TY  - INPR
A1  - Pinnau, Rene
A1  - Ruiz, Jorge Mauricio
T1  - Convergent Finite Element Discretizations of the Density Gradient Equation for Quantum Semiconductors
N2  - We study nonlinear finite element discretizations for the density gradient equation in the quantum drift diffusion model. Especially, we give a finite element description of the so--called nonlinear scheme introduced by {it Ancona}. We prove the existence of discrete solutions and provide a consistency and convergence analysis, which yields the optimal order of convergence for both discretizations. The performance of both schemes is compared numerically, especially with respect to the influence of approximate vacuum boundary conditions.
T3  - Berichte der Arbeitsgruppe Technomathematik (AGTM Report) - 270 
KW  - density gradient equation
KW  - nonlinear finite element method
KW  - consistency
KW  - convergence
KW  - numerics
Y1  - 2007
UR  - https://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/1864
UR  - https://nbn-resolving.org/urn:nbn:de:hbz:386-kluedo-14943
ER  -