Open AccessSimulation of Steady-State Nonlinear Heat Transfer Problems Through the Minimization of Quadratic Functionals
Author(s) -
Rogério Martins Saldanha da Gama
Publication year - 2002
Publication title -
revista brasileira de ciências mecânicas
Language(s) - English
Resource type - Journals
ISSN - 0100-7386
DOI - 10.1590/s0100-73862002000100003
Subject(s) - thermal conduction , quadratic equation , nonlinear system , minification , heat transfer , work (physics) , finite element method , mathematics , steady state (chemistry) , class (philosophy) , mathematical optimization , computer science , mechanics , physics , thermodynamics , geometry , chemistry , quantum mechanics , artificial intelligence
In this work it is presented a systematic procedure for constructing the solution of a large class of nonlinear conduction heat transfer problems through the minimization of quadratic functionals like the ones usually employed for linear descriptions. The proposed procedure gives rise to an efficient and easy way for carrying out numerical simulations of nonlinear heat transfer problems by means of finite elements. To illustrate the procedure a particular problem is simulated by means of a finite element approximation