On the existence of interpolating projections onto spline spaces
From MaRDI portal
Publication:2266402
DOI10.1016/0021-9045(85)90123-6zbMath0561.41029OpenAlexW2063937455MaRDI QIDQ2266402
Publication date: 1985
Published in: Journal of Approximation Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0021-9045(85)90123-6
Best approximation, Chebyshev systems (41A50) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Spline approximation (41A15)
Related Items
Isogeometric collocation for elastostatics and explicit dynamics ⋮ A preconditioning strategy for linear systems arising from nonsymmetric schemes in isogeometric analysis ⋮ Overlapping Schwarz preconditioners for isogeometric collocation methods ⋮ Weighted isogeometric collocation based on spline projectors ⋮ Divergence-conforming isogeometric collocation methods for the incompressible Navier-Stokes equations ⋮ On the existence of locally-defined projective interpolations ⋮ Immersed isogeometric analysis based on a hybrid collocation/finite cell method ⋮ Conditioning and spectral properties of isogeometric collocation matrices for acoustic wave problems ⋮ Stabilized isogeometric collocation methods for scalar transport and incompressible fluid flow ⋮ On the condition of cubic B-splines ⋮ A point to segment contact formulation for isogeometric, NURBS based finite elements ⋮ Locking-free isogeometric collocation methods for spatial Timoshenko rods ⋮ Isogeometric collocation: cost comparison with Galerkin methods and extension to adaptive hierarchical NURBS discretizations ⋮ Isogeometric collocation discretizations for acoustic wave problems ⋮ Avoiding shear locking for the Timoshenko beam problem via isogeometric collocation methods ⋮ Explicit higher-order accurate isogeometric collocation methods for structural dynamics ⋮ NURBS-SEM: a hybrid spectral element method on NURBS maps for the solution of elliptic PDEs on surfaces ⋮ The INTERNODES method for the treatment of non-conforming multipatch geometries in isogeometric analysis ⋮ Isogeometric boundary element analysis of liquid nonlinear sloshing in two dimensional rectangular tanks ⋮ Optimal multilevel preconditioners for isogeometric collocation methods ⋮ Isogeometric collocation methods with generalized B-splines ⋮ Overlapping additive Schwarz preconditioners for isogeometric collocation discretizations of linear elasticity ⋮ ISOGEOMETRIC COLLOCATION METHODS ⋮ Isogeometric collocation method with intuitive derivative constraints for PDE-based analysis-suitable parameterizations ⋮ The exact condition of the B-spline basis may be hard to determine ⋮ A weighted point-based formulation for isogeometric contact ⋮ Stable isogeometric analysis of trimmed geometries ⋮ A flexible approach for coupling NURBS patches in rotationless isogeometric analysis of Kirchhoff-Love shells ⋮ Reduced integration at superconvergent points in isogeometric analysis ⋮ Improved conditioning of isogeometric analysis matrices for trimmed geometries ⋮ Isogeometric collocation mixed methods for rods
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On bounding spline interpolation
- A practical guide to splines
- Structure of invertible (bi)infinite totally positive matrices
- On the convergence of odd-degree spline interpolation
- Equioscillation under nonuniqueness in the approximation of continuous functions
- On Sine Series with Monotone Coefficients
- Inverses of Band Matrices and Local Convergence of Spline Projections
- Quadratic spline interpolation