at Google ScholarTitle data
Hoff, Daniel ; Wendland, Holger:
A meshfree method for a PDE-constrained optimization problem.
In: SIAM Journal on Numerical Analysis.
Vol. 59
(2021)
.
- pp. 1896-1917.
ISSN 1095-7170
DOI: https://doi.org/10.1137/20M1363510
Abstract in another language
We describe a new approximation method for solving a PDE-constrained optimization problem numerically. Our method is based on the adjoint formulation of the optimization problem, leading to a system of weakly coupled, elliptic PDEs. These equations are then solved using kernel-based collocation. We derive an error analysis and give numerical examples.
Further data
| Item Type: | Article in a journal |
|---|---|
| Refereed: | Yes |
| Keywords: | PDE-constrained optimization; radial basis functions; meshfree methods; kernel-based approximation; error analysis |
| Subject classification: | Mathematics Subject Classification Code: 65N15 65N35 49M05 |
| Institutions of the University: | Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics III (Applied and Numerical Analysis) > Chair Mathematics III (Applied and Numerical Analysis) - Univ.-Prof. Dr. Holger Wendland |
| Result of work at the UBT: | Yes |
| DDC Subjects: | 500 Science > 510 Mathematics |
| Date Deposited: | 06 Mar 2024 08:30 |
| Last Modified: | 06 Mar 2024 08:30 |
| URI: | https://eref.uni-bayreuth.de/id/eprint/88801 |