𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Discrete compactness property for quadrilateral finite element spaces

✍ Scribed by Francesca Gardini

Publisher
John Wiley and Sons
Year
2004
Tongue
English
Weight
172 KB
Volume
21
Category
Article
ISSN
0749-159X

No coin nor oath required. For personal study only.

✦ Synopsis

Abstract

The main purpose of the present article is to prove the discrete compactness property for Arnold‐Boffi‐Falk spaces of any order. Results of numerical experiments confirming the theory are also reported. © 2004 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2005

📜 SIMILAR VOLUMES

Bilinear finite elements for shells: Iso
Bilinear finite elements for shells: Isoparametric quadrilaterals
✍ Antti H. Niemi; Juhani Pitkäranta 📂 Article 📅 2008 🏛 John Wiley and Sons 🌐 English ⚖ 388 KB

## Abstract We study the accuracy and reliability of the lowest‐order bilinear shell finite element schemes. Our approach is based mainly on a simplified shallow shell model analogous to the Reissner–Mindlin model of plate bending. The numerical models are constructed by modifying the strain expres

Finite rotation quadrilateral element fo
Finite rotation quadrilateral element for multi-layer beams
✍ K. Wisniewski 📂 Article 📅 1999 🏛 John Wiley and Sons 🌐 English ⚖ 208 KB

The paper presents the ÿnite rotations beam equations derived on use of the generalized Reissner hypothesis with a scalar parameter for the transverse extension. The beam strain and change of curvature measures are obtained from the right stretch strain, and the virtual work is given for Biot-type s

Quadrilateral elements for the solution
Quadrilateral elements for the solution of elasto-plastic finite strain problems
✍ José M. A. César de Sá; Pedro M. A. Areias; Renato M. Natal Jorge 📂 Article 📅 2001 🏛 John Wiley and Sons 🌐 English ⚖ 370 KB 👁 1 views

## Abstract In this paper two plane strain quadrilateral elements with two and four variables, are proposed. These elements are applied to the analysis of finite strain elasto‐plastic problems. The elements are based on the enhanced strain and B‐bar methodologies and possess a stabilizing term. The