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Open Mathematics

formerly Central European Journal of Mathematics

Editor-in-Chief: Vespri, Vincenzo / Marano, Salvatore Angelo

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Volume 11, Issue 4


Volume 13 (2015)

Anisotropic interpolation error estimates via orthogonal expansions

Mingxia Li / Shipeng Mao
  • LSEC, Institute of Computational Mathematics, AMSS, Chinese Academy of Sciences, Zhongguancun Donglu 55, Beijing, 100190, China
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Published Online: 2013-01-29 | DOI: https://doi.org/10.2478/s11533-013-0203-2


We prove anisotropic interpolation error estimates for quadrilateral and hexahedral elements with all possible shape function spaces, which cover the intermediate families, tensor product families and serendipity families. Moreover, we show that the anisotropic interpolation error estimates hold for derivatives of any order. This goal is accomplished by investigating an interpolation defined via orthogonal expansions.

MSC: 65N12; 65N15; 65N30; 65N50

Keywords: Error estimates; Anisotropic interpolation; Orthogonal expansions

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About the article

Published Online: 2013-01-29

Published in Print: 2013-04-01

Citation Information: Open Mathematics, Volume 11, Issue 4, Pages 621–629, ISSN (Online) 2391-5455, DOI: https://doi.org/10.2478/s11533-013-0203-2.

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