Determining invertible two and three dimensional quadratic isoparametric finite element transformations

DOI10.1016/0378-4754(83)90116-7zbMath0521.65008OpenAlexW2090884698MaRDI QIDQ1055155

David A. Field

Publication date: 1983

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0378-4754(83)90116-7

zbMATH Keywords

invertibility10-node tetrahedra8-node bricksplanar, triangular quadratic isoparametric finite element transformation

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) Interpolation in approximation theory (41A05)

Related Items

The legacy of automatic mesh generation from solid modeling ⋮ Distortion, degeneracy and rezoning in finite element -- a survey.

Uses Software

• REDUCE

Cites Work

• Some Results on the Global Inversion of Bilinear and Quadratic Isoparametric Finite Element Transformations
• An Algorithm for Determining Invertible Quadratic Isoparametric Finite Element Transformations
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