Abstract
In this paper we examine the identification problem of the heat sink for a one dimensional heat equation through observations of the solution at the boundary or through a desired temperature profile to be attained at a certain given time. We make use of pseudo-spectral methods to recast the direct as well as the inverse problem in terms of linear systems in matrix form. The resulting evolution equations in finite dimensional spaces leads to fast real time algorithms which are crucial to applied control theory.
| Original language | English |
|---|---|
| Pages (from-to) | 1045-1059 |
| Number of pages | 15 |
| Journal | Discrete and Continuous Dynamical Systems - Series S |
| Volume | 15 |
| Issue number | 5 |
| DOIs | |
| State | Published - May 2022 |
Bibliographical note
Publisher Copyright:© 2022 American Institute of Mathematical Sciences. All rights reserved.
Keywords
- Inverse problems
- heat equation
- parameter identification
- reconstruction algorithms
ASJC Scopus subject areas
- Analysis
- Discrete Mathematics and Combinatorics
- Applied Mathematics