Nonlinear Model Order Reduction using POD/DEIM for Optimal Control of Burgers' Equation

Title

Nonlinear Model Order Reduction using POD/DEIM for Optimal Control of Burgers' Equation

 Author

Baumann, M.M.

Contributor

Van Gijzen, M.B. (mentor)
Rojas, M. (mentor)

Faculty

Electrical Engineering, Mathematics and Computer Science

 Department

Numerical Analysis

 Programme

Erasmus Mundus COSSE

 Date

2013-07-15

 Abstract

The model-order reduction techniques Proper Orthogonal Decomposition (POD) and Discrete Empirical Interpolation Method (DEIM) have been applied for the optimal control of Burgers' equation. Accuracy and performance of the reduced models have been studied in detail for different values of the viscosity parameter and different sizes of the discretization. Therefore, the three different optimization algorithms Newton-type, BFGS and SPG have been taken into account.

 Subject

model-order reduction
nonlinear dynamical systems
Burgers' equation
proper orthogonal decomposition
discrete empirical interpolation method
optimal control

 To reference this document use:

http://resolver.tudelft.nl/uuid:242e3440-535a-4143-8036-5af5495d60bd

 Embargo date

2013-07-15

 Part of collection

Student theses

 Document type

master thesis

 Rights

(c) 2013 Baumann, M.M.