Estimation of the interpolation error for semiregular prismatic elements

DOI10.1016/j.apnum.2020.04.018zbMath1442.65377OpenAlexW3021662232MaRDI QIDQ2189687

Jon Eivind Vatne, Ali Khademi

Publication date: 16 June 2020

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2020.04.018

zbMATH Keywords

maximum angle conditioninterpolation errorsemiregular prismatic element

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical interpolation (65D05) Interpolation in approximation theory (41A05) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)

Cites Work

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• The law of sines for tetrahedra and \(n\)-simplices
• On interpolation error on degenerating prismatic elements.
• On the generalization of the Synge-Křížek maximum angle condition for \(d\)-simplices
• On the finite element method
• Automated Generation and Symbolic Manipulation of Tensor Product Finite Elements
• On the Maximum Angle Condition for Linear Tetrahedral Elements
• On the Angle Condition in the Finite Element Method
• Galerkin Finite Element Approximations of Stochastic Elliptic Partial Differential Equations
• On Equivalence of Maximum Angle Conditions for Tetrahedral Finite Element Meshes
• Galerkin Finite Element Methods for Stochastic Parabolic Partial Differential Equations

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