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Finite element approximation to nonlinear coupled thermal problem

✍ Scribed by Yanzhen Chang; Danping Yang; Jiang Zhu

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
668 KB
Volume
225
Category
Article
ISSN
0377-0427

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✦ Synopsis

A nonlinear coupled elliptic system modelling a large class of engineering problems was discussed in [A.F.

πŸ“œ SIMILAR VOLUMES

Mixed finite element analysis of a therm
Mixed finite element analysis of a thermally nonlinear coupled problem
✍ Jiang Zhu; Abimael F. D. Loula πŸ“‚ Article πŸ“… 2005 πŸ› John Wiley and Sons 🌐 English βš– 223 KB

## Abstract In Loula and Zhou [Comput Appl Math 20 (2001), 321–339], 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)

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This paper is a survey of results which we have obtained in solving a stationary nonlinear heat conduction problem by the finite element method. In particular, we present uniqueness theorems for the classical and weak solutions, a comparison theorem, existence theorems for the weak and finite elemen