Superapproximation and commutator properties of discrete orthogonal projections for continuous splines

DOI10.1006/jath.2000.3506zbMath0979.65010OpenAlexW2092930894MaRDI QIDQ5929849

Rolf Dieter Grigorieff, Jan H. Brandts, Ian H. Sloan

Publication date: 17 April 2001

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jath.2000.3506

zbMATH Keywords

stabilityconvergencecommutator propertiesdiscrete inner productdiscrete orthogonal projectionspolynomial splinesqualocationsuperapproximation

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Spline approximation (41A15)

Related Items (5)

A fully discrete \(H^1\)-Galerkin method with quadrature for nonlinear advection-diffusion-reaction equations ⋮ Superapproximation for projections on spline spaces ⋮ Qualocation ⋮ Discrete orthogonal projections on multiple knot periodic splines ⋮ The use of discrete orthogonal projections in boundary element methods

Cites Work

• Spline qualocation methods for boundary integral equations
• Qualocation methods for elliptic boundary integral equations
• Commutator properties for periodic splines
• Spline qualocation methods for variable-coefficient elliptic equations on curves
• Boundary element collocation methods using splines with multiple knots
• Ein Lokalisierungsprinzip in der Theorie der Spline-Approximationen und einige Anwendungen
• The Stability in L p and W p 1 of the L 2 -Projection onto Finite Element Function Spaces
• Stability of discrete orthogonal projections for continuous splines

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