Application of box splines to the approximation of Sobolev spaces

DOI10.1016/0021-9045(90)90023-JzbMath0709.41007MaRDI QIDQ921316

Jan Krzysztof Kowalski

Publication date: 1990

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

zbMATH Keywords

Sobolev spacesfinite element approximationdifferential eigenvalue problem

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Spline approximation (41A15) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)

Related Items

Quasi-interpolants associated with \(H\)-splines on a three-direction mesh ⋮ On numerical integration in isogeometric subdivision methods for PDEs on surfaces

Cites Work

• B-splines from parallelepipeds
• External approximation of eigenvalue problems in Banach spaces
• On the local linear independence of translates of a box spline
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