Matches in SemOpenAlex for { <https://semopenalex.org/work/W3025640218> ?p ?o ?g. }
Showing items 1 to 77 of
77
with 100 items per page.
- W3025640218 endingPage "482" @default.
- W3025640218 startingPage "463" @default.
- W3025640218 abstract "This paper concerns the reconstruction of a scalar coefficient of a second-order elliptic equation in divergence form posed on a bounded domain from internal data. This theory finds applications in multi-wave imaging, greedy methods to approximate parameter-dependent elliptic problems, and image treatment with partial differential equations. We first show that the inverse problem for smooth coefficients can be rewritten as a linear transport equation. Assuming that the coefficient is known near the boundary, we study the well-posedness of associated transport equation as well as its numerical resolution using discontinuous Galerkin method. We propose a regularized transport equation that allow us to derive rigorous convergence rates of the numerical method in terms of the order of the polynomial approximation as well as the regularization parameter. We finally provide numerical examples for the inversion assuming a lower regularity of the coefficient, and using synthetic data." @default.
- W3025640218 created "2020-05-21" @default.
- W3025640218 creator A5012050594 @default.
- W3025640218 creator A5070871777 @default.
- W3025640218 date "2023-06-01" @default.
- W3025640218 modified "2023-10-16" @default.
- W3025640218 title "Inverse conductivity Problem with Internal Data" @default.
- W3025640218 cites W140909251 @default.
- W3025640218 cites W1984259047 @default.
- W3025640218 cites W1992920929 @default.
- W3025640218 cites W2039055345 @default.
- W3025640218 cites W2082707061 @default.
- W3025640218 cites W2084994665 @default.
- W3025640218 cites W2150323068 @default.
- W3025640218 cites W2526945995 @default.
- W3025640218 cites W2963974297 @default.
- W3025640218 cites W2964009937 @default.
- W3025640218 cites W2964159112 @default.
- W3025640218 cites W3101928665 @default.
- W3025640218 cites W3102033881 @default.
- W3025640218 cites W628726389 @default.
- W3025640218 cites W636003024 @default.
- W3025640218 cites W639693100 @default.
- W3025640218 doi "https://doi.org/10.4208/jcm.2111-m2021-0093" @default.
- W3025640218 hasPublicationYear "2023" @default.
- W3025640218 type Work @default.
- W3025640218 sameAs 3025640218 @default.
- W3025640218 citedByCount "1" @default.
- W3025640218 countsByYear W30256402182021 @default.
- W3025640218 crossrefType "journal-article" @default.
- W3025640218 hasAuthorship W3025640218A5012050594 @default.
- W3025640218 hasAuthorship W3025640218A5070871777 @default.
- W3025640218 hasBestOaLocation W30256402184 @default.
- W3025640218 hasConcept C121332964 @default.
- W3025640218 hasConcept C131540310 @default.
- W3025640218 hasConcept C134306372 @default.
- W3025640218 hasConcept C135252773 @default.
- W3025640218 hasConcept C192562407 @default.
- W3025640218 hasConcept C207467116 @default.
- W3025640218 hasConcept C2524010 @default.
- W3025640218 hasConcept C28826006 @default.
- W3025640218 hasConcept C33923547 @default.
- W3025640218 hasConcept C62520636 @default.
- W3025640218 hasConceptScore W3025640218C121332964 @default.
- W3025640218 hasConceptScore W3025640218C131540310 @default.
- W3025640218 hasConceptScore W3025640218C134306372 @default.
- W3025640218 hasConceptScore W3025640218C135252773 @default.
- W3025640218 hasConceptScore W3025640218C192562407 @default.
- W3025640218 hasConceptScore W3025640218C207467116 @default.
- W3025640218 hasConceptScore W3025640218C2524010 @default.
- W3025640218 hasConceptScore W3025640218C28826006 @default.
- W3025640218 hasConceptScore W3025640218C33923547 @default.
- W3025640218 hasConceptScore W3025640218C62520636 @default.
- W3025640218 hasIssue "3" @default.
- W3025640218 hasLocation W30256402181 @default.
- W3025640218 hasLocation W30256402182 @default.
- W3025640218 hasLocation W30256402183 @default.
- W3025640218 hasLocation W30256402184 @default.
- W3025640218 hasOpenAccess W3025640218 @default.
- W3025640218 hasPrimaryLocation W30256402181 @default.
- W3025640218 hasRelatedWork W1512208174 @default.
- W3025640218 hasRelatedWork W2080181849 @default.
- W3025640218 hasRelatedWork W2124458868 @default.
- W3025640218 hasRelatedWork W2157646637 @default.
- W3025640218 hasRelatedWork W2298446516 @default.
- W3025640218 hasRelatedWork W2313042761 @default.
- W3025640218 hasRelatedWork W2329424818 @default.
- W3025640218 hasRelatedWork W2356364244 @default.
- W3025640218 hasRelatedWork W3007430728 @default.
- W3025640218 hasRelatedWork W4242766352 @default.
- W3025640218 hasVolume "41" @default.
- W3025640218 isParatext "false" @default.
- W3025640218 isRetracted "false" @default.
- W3025640218 magId "3025640218" @default.
- W3025640218 workType "article" @default.