Divergence of FEM: Babuška-Aziz triangulations revisited.

DOI10.1007/s10492-015-0107-5zbMath1363.65202OpenAlexW2280001613MaRDI QIDQ499034

Peter Oswald

Publication date: 29 September 2015

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

Full work available at URL: http://hdl.handle.net/10338.dmlcz/144387

zbMATH Keywords

triangulationconvergencefinite elementserror boundsdivergencePoisson problemcounterexamplesmaximum angle condition

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) 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)

Related Items (4)

On degenerating finite element tetrahedral partitions ⋮ On Equivalence of Maximum Angle Conditions for Tetrahedral Finite Element Meshes ⋮ On Mesh Regularity Conditions for Simplicial Finite Elements ⋮ Finite element method with local damage of the mesh

Cites Work

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• The maximum angle condition is not necessary for convergence of the finite element method
• On semiregular families of triangulations and linear interpolation
• A Babuška-Aziz type proof of the circumradius condition
• On the Angle Condition in the Finite Element Method

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