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

DOI10.1016/0898-1221(79)90089-0zbMath0441.65014OpenAlexW2003655227WikidataQ127412850 ScholiaQ127412850MaRDI QIDQ1143126

Robin J. Y. McLeod, Carl M. Andersen

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)90089-0

zbMATH Keywords

finite elementshigh order transformation basesintegration techniquesisoparametric bases

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical interpolation (65D05) Multidimensional problems (41A63) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32)

Related Items (2)

\(C^ 1\) rational finite elements ⋮ A Class of Novel Tetrahedron Elements with Curved Surfaces for Three-Dimensional Solid Mechanics Problems with Curved Boundaries

Uses Software

• MACSYMA

Cites Work

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• A numerical comparison of high order transformation and isoparametric transformation methods
• Extensions and generalisations of rational and high order transformation methods
• A piecewise parabolic \(C^1\) approximation technique for curved boundaries
• Mixed isoparametric elements for Saint-Venant torsion
• Mixed isoparametric finite element models of laminated composite shells
• Hermite interpolation over curved finite elements
• Curved, isoparametric, 'quadrilateral' elements for finite element analysis
• Moderate Degree Symmetric Quadrature Rules for the Triangle
• The Use of Parabolic Arcs in Matching Curved Boundaries in the Finite Element Method
• High Order Transformation Methods for Curved Finite Elements
• The Construction of Basis Functions for Curved Elements in the Finite Element Method
• A Rational Basis for Function Approximation

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