Finite volume scheme for multi-dimensional drift-diffusion equations and convergence analysis
Finite volume scheme for multi-dimensional drift-diffusion equations and convergence analysis
We introduce a finite volume scheme for multi-dimensional drift-diffusion equations. Such equations arise from the theory of semiconductors and are composed of two continuity equations coupled with a Poisson equation. In the case that the continuity equations are non degenerate, we prove the convergence of the scheme and then the …