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On Mesh Regularity Conditions for Simplicial Finite Elements - MaRDI portal

On Mesh Regularity Conditions for Simplicial Finite Elements (Q5152859)

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scientific article; zbMATH DE number 7400930

Language	Label	Description	Also known as
English	On Mesh Regularity Conditions for Simplicial Finite Elements	scientific article; zbMATH DE number 7400930

Statements

scholarly article

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On Mesh Regularity Conditions for Simplicial Finite Elements (English)

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Jon Eivind Vatne

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Lecture Notes in Computational Science and Engineering

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publication date

27 September 2021

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1007/978-3-030-55874-1_62

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On the finite element method

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Dependence of estimates of a multidimensional piecewise polynomial approximation on the geometric characteristics of the triangulation

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Average Interpolation under the Maximum Angle Condition

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Divergence of FEM: Babuška-Aziz triangulations revisited.

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Error estimates of triangular finite elements under a weak angle condition

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Relationship between tetrahedron shape measures

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Several notes on the circumradius condition.

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On the Maximum Angle Condition for Linear Tetrahedral Elements

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

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The minimum angle condition for \(d\)-simplices

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On the circumradius condition for piecewise linear triangular elements

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On the generalization of the Synge-Křížek maximum angle condition for \(d\)-simplices

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On interpolation error on degenerating prismatic elements.

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On Synge-type angle condition for \(d\)-simplices.

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The law of sines for tetrahedra and \(n\)-simplices

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Gradient superconvergence on uniform simplicial partitions of polytopes

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

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On the equivalence of ball conditions for simplicial finite elements in \(\mathbf R^d\)

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On the equivalence of regularity criteria for triangular and tetrahedral finite element partitions

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On Jamet’s Estimates for the Finite Element Method with Interpolation at Uniform Nodes of a Simplex

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Sard kernel theorems on triangular domains with application to finite element error bounds

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On the Angle Condition in the Finite Element Method

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The Maximum Angle Condition for Mixed and Nonconforming Elements: Application to the Stokes Equations

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Error estimates for Raviart-Thomas interpolation of any order on anisotropic tetrahedra

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The maximum angle condition is not necessary for convergence of the finite element method

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Identifiers

zbMATH Open document ID

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10.1007/978-3-030-55874-1_62

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:5152859

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