Name
Abstract | ||
|---|---|---|
In this paper, we propose a theoretical study of the approximation properties of NURBS spaces, which are used in Isogeometric Analysis. We obtain error estimates that are explicit in terms of the mesh-size h, the degree p and the global regularity, measured by the parameter k. Our approach covers the approximation with global regularity from C 0 up to C k–1, with 2k − 1 ≤ p. Notice that the interesting case of higher regularity, up to k = p, is still open. However, our results give an indication of the role of the smoothness k in the approximation properties, and offer a first mathematical justification of the potential of Isogeometric Analysis based on globally smooth NURBS. |
Year | DOI | Venue |
|---|---|---|
2011 | 10.1007/s00211-010-0338-z | Numerische Mathematik |
Keywords | Field | DocType |
c k,parameter k,error estimate,nurbs space,smoothness k,approximation property,global regularity,degree p,higher regularity,isogeometric analysis | Mathematical optimization,Mathematical analysis,Isogeometric analysis,Numerical analysis,Smoothness,Mathematics | Journal |
Volume | Issue | ISSN |
118 | 2 | 0945-3245 |
Citations | PageRank | References |
28 | 2.30 | 0 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| L. Beirão da Veiga | 1 | 223 | 21.23 |
| A. Buffa | 2 | 360 | 27.78 |
| J. Rivas | 3 | 59 | 5.95 |
| G. Sangalli | 4 | 115 | 16.54 |