FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W764552864> ?p ?o ?g. }

• W764552864 endingPage "172" @default.
• W764552864 startingPage "159" @default.
• W764552864 abstract "A spline space suitable for Isogeometric Analysis (IgA) on multi-patch domains is presented. Our construction is motivated by emerging requirements in isogeometric simulations. In particular, IgA spaces should allow for adaptive mesh refinement and they should guarantee the optimal smoothness of the discretized solution, even across interfaces of adjacent patches. Given a domain manifold M consisting of individual patches (isomorphic to the unit square or cube) that are glued together along interfaces, we present a construction of multi-patch B-splines defined on them. Their smoothness is enhanced by locally modifying or merging basis functions around the boundary of each patch. The resulting multi-patch B-splines with enhanced smoothness (MPBES) possess the property of local linear independence and form a non-negative partition of unity. Moreover, their span can be characterized as the linear space of all piecewise polynomial functions on the domain manifold that possess certain smoothness properties. Subsequently, adaptively refined MPBES are obtained by generalizing the construction of truncated hierarchical (TH) B-splines. More precisely, a nested sequence of spaces spanned by MPBES is considered, corresponding to steps of local enrichment. In addition, an inversely nested sequence of subdomains (which are submanifolds of M) is used to specify the local refinement level of functions in these spaces. Finally, truncated hierarchical MPBES are obtained by means of the selection and truncation mechanism of THB-splines. The desired properties of linear independence and convex partition of unity are maintained. The paper presents several numerical examples which demonstrate potential applications of the new basis in isogeometric analysis." @default.
• W764552864 created "2016-06-24" @default.
• W764552864 creator A5003244178 @default.
• W764552864 creator A5045854462 @default.
• W764552864 creator A5078731808 @default.
• W764552864 date "2016-01-01" @default.
• W764552864 modified "2023-10-18" @default.
• W764552864 title "Adaptively refined multi-patch B-splines with enhanced smoothness" @default.
• W764552864 cites W1502834825 @default.
• W764552864 cites W1973737329 @default.
• W764552864 cites W1980220299 @default.
• W764552864 cites W1981804980 @default.
• W764552864 cites W1988475988 @default.
• W764552864 cites W1998777442 @default.
• W764552864 cites W2003515735 @default.
• W764552864 cites W2028253371 @default.
• W764552864 cites W2041141678 @default.
• W764552864 cites W2068085190 @default.
• W764552864 cites W2077169088 @default.
• W764552864 cites W2078121534 @default.
• W764552864 cites W2081893716 @default.
• W764552864 cites W2084270359 @default.
• W764552864 cites W2090779038 @default.
• W764552864 cites W2099204604 @default.
• W764552864 cites W2106678274 @default.
• W764552864 cites W2117127065 @default.
• W764552864 cites W2122275436 @default.
• W764552864 cites W2129372062 @default.
• W764552864 cites W2167880154 @default.
• W764552864 cites W4249019869 @default.
• W764552864 doi "https://doi.org/10.1016/j.amc.2015.06.055" @default.
• W764552864 hasPublicationYear "2016" @default.
• W764552864 type Work @default.
• W764552864 sameAs 764552864 @default.
• W764552864 citedByCount "18" @default.
• W764552864 countsByYear W7645528642016 @default.
• W764552864 countsByYear W7645528642017 @default.
• W764552864 countsByYear W7645528642018 @default.
• W764552864 countsByYear W7645528642019 @default.
• W764552864 countsByYear W7645528642020 @default.
• W764552864 countsByYear W7645528642021 @default.
• W764552864 countsByYear W7645528642022 @default.
• W764552864 crossrefType "journal-article" @default.
• W764552864 hasAuthorship W764552864A5003244178 @default.
• W764552864 hasAuthorship W764552864A5045854462 @default.
• W764552864 hasAuthorship W764552864A5078731808 @default.
• W764552864 hasBestOaLocation W7645528642 @default.
• W764552864 hasConcept C102205669 @default.
• W764552864 hasConcept C102634674 @default.
• W764552864 hasConcept C114614502 @default.
• W764552864 hasConcept C121332964 @default.
• W764552864 hasConcept C134306372 @default.
• W764552864 hasConcept C135628077 @default.
• W764552864 hasConcept C164660894 @default.
• W764552864 hasConcept C184720557 @default.
• W764552864 hasConcept C2780737243 @default.
• W764552864 hasConcept C28826006 @default.
• W764552864 hasConcept C33923547 @default.
• W764552864 hasConcept C42812 @default.
• W764552864 hasConcept C5917680 @default.
• W764552864 hasConcept C62354387 @default.
• W764552864 hasConcept C73000952 @default.
• W764552864 hasConcept C97355855 @default.
• W764552864 hasConceptScore W764552864C102205669 @default.
• W764552864 hasConceptScore W764552864C102634674 @default.
• W764552864 hasConceptScore W764552864C114614502 @default.
• W764552864 hasConceptScore W764552864C121332964 @default.
• W764552864 hasConceptScore W764552864C134306372 @default.
• W764552864 hasConceptScore W764552864C135628077 @default.
• W764552864 hasConceptScore W764552864C164660894 @default.
• W764552864 hasConceptScore W764552864C184720557 @default.
• W764552864 hasConceptScore W764552864C2780737243 @default.
• W764552864 hasConceptScore W764552864C28826006 @default.
• W764552864 hasConceptScore W764552864C33923547 @default.
• W764552864 hasConceptScore W764552864C42812 @default.
• W764552864 hasConceptScore W764552864C5917680 @default.
• W764552864 hasConceptScore W764552864C62354387 @default.
• W764552864 hasConceptScore W764552864C73000952 @default.
• W764552864 hasConceptScore W764552864C97355855 @default.
• W764552864 hasFunder F4320321181 @default.
• W764552864 hasLocation W7645528641 @default.
• W764552864 hasLocation W7645528642 @default.
• W764552864 hasOpenAccess W764552864 @default.
• W764552864 hasPrimaryLocation W7645528641 @default.
• W764552864 hasRelatedWork W1881120241 @default.
• W764552864 hasRelatedWork W1973790711 @default.
• W764552864 hasRelatedWork W2444572922 @default.
• W764552864 hasRelatedWork W2981315515 @default.
• W764552864 hasRelatedWork W3011549673 @default.
• W764552864 hasRelatedWork W3015556196 @default.
• W764552864 hasRelatedWork W3131024177 @default.
• W764552864 hasRelatedWork W3135389913 @default.
• W764552864 hasRelatedWork W4293585708 @default.
• W764552864 hasRelatedWork W4302598424 @default.
• W764552864 hasVolume "272" @default.
• W764552864 isParatext "false" @default.
• W764552864 isRetracted "false" @default.
• W764552864 magId "764552864" @default.

• next