Coupled Systems: Theory, Models, and Applications in Engineering

Introduction
Outline of the Book
Coupled Systems as Interdisciplinary Research

General Principle for Coupled Systems
Coupling Analysis
Multiscale Analysis

Numerical Methods
Classical Methods
Modern Methods

Applications
Applications to Multiscale Expansions
Nonlinear Reaction Example: Averaging
PECVD-Process: Upscaled Reaction Process
Stochastic Differential Equations: Particle Simulation for Coulomb Collisions
Particle-In-Cell: Multiscale Method with Applications
Application to Multiscale Problem in Transport-Reaction Problems
Application to Multiscale Problem in Heat Transfer in Porous Media
Application to Multiscale Problem in Porous Media Based on a Model of a Parallel Plate PECVD Apparatus
Monte Carlo Simulations Concerning Modeling DC and High Power Pulsed Magnetron Sputtering
Splitting Methods as Coupling Schemes: Theory and Application to Electro-Magnetic Fields
Improvement of Multiscale Methods via Zassenhaus Expansion: Theory and Application to Multiphase Problems
Improvement of Multiscale Methods via Disentanglement of Exponential Operators
Multiscale Problem with Embedded Analytical Solutions of the Microscale Part
Multiscale Approaches to Solve Time-Dependent Burgers' Equations
Step-Size Control in Simulation of Diffusive CVD Processes Based on Adaptive Schemes

Summary and Perspectives

Software Tools
Software Package r³t
Benchmark Software: MULTI-OPERA

Appendix

Bibliography

Index