General theory of interpolation error estimates on anisotropic meshes

DOI10.1007/s13160-020-00433-zzbMath1467.65009arXiv2002.09721OpenAlexW3045955707MaRDI QIDQ2024607

Takuya Tsuchiya, Kenta Kobayashi, Hiroki Ishizaka

Publication date: 4 May 2021

Published in: Japan Journal of Industrial and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2002.09721

zbMATH Keywords

finite element methodanisotropic meshesinterpolation error estimatesRaviart-Thomas interpolation

Mathematics Subject Classification ID

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

Related Items

Error estimation of anisotropic interpolation for serendipity elements of arbitrary degree ⋮ Correction to: ``General theory of interpolation error estimates on anisotropic meshes ⋮ A robust discontinuous Galerkin scheme on anisotropic meshes ⋮ A new geometric condition equivalent to the maximum angle condition for tetrahedrons ⋮ Crouzeix-Raviart and Raviart-Thomas finite-element error analysis on anisotropic meshes violating the maximum-angle condition ⋮ Anisotropic Raviart-Thomas interpolation error estimates using a new geometric parameter ⋮ Anisotropic interpolation error estimates using a new geometric parameter

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