On the numerical solution of differential equations by the finite element method. II: Alternative finite element formulations
type: Item
instance of: scholarly article
title: On the numerical solution of differential equations by the finite element method. II: Alternative finite element formulations
zbMATH Open document ID: 0633.65105
author: Junuthula Narasimha Reddy
published in: Indian Journal of Pure \& Applied Mathematics
publication date: 1985-01-01T00:00:00Z
review text: In this 2nd part of the two-part article the author discusses alternate finite element formulations based on variational methods other than the Ritz method which is described in the first part [ibid. 16, 1341-1376 (1985; reviewed above)]. After reviewing the classical variational methods, weighted-residual method involving the Galerkin model, collocation model and least squares model are described. First- and second-order equations in one dimension are treated with a number of examples.
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 65L60
Mathematics Subject Classification ID: 65-01
Mathematics Subject Classification ID: 35J05
Mathematics Subject Classification ID: 34B05
zbMATH DE Number: 4030902
zbMATH Keywords: elementary exposition
zbMATH Keywords: finite element
zbMATH Keywords: variational methods
zbMATH Keywords: Ritz method
zbMATH Keywords: weighted-residual method
zbMATH Keywords: Galerkin model
zbMATH Keywords: collocation
zbMATH Keywords: least squares
reviewed by: K. T. S. Iyengar
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4030902