Polynomial spline spaces of non-uniform bi-degree on T-meshes: combinatorial bounds on the dimension
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Publication:2026122
DOI10.1007/s10444-020-09829-4zbMath1473.13026arXiv1903.05949OpenAlexW3127439944MaRDI QIDQ2026122
Deepesh Toshniwal, Thomas J. R. Hughes, Mourrain, Bernard
Publication date: 18 May 2021
Published in: Advances in Computational Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1903.05949
Numerical computation using splines (65D07) Applications of commutative algebra (e.g., to statistics, control theory, optimization, etc.) (13P25) Geometric aspects of numerical algebraic geometry (14Q65)
Uses Software
Cites Work
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- On linear independence of T-spline blending functions
- Local refinement of analysis-suitable T-splines
- THB-splines: The truncated basis for hierarchical splines
- Isogeometric analysis using LR B-splines
- Isogeometric analysis using T-splines
- Linear independence of the T-spline blending functions associated with some particular T-meshes
- On the instability in the dimension of splines spaces over T-meshes
- Approximation power of polynomial splines on \(T\)-meshes
- Bounds on the dimension of spaces of multivariate piecewise polynomials
- Local cohomology of bivariate splines
- Characterization of analysis-suitable T-splines
- On the dimension of Tchebycheffian spline spaces over planar T-meshes
- Hybrid-degree weighted T-splines and their application in isogeometric analysis
- Tchebycheffian spline spaces over planar T-meshes: dimension bounds and dimension instabilities
- Polynomial splines over locally refined box-partitions
- Polynomial splines of non-uniform degree on triangulations: combinatorial bounds on the dimension
- A dimension series for multivariate splines
- Multi-degree B-splines: algorithmic computation and properties
- Multi-degree smooth polar splines: a framework for geometric modeling and isogeometric analysis
- Some properties of LR-splines
- On the dimension of spline spaces on planar T-meshes
- Isogeometric Analysis
- Piecewise polynomials and the finite element method
- Algorithm 999
- Homology of Smooth Splines: Generic Triangulations and a Conjecture of Strang
