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Finite element approximation of a nonlinear heat conduction problem in anisotropic media

✍ Scribed by M. Křížek; L. Liu

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
910 KB
Volume
157
Category
Article
ISSN
0045-7825

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✦ Synopsis

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 element solutions, approximation of a curved boundary and numerical integration, a discrete maximum principle, convergence without any regularity assumptions, a priori error estimates, nonlinear boundary conditions and numerical algorithms.

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