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Mixed finite element analysis of a thermally nonlinear coupled problem

โœ Scribed by Jiang Zhu; Abimael F. D. Loula

Publisher
John Wiley and Sons
Year
2005
Tongue
English
Weight
223 KB
Volume
22
Category
Article
ISSN
0749-159X

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โœฆ Synopsis

Abstract

In Loula and Zhou [Comput Appl Math 20 (2001), 321โ€“339], a thermally coupled nonlinear elliptic system modeling a large class of engineering problems was considered, and some mathematical and numerical analyses (C^0^ Lagrangian finite elements combined with a fixed point algorithm) were given. To continue our work, we propose in this article a mixed method for the potential equation and present the corresponding analyses and numerical implementations. ยฉ 2005 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2006

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This paper presents a variation of Biot's consolidation theory for analysing problems involving unsaturated soils, and implemented using the "nite element method. The numerical method is applied to a few geotechnical problems as examples and the results obtained are compared to some published data.