Title

A Modified Balanced POD Model Reduction Algorithm for Parabolic PDEs with Unbounded Inputs

Abstract

We develop an algorithm to approximate the balanced reduced order model for linear parabolic PDE systems with an unbounded input operator and a bounded output operator. We use balanced POD, a widely used simulation-based algorithm for balanced truncation, however we modify the algorithm to avoid unusual and challenging simulations due to the unbounded input operator. We develop the modified algorithm for two classes of unbounded input operators; the first class includes Neumann boundary input operators, and the second class includes Dirichlet boundary input operators. We present numerical results for a convection diffusion equation.

Meeting Name

American Control Conference (2014: Jun. 4-6, Portland, OR)

Department(s)

Mathematics and Statistics

Research Center/Lab(s)

Center for High Performance Computing Research

Keywords and Phrases

Computational Methods; Control; Balanced Truncation; Convection-Diffusion Equations; Dirichlet Boundary; Distributed Parameter Systems; Modified Algorithms; Numerical Results; Reduced Order Models; Simulation-Based Algorithms; Algorithms

International Standard Book Number (ISBN)

9781479932726

International Standard Serial Number (ISSN)

7431619

Document Type

Article - Conference proceedings

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2014 Institute of Electrical and Electronics Engineers (IEEE), All rights reserved.

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