Uniform Convergence of an Exponentially Fitted Scheme for the Quantum Drift Diffusion Model

DOI10.1137/S0036142903429961zbMath1080.65107MaRDI QIDQ4653926

René Pinnau

Publication date: 1 March 2005

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

zbMATH Keywords

uniform convergencenumerical exampleserror boundsmixed finite elementssemiconductorsemiclassical limitexponential fittingquantum drift diffusiongeneralized Scharfetter-Gummel discretization

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Nonlinear elliptic equations (35J60) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Degenerate elliptic equations (35J70) Statistical mechanics of semiconductors (82D37) Quantum hydrodynamics and relativistic hydrodynamics (76Y05)

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