A GLOBALLY CONVERGENT GUMMEL MAP FOR OPTIMAL DOPANT PROFILING

DOI10.1142/S0218202509003619zbMath1173.35706OpenAlexW2053528884MaRDI QIDQ3636496

Martin Burger, René Pinnau

Publication date: 30 June 2009

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218202509003619

zbMATH Keywords

convergenceoptimal designdrift diffusion modelenergy transport modeldopant profilinggeneralized Gummel iterationsemconductors

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) PDEs in connection with optics and electromagnetic theory (35Q60) Variational methods for elliptic systems (35J50) NLS equations (nonlinear Schrödinger equations) (35Q55) Statistical mechanics of semiconductors (82D37) Existence theories for optimal control problems involving partial differential equations (49J20) Optimization problems in optics and electromagnetic theory (78M50)

Related Items (6)

On the Modeling and Simulation of Reaction-Transfer Dynamics in Semiconductor-Electrolyte Solar Cells ⋮ A decoupling two-grid method for the time-dependent Poisson-Nernst-Planck equations ⋮ Numerical algorithms based on Galerkin methods for the modeling of reactive interfaces in photoelectrochemical (PEC) solar cells ⋮ The Quasi-Neutral Limit in Optimal Semiconductor Design ⋮ Instantaneous control of interacting particle systems in the mean-field limit ⋮ Semiconductor device optimization in the presence of thermal effects

Cites Work

• Unnamed Item
• Unnamed Item
• On the stationary quantum drift-diffusion model
• A model hierarchy for semiconductors and plasmas.
• Optimal control of the stationary quantum drift-diffusion model
• Mathematical Properties of Quantum Evolution Equations
• On the Uniqueness of Solutions of van Roosbroeck Equations
• Fast Optimal Design of Semiconductor Devices
• A Mixed Finite-Element Discretization of the Energy-Transport Model for Semiconductors
• The Stationary Current-Voltage Characteristics of the Quantum Drift-Diffusion Model
• A Proof of Convergence of Gummel’s Algorithm for Realistic Device Geometries
• A REVIEW ON THE QUANTUM DRIFT DIFFUSION MODEL
• AN OPTIMAL CONTROL APPROACH TO SEMICONDUCTOR DESIGN
• Wavefunction controllability for finite-dimensional bilinear quantum systems
• ON AN OPEN TRANSIENT SCHRÖDINGER–POISSON SYSTEM

This page was built for publication: A GLOBALLY CONVERGENT GUMMEL MAP FOR OPTIMAL DOPANT PROFILING