Anisotropic conforming rectangular elements for elliptic problems of any order

DOI10.1016/j.apnum.2008.05.004zbMath1161.65084OpenAlexW2010006009MaRDI QIDQ1012255

Shipeng Mao, Shao-Chun Chen, Yong-Qin Yang

Publication date: 15 April 2009

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2008.05.004

zbMATH Keywords

error estimatesfinite element methodanisotropic Hermite interpolationdivided difference with coincident knotselliptic problem of any order

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

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Cites Work

• Anisotropic interpolations with application to nonconforming elements
• Anisotropic interpolation with applications to the finite element method
• Anisotropic interpolation and quasi-Wilson element for narrow quadrilateral meshes
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