Matches in SemOpenAlex for { <https://semopenalex.org/work/W3100614128> ?p ?o ?g. }
Showing items 1 to 96 of
96
with 100 items per page.
- W3100614128 endingPage "065004" @default.
- W3100614128 startingPage "065004" @default.
- W3100614128 abstract "We consider the multi-frequency inverse source problem for the scalar Helmholtz equation in the plane. The goal is to reconstruct the source term in the equation from measurements of the solution on a surface outside the support of the source. We study the problem in a certain finite dimensional setting: from measurements made at a finite set of frequencies we uniquely determine and reconstruct sources in a subspace spanned by finitely many Fourier–Bessel functions. Further, we obtain a constructive criterion for identifying a minimal set of measurement frequencies sufficient for reconstruction, and under an additional, mild assumption, the reconstruction method is shown to be stable. Our analysis is based on a singular value decomposition of the source-to-measurement forward operators and the distribution of positive zeros of the Bessel functions of the first kind. The reconstruction method is implemented numerically and our theoretical findings are supported by numerical experiments." @default.
- W3100614128 created "2020-11-23" @default.
- W3100614128 creator A5011302089 @default.
- W3100614128 creator A5089669299 @default.
- W3100614128 creator A5091757272 @default.
- W3100614128 date "2018-04-27" @default.
- W3100614128 modified "2023-10-16" @default.
- W3100614128 title "Stable source reconstruction from a finite number of measurements in the multi-frequency inverse source problem" @default.
- W3100614128 cites W1511572470 @default.
- W3100614128 cites W1966675100 @default.
- W3100614128 cites W1970297574 @default.
- W3100614128 cites W2002393818 @default.
- W3100614128 cites W2008754992 @default.
- W3100614128 cites W2009206771 @default.
- W3100614128 cites W2011718271 @default.
- W3100614128 cites W2020909725 @default.
- W3100614128 cites W2033106066 @default.
- W3100614128 cites W2035664637 @default.
- W3100614128 cites W2037465252 @default.
- W3100614128 cites W2057938864 @default.
- W3100614128 cites W2066466113 @default.
- W3100614128 cites W2079560074 @default.
- W3100614128 cites W2088092215 @default.
- W3100614128 cites W2108177459 @default.
- W3100614128 cites W2157947471 @default.
- W3100614128 cites W2171295578 @default.
- W3100614128 cites W3111811539 @default.
- W3100614128 cites W3217247658 @default.
- W3100614128 cites W4293409666 @default.
- W3100614128 doi "https://doi.org/10.1088/1361-6420/aaba83" @default.
- W3100614128 hasPublicationYear "2018" @default.
- W3100614128 type Work @default.
- W3100614128 sameAs 3100614128 @default.
- W3100614128 citedByCount "4" @default.
- W3100614128 countsByYear W31006141282020 @default.
- W3100614128 countsByYear W31006141282021 @default.
- W3100614128 countsByYear W31006141282022 @default.
- W3100614128 countsByYear W31006141282023 @default.
- W3100614128 crossrefType "journal-article" @default.
- W3100614128 hasAuthorship W3100614128A5011302089 @default.
- W3100614128 hasAuthorship W3100614128A5089669299 @default.
- W3100614128 hasAuthorship W3100614128A5091757272 @default.
- W3100614128 hasBestOaLocation W31006141282 @default.
- W3100614128 hasConcept C102519508 @default.
- W3100614128 hasConcept C107706756 @default.
- W3100614128 hasConcept C11413529 @default.
- W3100614128 hasConcept C134306372 @default.
- W3100614128 hasConcept C135252773 @default.
- W3100614128 hasConcept C162392398 @default.
- W3100614128 hasConcept C182310444 @default.
- W3100614128 hasConcept C18591234 @default.
- W3100614128 hasConcept C207467116 @default.
- W3100614128 hasConcept C22789450 @default.
- W3100614128 hasConcept C2524010 @default.
- W3100614128 hasConcept C28826006 @default.
- W3100614128 hasConcept C32834561 @default.
- W3100614128 hasConcept C33923547 @default.
- W3100614128 hasConcept C57691317 @default.
- W3100614128 hasConceptScore W3100614128C102519508 @default.
- W3100614128 hasConceptScore W3100614128C107706756 @default.
- W3100614128 hasConceptScore W3100614128C11413529 @default.
- W3100614128 hasConceptScore W3100614128C134306372 @default.
- W3100614128 hasConceptScore W3100614128C135252773 @default.
- W3100614128 hasConceptScore W3100614128C162392398 @default.
- W3100614128 hasConceptScore W3100614128C182310444 @default.
- W3100614128 hasConceptScore W3100614128C18591234 @default.
- W3100614128 hasConceptScore W3100614128C207467116 @default.
- W3100614128 hasConceptScore W3100614128C22789450 @default.
- W3100614128 hasConceptScore W3100614128C2524010 @default.
- W3100614128 hasConceptScore W3100614128C28826006 @default.
- W3100614128 hasConceptScore W3100614128C32834561 @default.
- W3100614128 hasConceptScore W3100614128C33923547 @default.
- W3100614128 hasConceptScore W3100614128C57691317 @default.
- W3100614128 hasIssue "6" @default.
- W3100614128 hasLocation W31006141281 @default.
- W3100614128 hasLocation W31006141282 @default.
- W3100614128 hasLocation W31006141283 @default.
- W3100614128 hasOpenAccess W3100614128 @default.
- W3100614128 hasPrimaryLocation W31006141281 @default.
- W3100614128 hasRelatedWork W1487881986 @default.
- W3100614128 hasRelatedWork W2004104617 @default.
- W3100614128 hasRelatedWork W2011718271 @default.
- W3100614128 hasRelatedWork W2089233360 @default.
- W3100614128 hasRelatedWork W2234313894 @default.
- W3100614128 hasRelatedWork W2547259537 @default.
- W3100614128 hasRelatedWork W2609315104 @default.
- W3100614128 hasRelatedWork W3100614128 @default.
- W3100614128 hasRelatedWork W3190255132 @default.
- W3100614128 hasRelatedWork W4283826664 @default.
- W3100614128 hasVolume "34" @default.
- W3100614128 isParatext "false" @default.
- W3100614128 isRetracted "false" @default.
- W3100614128 magId "3100614128" @default.
- W3100614128 workType "article" @default.