Using sparse control methods to identify sources in linear diffusion-convection equations. (3rd October 2019)
- Record Type:
- Journal Article
- Title:
- Using sparse control methods to identify sources in linear diffusion-convection equations. (3rd October 2019)
- Main Title:
- Using sparse control methods to identify sources in linear diffusion-convection equations
- Authors:
- Casas, E
Kunisch, K - Abstract:
- Abstract: Techniques from sparse control theory are proposed to approximate initial conditions for diffusion-convection equations. Existence and uniqueness of optimal controls are proven, and necessary and sufficient optimality conditions are derived. From these conditions the sparsity structure of the solutions is derived, which relates to identification of the sources to be reconstructed.
- Is Part Of:
- Inverse problems. Volume 35:Number 11(2019)
- Journal:
- Inverse problems
- Issue:
- Volume 35:Number 11(2019)
- Issue Display:
- Volume 35, Issue 11 (2019)
- Year:
- 2019
- Volume:
- 35
- Issue:
- 11
- Issue Sort Value:
- 2019-0035-0011-0000
- Page Start:
- Page End:
- Publication Date:
- 2019-10-03
- Subjects:
- measure controls -- sparsity -- parabolic equations -- source identification
Inverse problems (Differential equations) -- Periodicals
515.357 - Journal URLs:
- http://iopscience.iop.org/0266-5611 ↗
http://ioppublishing.org/ ↗ - DOI:
- 10.1088/1361-6420/ab331c ↗
- Languages:
- English
- ISSNs:
- 0266-5611
- Deposit Type:
- Legaldeposit
- View Content:
- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library DSC - BLDSS-3PM
British Library STI - ELD Digital store - Ingest File:
- 12017.xml