Optimal-order approximation by mixed three-directional spline elements

DOI10.1016/S0898-1221(00)00146-2zbMath0968.41007MaRDI QIDQ1570070

Don Hong, Ram N. Mohapatra

Publication date: 16 September 2001

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

zbMATH Keywords

triangulationClough-Tocher refinement

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Spline approximation (41A15)

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Cites Work

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• On the optimal approximation rates for criss-cross finite element spaces
• Some new formulations of smoothness conditions and conformality conditions for bivariate splines
• A sharp upper bound on the approximation order of smooth bivariate pp functions
• Approximation power of smooth bivariate pp functions
• Approximation Order from Bivariate C 1 -Cubics: A Counterexample
• Cardinal Interpolation by Multivariate Splines
• An Explicit Basis for $C^1 $ Quartic Bivariate Splines
• Stability of Optimal-Order Approximation by Bivariate Splines over Arbitrary Triangulations
• Construction of local 𝐶¹ quartic spline elements for optimal-order approximation