Matches in SemOpenAlex for { <https://semopenalex.org/work/W3113010604> ?p ?o ?g. }
- W3113010604 endingPage "449" @default.
- W3113010604 startingPage "366" @default.
- W3113010604 abstract "Abstract Inspired by the numerical immersed boundary method, we introduce regularized Stokes immersed boundary problems in two dimensions to describe regularized motion of a 1‐D closed elastic string in a 2‐D Stokes flow, in which a regularized δ ‐function is used to mollify the flow field and singular forcing. We establish global well‐posedness of the regularized problems and prove that as the regularization parameter diminishes, string dynamics in the regularized problems converge to that in the Stokes immersed boundary problem with no regularization. Viewing the unregularized problem as a benchmark, we derive error estimates under various norms for the string dynamics. Our rigorous analysis shows that the regularized problems achieve improved accuracy if the regularized δ ‐function is suitably chosen. This may imply potential improvement in the numerical method, which is worth further investigation. © 2020 Wiley Periodicals LLC" @default.
- W3113010604 created "2020-12-21" @default.
- W3113010604 creator A5009580574 @default.
- W3113010604 date "2020-12-14" @default.
- W3113010604 modified "2023-10-01" @default.
- W3113010604 title "Regularized Stokes Immersed Boundary Problems in Two Dimensions: <scp>Well‐Posedness</scp>, Singular Limit, and Error Estimates" @default.
- W3113010604 cites W1781658615 @default.
- W3113010604 cites W1965645969 @default.
- W3113010604 cites W1967427895 @default.
- W3113010604 cites W1973017510 @default.
- W3113010604 cites W1975182211 @default.
- W3113010604 cites W1982558826 @default.
- W3113010604 cites W1984426476 @default.
- W3113010604 cites W1988944051 @default.
- W3113010604 cites W1992587246 @default.
- W3113010604 cites W1992984324 @default.
- W3113010604 cites W1996954920 @default.
- W3113010604 cites W1997172832 @default.
- W3113010604 cites W1997538932 @default.
- W3113010604 cites W2027348461 @default.
- W3113010604 cites W2034889108 @default.
- W3113010604 cites W2038889892 @default.
- W3113010604 cites W2045343226 @default.
- W3113010604 cites W2045657825 @default.
- W3113010604 cites W2060291257 @default.
- W3113010604 cites W2068620214 @default.
- W3113010604 cites W2070851978 @default.
- W3113010604 cites W2072051564 @default.
- W3113010604 cites W2084131634 @default.
- W3113010604 cites W2095035360 @default.
- W3113010604 cites W2104242257 @default.
- W3113010604 cites W2110329595 @default.
- W3113010604 cites W2143063846 @default.
- W3113010604 cites W2145144883 @default.
- W3113010604 cites W2145851836 @default.
- W3113010604 cites W2164965612 @default.
- W3113010604 cites W2165019514 @default.
- W3113010604 cites W2259929925 @default.
- W3113010604 cites W2556291925 @default.
- W3113010604 cites W2611754255 @default.
- W3113010604 cites W2874136429 @default.
- W3113010604 cites W2963226225 @default.
- W3113010604 cites W3102415465 @default.
- W3113010604 doi "https://doi.org/10.1002/cpa.21968" @default.
- W3113010604 hasPublicationYear "2020" @default.
- W3113010604 type Work @default.
- W3113010604 sameAs 3113010604 @default.
- W3113010604 citedByCount "4" @default.
- W3113010604 countsByYear W31130106042021 @default.
- W3113010604 countsByYear W31130106042023 @default.
- W3113010604 crossrefType "journal-article" @default.
- W3113010604 hasAuthorship W3113010604A5009580574 @default.
- W3113010604 hasBestOaLocation W31130106042 @default.
- W3113010604 hasConcept C121332964 @default.
- W3113010604 hasConcept C121704545 @default.
- W3113010604 hasConcept C134306372 @default.
- W3113010604 hasConcept C151201525 @default.
- W3113010604 hasConcept C154945302 @default.
- W3113010604 hasConcept C157486923 @default.
- W3113010604 hasConcept C182310444 @default.
- W3113010604 hasConcept C19191322 @default.
- W3113010604 hasConcept C2524010 @default.
- W3113010604 hasConcept C2776135515 @default.
- W3113010604 hasConcept C2781278361 @default.
- W3113010604 hasConcept C28826006 @default.
- W3113010604 hasConcept C33923547 @default.
- W3113010604 hasConcept C37914503 @default.
- W3113010604 hasConcept C38349280 @default.
- W3113010604 hasConcept C41008148 @default.
- W3113010604 hasConcept C57879066 @default.
- W3113010604 hasConcept C62354387 @default.
- W3113010604 hasConcept C84655787 @default.
- W3113010604 hasConceptScore W3113010604C121332964 @default.
- W3113010604 hasConceptScore W3113010604C121704545 @default.
- W3113010604 hasConceptScore W3113010604C134306372 @default.
- W3113010604 hasConceptScore W3113010604C151201525 @default.
- W3113010604 hasConceptScore W3113010604C154945302 @default.
- W3113010604 hasConceptScore W3113010604C157486923 @default.
- W3113010604 hasConceptScore W3113010604C182310444 @default.
- W3113010604 hasConceptScore W3113010604C19191322 @default.
- W3113010604 hasConceptScore W3113010604C2524010 @default.
- W3113010604 hasConceptScore W3113010604C2776135515 @default.
- W3113010604 hasConceptScore W3113010604C2781278361 @default.
- W3113010604 hasConceptScore W3113010604C28826006 @default.
- W3113010604 hasConceptScore W3113010604C33923547 @default.
- W3113010604 hasConceptScore W3113010604C37914503 @default.
- W3113010604 hasConceptScore W3113010604C38349280 @default.
- W3113010604 hasConceptScore W3113010604C41008148 @default.
- W3113010604 hasConceptScore W3113010604C57879066 @default.
- W3113010604 hasConceptScore W3113010604C62354387 @default.
- W3113010604 hasConceptScore W3113010604C84655787 @default.
- W3113010604 hasIssue "2" @default.
- W3113010604 hasLocation W31130106041 @default.
- W3113010604 hasLocation W31130106042 @default.
- W3113010604 hasOpenAccess W3113010604 @default.
- W3113010604 hasPrimaryLocation W31130106041 @default.
- W3113010604 hasRelatedWork W1532500039 @default.
- W3113010604 hasRelatedWork W1556508989 @default.