Nonconforming finite element methods without numerical locking
type: Item
instance of: scholarly article
title: Nonconforming finite element methods without numerical locking
zbMATH Open document ID: 0918.65070
author: Daniela Capatina-Papaghiuc
author: Jean-Marie Thomas
published in: Numerische Mathematik
publication date: 1999-08-17T00:00:00Z
review text: Many authors have studied different methods to cure numerical locking which can occur in the approximation of elliptic problems which depend on a small parameter \(\varepsilon\) (very thin plates or shells, nearly incompressible elasticity, heat transfer problems with very small ratio of conductivies,\(\dots\)). By using compactness properties proved by \textit{F. Stummel} for nonconforming spaces [RAIRO, Anal. Numer. 14, 81-115 (1980; Zbl 0456.65061)] the authors extend to the nonconforming case some results obtained by \textit{D. Chenais} and \textit{J.-C. Paumier} [Numer. Math. 67, No. 4, 427-440 (1994; Zbl 0798.73054) in the prevention of numerical locking for the conforming finite element method. Results are valid whether numerical integration is used or not. This is a very nice theoretical study including detailed proofs.
reviewed by: Michel Bernadou
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 35J25
Mathematics Subject Classification ID: 35B25
zbMATH DE Number: 1247601
zbMATH Keywords: singular perturbation
zbMATH Keywords: nonconforming finite element methods
zbMATH Keywords: numerical locking
zbMATH Keywords: elliptic problems
zbMATH Keywords: small parameter
MaRDI profile type: Publication
full work available at URL: s002110050388
OpenAlex ID: W1979528458
DOI: 10.1007/S002110050388
description: scientific article; zbMATH DE number 1247601