1503758506 cites W1539037864 @default.
- W1503758506 cites W1554134448 @default.
- W1503758506 cites W1555627060 @default.
- W1503758506 cites W1580248330 @default.
- W1503758506 cites W1968156414 @default.
- W1503758506 cites W1971728915 @default.
- W1503758506 cites W1981515050 @default.
- W1503758506 cites W1987679260 @default.
- W1503758506 cites W1992812527 @default.
- W1503758506 cites W2008809901 @default.
- W1503758506 cites W2010685672 @default.
- W1503758506 cites W2020828244 @default.
- W1503758506 cites W2023421695 @default.
- W1503758506 cites W2048436845 @default.
- W1503758506 cites W2054856063 @default.
- W1503758506 cites W2070533863 @default.
- W1503758506 cites W2090829125 @default.
- W1503758506 cites W2091704977 @default.
- W1503758506 cites W2092044089 @default.
- W1503758506 cites W2094251381 @default.
- W1503758506 cites W2098101757 @default.
- W1503758506 cites W2208814128 @default.
- W1503758506 cites W2242596538 @default.
- W1503758506 cites W4232499108 @default.
- W1503758506 doi "https://doi.org/10.1090/s0025-5718-2011-02465-8" @default.
- W1503758506 hasPublicationYear "2011" @default.
- W1503758506 type Work @default.
- W1503758506 sameAs 1503758506 @default.
- W1503758506 citedByCount "17" @default.
- W1503758506 countsByYear W15037585062012 @default.
- W1503758506 countsByYear W15037585062013 @default.
- W1503758506 countsByYear W15037585062014 @default.
- W1503758506 countsByYear W15037585062015 @default.
- W1503758506 countsByYear W15037585062016 @default.
- W1503758506 countsByYear W15037585062017 @default.
- W1503758506 countsByYear W15037585062018 @default.
- W1503758506 countsByYear W15037585062020 @default.
- W1503758506 countsByYear W15037585062022 @default.
- W1503758506 countsByYear W15037585062023 @default.
- W1503758506 crossrefType "journal-article" @default.
- W1503758506 hasAuthorship W1503758506A5082970311 @default.
- W1503758506 hasAuthorship W1503758506A5088702266 @default.
- W1503758506 hasBestOaLocation W15037585061 @default.
- W1503758506 hasConcept C11413529 @default.
- W1503758506 hasConcept C126255220 @default.
- W1503758506 hasConcept C134306372 @default.
- W1503758506 hasConcept C154945302 @default.
- W1503758506 hasConcept C206688291 @default.
- W1503758506 hasConcept C28826006 @default.
- W1503758506 hasConcept C33923547 @default.
- W1503758506 hasConcept C3445786 @default.
- W1503758506 hasConcept C41008148 @default.
- W1503758506 hasConcept C50644808 @default.
- W1503758506 hasConceptScore W1503758506C11413529 @default.
- W1503758506 hasConceptScore W1503758506C126255220 @default.
- W1503758506 hasConceptScore W1503758506C134306372 @default.
- W1503758506 hasConceptScore W1503758506C154945302 @default.
- W1503758506 hasConceptScore W1503758506C206688291 @default.
- W1503758506 hasConceptScore W1503758506C28826006 @default.
- W1503758506 hasConceptScore W1503758506C33923547 @default.
- W1503758506 hasConceptScore W1503758506C3445786 @default.
- W1503758506 hasConceptScore W1503758506C41008148 @default.
- W1503758506 hasConceptScore W1503758506C50644808 @default.
- W1503758506 hasIssue "276" @default.
- W1503758506 hasLocation W15037585061 @default.
- W1503758506 hasLocation W15037585062 @default.
- W1503758506 hasOpenAccess W1503758506 @default.
- W1503758506 hasPrimaryLocation W15037585061 @default.
- W1503758506 hasRelatedWork W1987371472 @default.
- W1503758506 hasRelatedWork W1994109492 @default.
- W1503758506 hasRelatedWork W2056340257 @default.
- W1503758506 hasRelatedWork W2089811522 @default.
- W1503758506 hasRelatedWork W2092244978 @default.
- W1503758506 hasRelatedWork W2268950858 @default.
- W1503758506 hasRelatedWork W2351859806 @default.
- W1503758506 hasRelatedWork W2538389011 @default.
- W1503758506 hasRelatedWork W3082678133 @default.
- W1503758506 hasRelatedWork W4239376463 @default.
- W1503758506 hasVolume "80" @default.
- W1503758506 isParatext "false" @default.
- W1503758506 isRetracted "false" @default.
- W1503758506 magId "1503758506" @default.
- W1503758506 workType "article" @default.