Mixed Petrov-Galerkin methods for the Timoshenko beam problem
type: Item
instance of: scholarly article
title: Mixed Petrov-Galerkin methods for the Timoshenko beam problem
zbMATH Open document ID: 0607.73076
DOI: 10.1016/0045-7825(87)90168-X
author: Isidoro Miranda
author: Abimael F. D. Loula
author: T. J. R. Hughes
author: Leopoldo P. Franca
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 1987-01-01T00:00:00Z
review text: A new mixed Petrov-Galerkin method is presented for the Timoschenko beam problem. The method has enhanced stability compared to the Galerkin formulation, allowing new combinations of interpolation, in particular, equal-order stress and displacement fields. The methodology is easily generalizable for multi-dimensional Hellinger-Reissner systems.
Mathematics Subject Classification ID: 74S05
Mathematics Subject Classification ID: 65K10
Mathematics Subject Classification ID: 74K10
Mathematics Subject Classification ID: 65N12
zbMATH DE Number: 3982680
zbMATH Keywords: Brezzi theory
zbMATH Keywords: ellipticity condition
zbMATH Keywords: parameter dependent problems
zbMATH Keywords: Timoschenko beam problem
zbMATH Keywords: mixed Petrov-Galerkin method
zbMATH Keywords: enhanced stability
zbMATH Keywords: equal-order stress and displacement fields
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 3982680