Matches in SemOpenAlex for { <https://semopenalex.org/work/W2024708445> ?p ?o ?g. }
- W2024708445 endingPage "095002" @default.
- W2024708445 startingPage "095002" @default.
- W2024708445 abstract "We are interested in the identification of a generalized impedance boundary condition from the far fields created by one or several incident plane waves at a fixed frequency. We focus on the particular case where this boundary condition is expressed with the help of a second-order surface operator: the inverse problem then amounts to retrieve the two functions λ and μ that define this boundary operator. We first derive a global Lipschitz stability result for the identification of λ or μ from the far field for bounded piecewise constant impedance coefficients and give a new type of stability estimate when inexact knowledge of the boundary is assumed. We then introduce an optimization method to identify λ and μ, using in particular an H1-type regularization of the gradient. Finally, we show some numerical results in two dimensions, including a study of the impact of various parameters, and by assuming either an exact knowledge of the shape of the obstacle or an approximate one." @default.
- W2024708445 created "2016-06-24" @default.
- W2024708445 creator A5004138036 @default.
- W2024708445 creator A5048195124 @default.
- W2024708445 creator A5087899446 @default.
- W2024708445 date "2011-07-29" @default.
- W2024708445 modified "2023-09-23" @default.
- W2024708445 title "Stable reconstruction of generalized impedance boundary conditions" @default.
- W2024708445 cites W175246081 @default.
- W2024708445 cites W177735991 @default.
- W2024708445 cites W1968471143 @default.
- W2024708445 cites W1972581758 @default.
- W2024708445 cites W1973110113 @default.
- W2024708445 cites W1983171536 @default.
- W2024708445 cites W1989884953 @default.
- W2024708445 cites W1995372978 @default.
- W2024708445 cites W1998457405 @default.
- W2024708445 cites W1998634742 @default.
- W2024708445 cites W2001471549 @default.
- W2024708445 cites W2011729697 @default.
- W2024708445 cites W2013475155 @default.
- W2024708445 cites W2018207223 @default.
- W2024708445 cites W2026703029 @default.
- W2024708445 cites W2034182704 @default.
- W2024708445 cites W2046860752 @default.
- W2024708445 cites W2047590303 @default.
- W2024708445 cites W2055643558 @default.
- W2024708445 cites W2056663046 @default.
- W2024708445 cites W2063073969 @default.
- W2024708445 cites W2080319134 @default.
- W2024708445 cites W2095463076 @default.
- W2024708445 cites W2160812332 @default.
- W2024708445 cites W2170281603 @default.
- W2024708445 cites W4292027041 @default.
- W2024708445 cites W4292232969 @default.
- W2024708445 doi "https://doi.org/10.1088/0266-5611/27/9/095002" @default.
- W2024708445 hasPublicationYear "2011" @default.
- W2024708445 type Work @default.
- W2024708445 sameAs 2024708445 @default.
- W2024708445 citedByCount "19" @default.
- W2024708445 countsByYear W20247084452013 @default.
- W2024708445 countsByYear W20247084452014 @default.
- W2024708445 countsByYear W20247084452015 @default.
- W2024708445 countsByYear W20247084452016 @default.
- W2024708445 countsByYear W20247084452017 @default.
- W2024708445 countsByYear W20247084452018 @default.
- W2024708445 countsByYear W20247084452019 @default.
- W2024708445 countsByYear W20247084452020 @default.
- W2024708445 countsByYear W20247084452021 @default.
- W2024708445 crossrefType "journal-article" @default.
- W2024708445 hasAuthorship W2024708445A5004138036 @default.
- W2024708445 hasAuthorship W2024708445A5048195124 @default.
- W2024708445 hasAuthorship W2024708445A5087899446 @default.
- W2024708445 hasBestOaLocation W20247084453 @default.
- W2024708445 hasConcept C104317684 @default.
- W2024708445 hasConcept C112972136 @default.
- W2024708445 hasConcept C119857082 @default.
- W2024708445 hasConcept C134306372 @default.
- W2024708445 hasConcept C135252773 @default.
- W2024708445 hasConcept C154945302 @default.
- W2024708445 hasConcept C158448853 @default.
- W2024708445 hasConcept C164660894 @default.
- W2024708445 hasConcept C17020691 @default.
- W2024708445 hasConcept C182310444 @default.
- W2024708445 hasConcept C185592680 @default.
- W2024708445 hasConcept C22324862 @default.
- W2024708445 hasConcept C2776135515 @default.
- W2024708445 hasConcept C33923547 @default.
- W2024708445 hasConcept C34388435 @default.
- W2024708445 hasConcept C41008148 @default.
- W2024708445 hasConcept C55493867 @default.
- W2024708445 hasConcept C62354387 @default.
- W2024708445 hasConcept C86339819 @default.
- W2024708445 hasConceptScore W2024708445C104317684 @default.
- W2024708445 hasConceptScore W2024708445C112972136 @default.
- W2024708445 hasConceptScore W2024708445C119857082 @default.
- W2024708445 hasConceptScore W2024708445C134306372 @default.
- W2024708445 hasConceptScore W2024708445C135252773 @default.
- W2024708445 hasConceptScore W2024708445C154945302 @default.
- W2024708445 hasConceptScore W2024708445C158448853 @default.
- W2024708445 hasConceptScore W2024708445C164660894 @default.
- W2024708445 hasConceptScore W2024708445C17020691 @default.
- W2024708445 hasConceptScore W2024708445C182310444 @default.
- W2024708445 hasConceptScore W2024708445C185592680 @default.
- W2024708445 hasConceptScore W2024708445C22324862 @default.
- W2024708445 hasConceptScore W2024708445C2776135515 @default.
- W2024708445 hasConceptScore W2024708445C33923547 @default.
- W2024708445 hasConceptScore W2024708445C34388435 @default.
- W2024708445 hasConceptScore W2024708445C41008148 @default.
- W2024708445 hasConceptScore W2024708445C55493867 @default.
- W2024708445 hasConceptScore W2024708445C62354387 @default.
- W2024708445 hasConceptScore W2024708445C86339819 @default.
- W2024708445 hasIssue "9" @default.
- W2024708445 hasLocation W20247084451 @default.
- W2024708445 hasLocation W20247084452 @default.
- W2024708445 hasLocation W20247084453 @default.
- W2024708445 hasOpenAccess W2024708445 @default.
- W2024708445 hasPrimaryLocation W20247084451 @default.