The invertibility of the isoparametric mappings for triangular quadratic Lagrange finite elements.

DOI10.1007/S10492-012-0026-7zbMath1265.65233OpenAlexW2043854673MaRDI QIDQ1928174

Josef Dalík

Publication date: 2 January 2013

Published in: Applications of Mathematics (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10338.dmlcz/142910

zbMATH Keywords

initial or boundary value problemsinvertible isoparametric mappingisoparametric triangular quadratic Lagrange finite element

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)

Cites Work

• The reference coordinates and disortion measures for quadrilateral hybrid stress membrane element
• Locally one-to-one mappings and a classical theorem on schlicht functions
• The invertibility of the isoparametric mapping for pyramidal and prismatic finite elements
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