Anisotropic interpolation error estimates via orthogonal expansions

• Autorzy: Mingxia Li , Shipeng Mao
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Error estimates; Anisotropic interpolation; Orthogonal expansions

Kategorie tematyczne

• 65N30: Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods
• 65N15: Error bounds
• 65N50: Mesh generation and refinement
• 65N12: Stability and convergence of numerical methods

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2013
• Tom: 11
• Numer: 4
• Strony: 621-629

Daty

wydano

2013-04-01

online

2013-01-29

Twórcy

autor

Mingxia Li

• China University of Geoscience (Beijing)

autor

Shipeng Mao

• Chinese Academy of Sciences

Bibliografia

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Identyfikatory

DOI

10.2478/s11533-013-0203-2