Name
Abstract | ||
|---|---|---|
We establish several fundamental properties of analysis-suitable T-splines which are important for design and analysis. First, we characterize T-spline spaces and prove that the space of smooth bicubic polynomials, defined over the extended T-mesh of an analysis-suitable T-spline, is contained in the corresponding analysis-suitable T-spline space. This is accomplished through the theory of perturbed analysis-suitable T-spline spaces and a simple topological dimension formula. Second, we establish the theory of analysis-suitable local refinement and describe the conditions under which two analysis-suitable T-spline spaces are nested. Last, we demonstrate that these results can be used to establish basic approximation results which are critical for analysis. |
Year | DOI | Venue |
|---|---|---|
2012 | 10.1142/S0218202513500796 | MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES |
Keywords | DocType | Volume |
T-splines,isogeometric analysis,local refinement,analysis-suitable,approximation | Journal | 24 |
Issue | ISSN | Citations |
6 | 0218-2025 | 16 |
PageRank | References | Authors |
0.84 | 1 | 2 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Xin Li | 1 | 495 | 68.25 |
| michael a scott | 2 | 61 | 4.69 |