Interpolating minimal energy C1‐Surfaces on <scp>P</scp>owell–<scp>S</scp>abin Triangulations: Application to the resolution of elliptic problems
DOI10.1002/num.21918zbMath1317.65061OpenAlexW2139202770MaRDI QIDQ5252273
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Publication date: 29 May 2015
Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/num.21918
convergencenumerical exampleelliptic problemPowell-Sabin finite elementfourth-order boundary-value problemPowell-Sabin triangulationinterpolation surface\(C^1\)-spline surface
Boundary value problems for higher-order elliptic equations (35J40) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical interpolation (65D05) Computer-aided design (modeling of curves and surfaces) (65D17)
Related Items (2)
Cites Work
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- Minimal energy surfaces using parametric splines
- \(C^ r\)-finite elements of Powell-Sabin type on the three direction mesh
- Numerical solution of partial differential equations with Powell-Sabin splines
- Approximation by interpolating variational splines
- Smoothing noisy data with spline functions: Estimating the correct degree of smoothing by the method of generalized cross-validation
- Scattered data interpolation using minimum energy Powell-Sabin elements and data dependent triangulations
- Minimal energy \(C^r\)-surfaces on uniform Powell-Sabin type meshes. Estimation of the smoothing parameters
- Minimal energy surfaces on Powell-Sabin type triangulations
- Error Bounds for Hermite Interpolation by Quadratic Splines on an -Triangulation
- Optimal Smoothing of Noisy Data Using Spline Functions
- Piecewise Quadratic Approximations on Triangles
- Theoretical Numerical Analysis
- Spline approximation of discontinuous multivariate functions from scattered data
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