The Quasi-Neutral Limit in Optimal Semiconductor Design
DOI10.1137/15M1051877zbMath1372.35029arXiv1512.01116OpenAlexW3105795890MaRDI QIDQ5348482
Claudia Totzeck, Oliver Tse, René Pinnau
Publication date: 18 August 2017
Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1512.01116
drift-diffusion model\(\Gamma\)-convergencefirst-order necessary conditionnonlinear nonlocal Poisson equation
Optimality conditions for problems involving partial differential equations (49K20) Asymptotic behavior of solutions to PDEs (35B40) Variational methods for elliptic systems (35J50) PDEs in connection with quantum mechanics (35Q40) Existence theories for optimal control problems involving partial differential equations (49J20) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) PDEs in connection with control and optimization (35Q93)
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- Geometric programming approach to doping profile design optimization of metal-oxide-semiconductor devices
- Recovering doping profiles in semiconductor devices with the Boltzmann-Poisson model
- Automated solution of differential equations by the finite element method. The FEniCS book
- Second-order approach to optimal semiconductor design
- On/off-state design of semiconductor doping profiles
- A special class of stationary flows for two-dimensional Euler equations: A statistical mechanics description
- The thermal equilibrium state of semiconductor devices
- An introduction to \(\Gamma\)-convergence
- The thermal equilibrium solution of a generic bipolar quantum hydrodynamic model
- Quasi-neutral limit of a nonlinear drift diffusion model for semiconductors
- Integral equations. Theory and numerical treatment
- Optimal control of the stationary quantum drift-diffusion model
- Semiconductor device optimization in the presence of thermal effects
- Optimal Control of Self-Consistent Classical and Quantum Particle Systems
- Optimization with PDE Constraints
- OPTIMAL DOPANT PROFILING BASED ON ENERGY-TRANSPORT SEMICONDUCTOR MODELS
- A GLOBALLY CONVERGENT GUMMEL MAP FOR OPTIMAL DOPANT PROFILING
- Identifiability of Semiconductor Defects from LBIC Images
- Reconstruction of Semiconductor Doping Profile from Laser-Beam-Induced Current Image
- Fast Optimal Design of Semiconductor Devices
- Quasineutral limit of an euler-poisson system arising from plasma physics
- An Introduction to Variational Inequalities and Their Applications
- The Stationary Current-Voltage Characteristics of the Quantum Drift-Diffusion Model
- AN OPTIMAL CONTROL APPROACH TO SEMICONDUCTOR DESIGN
- Towards Doping Optimization of Semiconductor Lasers
- Optimale Steuerung partieller Differentialgleichungen
- Modeling and Analysis of Laser-Beam-Induced Current Images in Semiconductors
- Quasi-neutral Limit of the Drift Diffusion Models for Semiconductors: The Case of General Sign-Changing Doping Profile