Matches in SemOpenAlex for { <https://semopenalex.org/work/W2949297646> ?p ?o ?g. }
Showing items 1 to 77 of
77
with 100 items per page.
- W2949297646 abstract "For the space of $C^3$ quintics on the Powell-Sabin 12-split of a triangle, we determine explicitly the six symmetric simplex spline bases that reduce to a B-spline basis on each edge, have a positive partition of unity, a Marsden identity that splits into real linear factors, and an intuitive domain mesh. The bases are stable in the $L_infty$ norm with a condition number independent of the geometry, have a well-conditioned Lagrange interpolant at the domain points, and a quasi-interpolant with local approximation order 6. We show an $h^2$ bound for the distance between the control points and the values of a spline at the corresponding domain points. For one of these bases we derive $C^0$, $C^1$, $C^2$ and $C^3$ conditions on the control points of two splines on adjacent macrotriangles." @default.
- W2949297646 created "2019-06-27" @default.
- W2949297646 creator A5022028945 @default.
- W2949297646 creator A5033893298 @default.
- W2949297646 date "2015-04-10" @default.
- W2949297646 modified "2023-09-27" @default.
- W2949297646 title "Stable simplex spline bases for $C^3$ quintics on the Powell-Sabin 12-split" @default.
- W2949297646 cites W1512389895 @default.
- W2949297646 cites W1570866526 @default.
- W2949297646 cites W1982535784 @default.
- W2949297646 cites W2021643006 @default.
- W2949297646 cites W2023083004 @default.
- W2949297646 cites W2023097791 @default.
- W2949297646 cites W2039317544 @default.
- W2949297646 cites W2069851814 @default.
- W2949297646 cites W2089167308 @default.
- W2949297646 cites W642107583 @default.
- W2949297646 hasPublicationYear "2015" @default.
- W2949297646 type Work @default.
- W2949297646 sameAs 2949297646 @default.
- W2949297646 citedByCount "0" @default.
- W2949297646 crossrefType "posted-content" @default.
- W2949297646 hasAuthorship W2949297646A5022028945 @default.
- W2949297646 hasAuthorship W2949297646A5033893298 @default.
- W2949297646 hasConcept C102205669 @default.
- W2949297646 hasConcept C10390562 @default.
- W2949297646 hasConcept C114614502 @default.
- W2949297646 hasConcept C121332964 @default.
- W2949297646 hasConcept C134306372 @default.
- W2949297646 hasConcept C135628077 @default.
- W2949297646 hasConcept C202444582 @default.
- W2949297646 hasConcept C2524010 @default.
- W2949297646 hasConcept C33923547 @default.
- W2949297646 hasConcept C36503486 @default.
- W2949297646 hasConcept C42812 @default.
- W2949297646 hasConcept C62438384 @default.
- W2949297646 hasConcept C97355855 @default.
- W2949297646 hasConceptScore W2949297646C102205669 @default.
- W2949297646 hasConceptScore W2949297646C10390562 @default.
- W2949297646 hasConceptScore W2949297646C114614502 @default.
- W2949297646 hasConceptScore W2949297646C121332964 @default.
- W2949297646 hasConceptScore W2949297646C134306372 @default.
- W2949297646 hasConceptScore W2949297646C135628077 @default.
- W2949297646 hasConceptScore W2949297646C202444582 @default.
- W2949297646 hasConceptScore W2949297646C2524010 @default.
- W2949297646 hasConceptScore W2949297646C33923547 @default.
- W2949297646 hasConceptScore W2949297646C36503486 @default.
- W2949297646 hasConceptScore W2949297646C42812 @default.
- W2949297646 hasConceptScore W2949297646C62438384 @default.
- W2949297646 hasConceptScore W2949297646C97355855 @default.
- W2949297646 hasLocation W29492976461 @default.
- W2949297646 hasOpenAccess W2949297646 @default.
- W2949297646 hasPrimaryLocation W29492976461 @default.
- W2949297646 hasRelatedWork W1015525500 @default.
- W2949297646 hasRelatedWork W1518129616 @default.
- W2949297646 hasRelatedWork W1551972140 @default.
- W2949297646 hasRelatedWork W1777629541 @default.
- W2949297646 hasRelatedWork W1988191401 @default.
- W2949297646 hasRelatedWork W2003299389 @default.
- W2949297646 hasRelatedWork W2021612158 @default.
- W2949297646 hasRelatedWork W2061962775 @default.
- W2949297646 hasRelatedWork W2069851814 @default.
- W2949297646 hasRelatedWork W2081235129 @default.
- W2949297646 hasRelatedWork W2107890986 @default.
- W2949297646 hasRelatedWork W2139202770 @default.
- W2949297646 hasRelatedWork W2527443258 @default.
- W2949297646 hasRelatedWork W2529911043 @default.
- W2949297646 hasRelatedWork W2619474801 @default.
- W2949297646 hasRelatedWork W2805836224 @default.
- W2949297646 hasRelatedWork W2886172065 @default.
- W2949297646 hasRelatedWork W3194536436 @default.
- W2949297646 hasRelatedWork W3205002084 @default.
- W2949297646 hasRelatedWork W2098728087 @default.
- W2949297646 isParatext "false" @default.
- W2949297646 isRetracted "false" @default.
- W2949297646 magId "2949297646" @default.
- W2949297646 workType "article" @default.