Local approximation from spline spaces on box meshes
From MaRDI portal
Publication:2040458
DOI10.1007/s10208-020-09467-8zbMath1469.41001OpenAlexW3041581947MaRDI QIDQ2040458
Publication date: 14 July 2021
Published in: Foundations of Computational Mathematics (Search for Journal in Brave)
Full work available at URL: http://urn.nb.no/URN:NBN:no-86233
approximationglobal error boundslocal error boundsisogeometric analysisquasi-interpolantsspline spacesanisotropic error boundsbox meshesreduced seminorms
Multidimensional problems (41A63) Rate of convergence, degree of approximation (41A25) Spline approximation (41A15)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Analysis-suitable T-splines are dual-compatible
- On linear independence of T-spline blending functions
- Polynomial approximation on domains bounded by diffeomorphic images of graphs
- Anisotropic NURBS approximation in isogeometric analysis
- THB-splines: The truncated basis for hierarchical splines
- Strongly stable bases for adaptively refined multilevel spline spaces
- Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
- Effortless quasi-interpolation in hierarchical spaces
- Local spline approximation methods
- New upper bound for the \(B\)-spline basis condition number II. A proof of de Boor's \(2^k\)-conjecture
- A hierarchical construction of LR meshes in 2D
- Characterization of analysis-suitable T-splines
- Complexity of hierarchical refinement for a class of admissible mesh configurations
- A versatile strategy for the implementation of adaptive splines
- Foundations of spline theory: B-splines, spline approximation, and hierarchical refinement
- Polynomial splines over locally refined box-partitions
- Approximation with diversified B-splines
- TDHB-splines: the truncated decoupled basis of hierarchical tensor-product splines
- Hierarchical spline spaces: quasi-interpolants and local approximation estimates
- Analysis-suitable adaptive T-mesh refinement with linear complexity
- Some properties of LR-splines
- Adaptive isogeometric methods with hierarchical splines: Error estimator and convergence
- ANALYSIS-SUITABLE T-SPLINES OF ARBITRARY DEGREE: DEFINITION, LINEAR INDEPENDENCE AND APPROXIMATION PROPERTIES
- On Quasi-Interpolation Operators in Spline Spaces
- On Polynomial Approximation in Sobolev Spaces
- Polynomial Approximation of Functions in Sobolev Spaces
- Mathematical analysis of variational isogeometric methods
- A note on polynomial approximation in Sobolev spaces
- Exponential convergence for hp-version and spectral finite element methods for elliptic problems in polyhedra
- Globally Structured Three-Dimensional Analysis-Suitable T-Splines: Definition, Linear Independence and $m$-graded local refinement
- Exponential Convergence of the hp Version of Isogeometric Analysis in 1D
- A practical guide to splines.
This page was built for publication: Local approximation from spline spaces on box meshes