Coupled multiscale simulation and optimization in nanoelectronics /

Coupled multiscale simulation and optimization in nanoelectronics /

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Bibliographic Details
Imprint:Heidelberg : Springer, 2015.
Description:1 online resource.
Language:English
Series:Mathematics in industry, 2198-3283 ; 21. The European Consortium for Mathematics in Industry
Mathematics in industry ; 21.
European Consortium for Mathematics in Industry (Series)
Subject:
Nanoelectronics.
Multiscale modeling.
Multiscale modeling.
Nanoelectronics.
Format: E-Resource Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/11094722
Hidden Bibliographic Details
Other authors / contributors:Günther, Michael (Mathematician), editor.
ISBN:9783662466728
3662466724
3662466716
9783662466711
9783662466711
Digital file characteristics:text file PDF
Notes:Includes bibliographical references and index.
Online resource; title from PDF title page (Ebsco, viewed June 22, 2015).
Summary:Designing complex integrated circuits relies heavily on mathematical methods and calls for suitable simulation and optimization tools. The current design approach involves simulations and optimizations in different physical domains (device, circuit, thermal, electromagnetic) and in a range of electrical engineering disciplines (logic, timing, power, crosstalk, signal integrity, system functionality). COMSON was a Marie Curie Research Training Network created to meet these new scientific and training challenges by (a) developing new descriptive models that take these mutual dependencies into account, (b) combining these models with existing circuit descriptions in new simulation strategies, and (c) developing new optimization techniques that will accommodate new designs. The book presents the main project results in the fields of PDAE modeling and simulation, model order reduction techniques and optimization, based on merging the know-how of three major European semiconductor companies with the combined expertise of university groups specialized in developing suitable mathematical models, numerical schemes and e-learning facilities. In addition, a common Demonstrator Platform for testing mathematical methods and approaches was created to assess whether they are capable of addressing the industry's problems, and to educate young researchers by providing hands-on experience with state-of-the-art problems.
Other form:Print version: Günther, Michael. Coupled Multiscale Simulation and Optimization in Nanoelectronics. Berlin, Heidelberg : Springer Berlin Heidelberg, ©2015 9783662466711
Standard no.:10.1007/978-3-662-46672-8
Table of Contents:
  • Preface; Contents; List of Contributors; Part I Introduction; 1 The COMSON Project; 1.1 Trends in Microelectronics; 1.2 Scope of the COMSON Project; 1.3 Methodology; 1.3.1 The Demonstrator Platform; 1.3.1.1 Objectives and Benefits; 1.3.1.2 State of the Art; 1.3.1.3 Basic Concepts; 1.3.2 E-Learning; 1.4 Modelling, Simulation and Optimisation; 1.4.1 Partial Differential Algebraic Equations; 1.4.2 Dynamic Iteration; 1.4.3 Model Order Reduction; 1.4.4 Optimisation; References; Part II Partial Differential Algebraic Equations; 2 PDAE Modeling and Discretization.
  • 2.1 Introduction on Modeling and PDAEs2.1.1 Mathematical Modeling in Nanoelectronics; 2.1.2 Classification of PDAE Models; 2.1.2.1 Refined Modeling; 2.1.2.2 Multiphysical Extensions; 2.2 Modeling, Analysis and Discretization of Coupled Problems; 2.2.1 Refined Modeling of Networks with Devices; 2.2.1.1 Modeling of Electric Networks; 2.2.1.2 Distributed Models for Devices; 2.2.1.3 Displacement Current and Device Capacitance Matrix; 2.2.1.4 The Drift-Diffusion Model; 2.2.1.5 Space Discretization of the Distributed Model: The Gummel Map.
  • 2.2.1.6 Space Discretization of the Distributed Model: The Box Integration Method2.2.1.7 Space Discretization of the Distributed Model: The Coupling Conditions; 2.2.2 Electro-Thermal Effects at the System Level; 2.2.2.1 Definition of the PDE-Based Thermal Element Model; 2.2.2.2 Analysis of the Thermal Element Model; 2.2.2.3 Evaluation of the Thermal Element Model; 2.2.2.4 Analysis of the Coupled System; 2.2.3 Multiphysics Modeling via Maxwell's Equations ; 2.2.3.1 Maxwell's Equations; 2.2.3.2 Conductor Models; 2.2.3.3 Discretization; 2.2.3.4 Discrete Vector Potential Formulation.
  • 2.2.3.5 Gauging of the Curl-Curl Equation2.2.3.6 Structure of the Coupled System; 2.2.4 Thermal and Quantum Effects in Semiconductors; 2.2.4.1 The Electron-Phonon System ; 2.2.4.2 The Maximum Entropy Principle ; 2.2.4.3 Closure Relations: Phonon Subsystem; 2.2.4.4 Closure Relations for Electrons; 2.2.4.5 Limiting Energy Transport and Lattice Heating Model; 2.2.4.6 Quantum Corrections; 2.2.4.7 Quantum Corrections in the High Field Approximation; 2.2.4.8 Quantum Corrected Energy-Transport and Crystal Heating Model; References.
  • 3 Simulation of Coupled PDAEs: Dynamic Iteration and Multirate Simulation3.1 Aim and Outline; 3.2 Theory of Dynamic Iteration Schemes for Coupled DAEs; 3.2.1 Description of Coupled Systems; 3.2.2 Iteration Schemes for Coupled DAE Systems; 3.2.3 Convergence and Stability; 3.2.3.1 Error Recursion; 3.2.3.2 Contraction and Local Error; 3.2.3.3 Stability and Convergence for Windowing Technique; 3.3 Applications in Electrical Engineering; 3.3.1 Refined Network Models; 3.3.2 Electro-Thermal Coupling.

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