caa a22 4500 46575161X CHVBK 20180323111835.0 cr unu---uuuuu 170327e19900901xx s 000 0 eng 10.1007/BF02250636 doi (NATIONALLICENCE)springer-10.1007/BF02250636 Finite element approximation of electrostatic potential in one dimensional multilayer structures with quantized electronic charge [Elektronische Daten] [Ph. Caussignac, B. Zimmermann, R. Ferro] Finite Elemente Annäherung des elektrostatischen Potentials in eindimensionalen Mehrschichtstrukturen mit quantifizierter Elektronenladung The problem of computing the electrostatic potential in a one dimensional multilayer semiconductor device with quantized electrons density is analysed using results of monotone operator theory and perturbation calculus. An error estimate is proved for the discretization with Lagrange finite elements of degree one. A practical implementation of the method, using a quasi-Newton algorithm is presented together with some numerical results. Springer-Verlag, 1990 Numerical analysis nationallicence nonlinear differential equations nationallicence finite elements nationallicence numerical simulation nationallicence Caussignac Ph Département de mathématiques, Ecole Polytechnique Fédérale, CH-1015, Lausanne, Switzerland aut Zimmermann B. Institut de micro- et optoélectronique, Ecole Polytechnique Fédérale, CH-1015, Lausanne, Switzerland aut Ferro R. Département de mathématiques, Ecole Polytechnique Fédérale, CH-1015, Lausanne, Switzerland aut Computing Springer-Verlag 45/3(1990-09-01), 251-264 0010-485X 45:3<251 1990 45 607 https://doi.org/10.1007/BF02250636 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF02250636 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Caussignac Ph Département de mathématiques, Ecole Polytechnique Fédérale, CH-1015, Lausanne, Switzerland aut NATIONALLICENCE 700 1- Zimmermann B. Institut de micro- et optoélectronique, Ecole Polytechnique Fédérale, CH-1015, Lausanne, Switzerland aut NATIONALLICENCE 700 1- Ferro R. Département de mathématiques, Ecole Polytechnique Fédérale, CH-1015, Lausanne, Switzerland aut NATIONALLICENCE 773 0- Computing Springer-Verlag 45/3(1990-09-01), 251-264 0010-485X 45:3<251 1990 45 607 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer