A. Marrocco et P. Montarnal, SIMULATION OF ENERGY-TRANSPORT MODELS VIA MIXED FINITE-ELEMENTS, Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 323(5), 1996, pp. 535-541
In this Nose, we study the application of the mixed finite elements me
thod (MFE) for the simulation of the simplified hydrodynamic and energ
y transport models. The two main points are, firstly the use of ''quas
i-entropic'' variables which gives a symmetric definite positive probl
em and secondly the coupled computation of the equations, which requir
es a generalization of the MFE method for vector valued problems. We o
btain a first validation of our method with some results on a ballisti
c diode n(+)-n-n(+).