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

DOI10.1007/s00211-011-0403-2zbMath1255.65196OpenAlexW2046864225MaRDI QIDQ663264

Michal Křížek, Antti Hannukainen, Sergey Korotov

Publication date: 14 February 2012

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/20.500.11824/622

zbMATH Keywords

numerical examplesfinite elementPoisson equationelliptic problemsmaximum angle conditionoptimal convergence rate

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) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)

Related Items (19)

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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 \(\mathbf R^d\)
• Anisotropic interpolation with applications to the finite element method
• Sard kernel theorems on triangular domains with application to finite element error bounds
• On the finite element method
• Two-sided bounds of the discretization error for finite elements
• On Optimal Interpolation Triangle Incidences
• On Nonobtuse Simplicial Partitions
• On the Maximum Angle Condition for Linear Tetrahedral Elements
• On the Angle Condition in the Finite Element Method

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