Generalization of the Zlamal condition for simplicial finite elements in \(\mathbb {R}^{d}\)

DOI10.1007/s10492-011-0024-1zbMath1240.65327OpenAlexW2026732627MaRDI QIDQ642217

Sergey Korotov, Michal Křížek, Jan H. Brandts

Publication date: 25 October 2011

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

Full work available at URL: https://eudml.org/doc/116548

zbMATH Keywords

convergencetriangulationsmesh regularitylinear finite elementminimum angle conditionhigher-dimensional problem

Mathematics Subject Classification ID

Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)

Related Items (9)

Properties of the multidimensional finite elements ⋮ The minimum angle condition for \(d\)-simplices ⋮ On Equivalence of Maximum Angle Conditions for Tetrahedral Finite Element Meshes ⋮ On angle conditions in the finite element method ⋮ The maximum angle condition is not necessary for convergence of the finite element method ⋮ On Mesh Regularity Conditions for Simplicial Finite Elements ⋮ On the generalization of the Synge-Křížek maximum angle condition for \(d\)-simplices ⋮ Finite element method with local damage of the mesh ⋮ Longest-edge \(n\)-section algorithms: properties and open problems

Cites Work

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• On the equivalence of regularity criteria for triangular and tetrahedral finite element partitions
• On the equivalence of ball conditions for simplicial finite elements in \(\mathbf R^d\)
• The law of sines for tetrahedra and \(n\)-simplices
• On global and local mesh refinements by a generalized conforming bisection algorithm
• On the finite element method
• Gradient superconvergence on uniform simplicial partitions of polytopes

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