Variational bivariate interpolating splines with positivity constraints

DOI10.1016/S0168-9274(02)00174-5zbMath1022.65011OpenAlexW2162453671MaRDI QIDQ1861958

Miguel Pasadas, Abdelouahed Kouibia

Publication date: 10 March 2003

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0168-9274(02)00174-5

zbMATH Keywords

algorithmconvergencefinite element methodsnumerical and graphical examplesvariational splinesapproximation of surfacesshape perserving interpolation

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 (7)

Smooth bivariate shape-preserving cubic spline approximation ⋮ Nonnegative data interpolation by spherical splines ⋮ Approximation of surfaces by modified Helmholtz splines ⋮ Approximation by smoothing variational vector splines for noisy data ⋮ Bivariate variational splines with monotonicity constraints ⋮ A \(C^{1}\)-rational spline in range restricted interpolation of scattered data ⋮ Shape-preserving positive trigonometric spline curves

Cites Work

• \(S\)-convex, monotone, and positive interpolation with rational bicubic spline of \(C^ 2\)-continuity
• Positive quartic, monotone quintic \(C^ 2\)-spline interpolation in one and two dimensions
• Smoothing variational splines
• Approximation in the finite element method
• Sur l’erreur d’interpolation des fonctions de plusieurs variables par les $D^m$-splines
• Approximation spline de surfaces de type explicite comportant des failles
• An Analysis of Two Algorithms for Shape-Preserving Cubic Spline Interpolation
• Approximation by shape preserving interpolation splines
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Variational bivariate interpolating splines with positivity constraints