A piecewise parabolic \(C^1\) approximation technique for curved boundaries

DOI10.1016/0898-1221(79)90088-9zbMath0441.65013OpenAlexW1987914912MaRDI QIDQ1143125

Robin J. Y. McLeod, A. R. Mitchell

Publication date: 1979

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

Full work available at URL: https://doi.org/10.1016/0898-1221(79)90088-9

zbMATH Keywords

finite element methodsHermite interpolationapproximation to curved boundariesgraphical studiespiecewise parabolic approximation technique

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical interpolation (65D05) Multidimensional problems (41A63) Spline approximation (41A15) Jets and cavities, cavitation, free-streamline theory, water-entry problems, airfoil and hydrofoil theory, sloshing (76B10)

Related Items (1)

Integration techniques for isoparametric and higher order bases on finite elements with a curved side

Cites Work

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• Constrained approximation and Hermite interpolation with smooth quadratic splines: Some negative results
• The Use of Parabolic Arcs in Matching Curved Boundaries in the Finite Element Method
• High Order Transformation Methods for Curved Finite Elements

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