Journal
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES
Volume 14, Issue 3, Pages 461-481Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0218202504003313
Keywords
finite volume scheme; drift-diffusion system; degenerate parabolic equations; approximation of gradient; numerical simulation
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This paper is devoted to a finite volume discretization for multidimensional nonlinear drift-diffusion system. Such system arises in semiconductors modelling and is composed of two degenerate parabolic equations and an elliptic one. We prove the convergence of the finite volume scheme and then the existence of solutions to the problem. Several numerical tests show the efficiency of the method.
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