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01.11.2022

Anisotropic Raviart–Thomas interpolation error estimates using a new geometric parameter

verfasst von: Hiroki Ishizaka

Erschienen in: Calcolo | Ausgabe 4/2022

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We present precise Raviart–Thomas interpolation error estimates on anisotropic meshes. The novel aspect of our theory is the introduction of a new geometric parameter of simplices. It is possible to obtain new anisotropic Raviart–Thoma error estimates using the parameter. We also include corrections to an error in “General theory of interpolation error estimates on anisotropic meshes” (Japan Journal of Industrial and Applied Mathematics, 38 (2021) 163-191), in which Theorem 3 was incorrect.

Vorheriger Artikel Single-pass randomized QLP decomposition for low-rank approximation

Nächster Artikel A Banach spaces-based mixed-primal finite element method for the coupling of Brinkman flow and nonlinear transport

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Titel: Anisotropic Raviart–Thomas interpolation error estimates using a new geometric parameter
verfasst von: Hiroki Ishizaka
Publikationsdatum: 01.11.2022
Verlag: Springer International Publishing
Erschienen in: Calcolo / Ausgabe 4/2022
Print ISSN: 0008-0624
Elektronische ISSN: 1126-5434
DOI: https://doi.org/10.1007/s10092-022-00494-1

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Anisotropic Raviart–Thomas interpolation error estimates using a new geometric parameter

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