Lagrange and average interpolation over 3D anisotropic elements
type: Item
instance of: scholarly article
title: Lagrange and average interpolation over 3D anisotropic elements
zbMATH Open document ID: 0991.41004
DOI: 10.1016/S0377-0427(00)00564-1
author: Gabriel Acosta
published in: Journal of Computational and Applied Mathematics
publication date: 2002-08-25T00:00:00Z
review text: The author defines an average interpolant operator over 3-rectangles and tetrahedra, and proves optimal order error estimates in the \(H^1\) norm. Anisotropic estimates can be obtained by using the mollifiers technique. The restrictions of this approach is overcome by introducing some appropriate modification of the classical mollifiers procedure.
Mathematics Subject Classification ID: 41A05
zbMATH DE Number: 1675907
zbMATH Keywords: Lagrange interpolation
zbMATH Keywords: anisotropic elements
zbMATH Keywords: maximum angle condition
MaRDI profile type: Publication
cites work: The Maximum Angle Condition for Mixed and Nonconforming Elements: Application to the Stokes Equations
cites work: Q4266502
cites work: On the Angle Condition in the Finite Element Method
cites work: Q4300595
cites work: Q3890207
cites work: Q4144698
cites work: Error estimates for 3-d narrow finite elements
cites work: Q4116016
cites work: On the Maximum Angle Condition for Linear Tetrahedral Elements
cites work: Q4100478
cites work: Uniform Error Estimates for Certain Narrow Lagrange Finite Elements
cites work: Finite Element Interpolation of Nonsmooth Functions Satisfying Boundary Conditions
cites work: The interpolation theorem for narrow quadrilateral isoparametric finite elements
cites work: Applicability of the Bramble-Hilbert lemma in interpolation problems of narrow quadrilateral isoparametric finite elements
Wikidata QID: Q126556401
reviewed by: Hang Lau
description: scientific article; zbMATH DE number 1675907