Analysis of Charge Transport
Springer Berlin (Verlag)
978-3-642-79989-1 (ISBN)
Charge transport is a very active and quickly developing research field with a rich tradition going back into the last century. The author is one of the leading experts working on the mathematical theory and approximation of semiconductor models. During the last 15 years, he has made important contributions to this area.
1. Introduction.- 1.1 Modeling.- 1.2 Computational Foundations.- 1.3 Mathematical Theory.- 1.4 Summary.- I. Modeling of Semiconductor Devices.- 2. Development of Drift-Diffusion Models.- 3. Moment Models: Microscopic to Macroscopic.- II. Computational Foundations.- 4. A Family of Solution Fixed Point Maps: Partial Decoupling.- 5. Nonlinear Convergence Theory for Finite Elements.- III. Mathematical Theory.- 6. Numerical Fixed Point Approximation in Banach Space.- 7. Construction of the Discrete Approximation Sequence.- References.
Erscheint lt. Verlag | 8.12.2011 |
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Zusatzinfo | XI, 167 p. |
Verlagsort | Berlin |
Sprache | englisch |
Maße | 155 x 235 mm |
Gewicht | 294 g |
Themenwelt | Mathematik / Informatik ► Mathematik ► Analysis |
Naturwissenschaften ► Physik / Astronomie | |
Technik ► Elektrotechnik / Energietechnik | |
Schlagworte | Abweichungs-Diffusionssystem • Analysis • Boltzmann transport equation • Boltzmann-Transportmodell • Calculus • contractation principle • differential equation • Diskretisierung • Drift-diffusion system • elliptic degeneracy • elliptische Ausartung • Energie • Energietransportmodell • energy transport model • Finite Element Method • Gummel Iteration • hydrodynamic model • hydrodynamisches Modell • inf-sup Theorie • inf-sup theory • Kontractionsprinzip • Krasnosel'skii Calculus • Linearisierung • Linearization • mixed boundary value problem • Moments • Nash-Moser Iteration • nichtlineare finite Elemente-Konvergenz-Theorie • nonlinear finite element convergence theory • numerical fixed point map • numerische fixed point map • p/n junction • p/n Junktion • point map • Sättigungsgeschwindigkeit • saturation velocity • Scharfetter-Gummel • Scharfetter-Gummel discretization • System decoupling • Transistor • variational inequalities • Variationsungleichungen • vermischtes Grenzwertproblem |
ISBN-10 | 3-642-79989-2 / 3642799892 |
ISBN-13 | 978-3-642-79989-1 / 9783642799891 |
Zustand | Neuware |
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