Local polynomial interpolation in a rectangle

DOI10.1007/BF02575880zbMath0862.41003MaRDI QIDQ1817511

Jens Hugger

Publication date: 25 May 1997

Published in: Calcolo (Search for Journal in Brave)

zbMATH Keywords

asymptotic errorLagrange polynomial interpolationTaylor polynomial interpolation

Mathematics Subject Classification ID

Multidimensional problems (41A63) Interpolation in approximation theory (41A05) Approximation by arbitrary nonlinear expressions; widths and entropy (41A46)

Related Items (2)

Recovery of the optimal mesh density function and near‐optimal meshes with rectangular elements in the mapped domain ⋮ The asymptotically optimal meshsize function for bi-p degree interpolation over rectangular elements

Cites Work

• A generalization of the Bramble-Hilbert lemma and applications to multivariate interpolation
• Adaptive recovery of near optimal meshes in the finite element method for parameter dependent problems
• Basic principles of feedback and adaptive approaches in the finite element method
• The theory of density representation of finite element meshes. Examples of density operators with quadrilateral elements in the mapped domain
• Recovery and few parameter representation of the optimal mesh density function for near optimal finite element meshes
• An anisotropic \(h\)-type mesh-refinement strategy
• General Lagrange and Hermite interpolation in \(R^n\) with applications to finite element methods
• Recovery of the optimal mesh density function and near‐optimal meshes with rectangular elements in the mapped domain

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