On constrained multivariate splines and their approximations

DOI10.1007/BF01389643zbMath0553.41028MaRDI QIDQ802092

Wing-Hung Wong

Publication date: 1984

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/132893

zbMATH Keywords

examplesmultivariate spline functionsthe one-sided thin plate splinevolume matching

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Multidimensional problems (41A63) Approximation with constraints (41A29) Spline approximation (41A15)

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Best interpolation in seminorm with convex constraints, Curve mesh fairing and $GC^2$ surface interpolation, On the characterization of non-negative volume-matching surface splines, Interpolation and approximation from convex sets, Finite element approximation of the volume-matching problem, Approximate regression models and splines

Cites Work

• Isotonic, convex and related splines
• Approximation by linear combinations of multivariate B-splines
• Error estimates for the finite element solution of variational inequalities. Part I. primal theory
• On the finite element method
• A general method for the construction of interpolating or smoothing spline-functions
• Construction of surface spline interpolants of scattered data over finite domains
• Error Estimates for the Approximation of a Class of Variational Inequalities
• The Solution of a Quadratic Programming Problem Using Systematic Overrelaxation
• On the Minimization of a Quadratic Functional Subject to a Continuous Family of Linear Inequality Constraints
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