Convective and radiative thermal transfer with multiple reflections. Analysis and approximation by a finite element method
Monnier, Jerome ; Vila, Jean-Paul
HAL, inria-00256540 / Harvested from HAL
Text on HAL
We study a 3D steady-state thermal model taking into account heat transfer by convection, diffusion and radiation with multiple reflections (grey bodies). This model is a nonlinear integrodifferential system which we solve numerically by a finite element method. Some results of existence and uniqueness of the solution are proved, the numerical analysis is detailed, error estimates are given and twodimensional numerical results of thermal exchanges under a car bonnet are presented.
Publié le : 2001-07-05
Classification:  [MATH.MATH-FA]Mathematics [math]/Functional Analysis [math.FA],  [MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA],  [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP] 
@article{inria-00256540,
     author = {Monnier, Jerome and Vila, Jean-Paul},
     title = {Convective and radiative thermal transfer with multiple reflections. Analysis and approximation by a finite element method},
     journal = {HAL},
     volume = {2001},
     number = {0},
     year = {2001},
     language = {en},
     url = {http://dml.mathdoc.fr/item/inria-00256540}
}

Monnier, Jerome; Vila, Jean-Paul. Convective and radiative thermal transfer with multiple reflections. Analysis and approximation by a finite element method. HAL, Tome 2001 (2001) no. 0, . http://gdmltest.u-ga.fr/item/inria-00256540/