On Regularity of Tetrahedral Meshes Produced by Some Red-Type Refinements

DOI10.1007/978-3-030-56323-3_49zbMath1453.65300OpenAlexW3094121349MaRDI QIDQ5132183

Jon Eivind Vatne, Sergey Korotov

Publication date: 9 November 2020

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-56323-3_49

zbMATH Keywords

tetrahedral meshesred-type refinement techniqueregularity of meshes

Mathematics Subject Classification ID

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)

Related Items (3)

Degeneracy of tetrahedral partitions produced by randomly generated red refinements ⋮ On Mesh Regularity Conditions for Simplicial Finite Elements ⋮ Preserved Structure Constants for Red Refinements of Product Elements

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• The maximum angle condition is not necessary for convergence of the finite element method
• Longest-edge \(n\)-section algorithms: properties and open problems
• The law of sines for tetrahedra and \(n\)-simplices
• Simplicial grid refinement: On Freudenthal's algorithm and the optimal number of congruence classes
• On the generalization of the Synge-Křížek maximum angle condition for \(d\)-simplices
• Red refinements of simplices into congruent subsimplices
• On Synge-type angle condition for \(d\)-simplices.
• An equilibrium finite element method in three-dimensional elasticity
• On the Maximum Angle Condition for Linear Tetrahedral Elements
• Uniform Refinement of a Tetrahedron
• Red–green refinement of simplicial meshes in $d$ dimensions

This page was built for publication: On Regularity of Tetrahedral Meshes Produced by Some Red-Type Refinements