Interpolation operators on a triangle with one curved side

DOI10.1007/s10543-010-0256-6zbMath1200.41002OpenAlexW2035712298MaRDI QIDQ981668

Teodora Cătinaş, Gheorghe Coman

Publication date: 2 July 2010

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10543-010-0256-6

zbMATH Keywords

triangleinterpolation operatorsremainderscurved side

Mathematics Subject Classification ID

Interpolation in approximation theory (41A05) Rate of convergence, degree of approximation (41A25) Remainders in approximation formulas (41A80)

Related Items (8)

Surfaces generation by blending interpolation on a triangle with one curved side ⋮ A unified enrichment approach of the standard three-node triangular element ⋮ Bernstein-type operators on a triangle with all curved sides ⋮ Iterates of Bernstein type operators on a triangle with all curved sides ⋮ Extension of some particular interpolation operators to a triangle with one curved side ⋮ Bernstein-type operators on a triangle with one curved side ⋮ Nielson interpolation operators on an arbitrary triangle with one curved side ⋮ Extension of Some Generalized Hermite-Type Interpolation Operators to the Triangle with One Curved Side

Cites Work

• Smooth interpolation in triangles
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• Ritz-Galerkin approximations in blending function spaces
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• The side-vertex method for interpolation in triangles
• Error bounds for smooth interpolation in triangles
• Transfinite element methods: Blending-function interpolation over arbitrary curved element domains
• Interpolation to boundary data in triangles
• An Exact Boundary Technique for Improved Accuracy in the Finite Element Method
• Optimal Finite-Element Interpolation on Curved Domains
• Minimum Norm Interpolation in Triangles
• Pseudo-Harmonic Interpolation on Convex Domains
• Polynomial Interpolation to Boundary Data on Triangles
• Blending interpolants in the finite element method
• Interpolation in triangles
• Curved Elements in the Finite Element Method. I
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