Error analysis of Lagrange interpolation on tetrahedrons

DOI10.1016/j.jat.2019.105302OpenAlexW2975161942MaRDI QIDQ2007608

Kenta Kobayashi, Takuya Tsuchiya

Publication date: 22 November 2019

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1606.03918

zbMATH Keywords

finite elementsLagrange interpolationtetrahedronsprojected circumradius

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical interpolation (65D05)

Related Items (7)

Method of averaged element splittings for diffusion terms discretization in vertex-centered framework ⋮ Immersed virtual element methods for elliptic interface problems in two dimensions ⋮ On degenerating finite element tetrahedral partitions ⋮ Projection-based guaranteed \(L^2\) error bounds for finite element approximations of Laplace eigenfunctions ⋮ A robust discontinuous Galerkin scheme on anisotropic meshes ⋮ A new geometric condition equivalent to the maximum angle condition for tetrahedrons ⋮ General theory of interpolation error estimates on anisotropic meshes

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