On the convergence and mesh-independent property of the Barzilai–Borwein method for PDE-constrained optimization
| dc.contributor.author | Azmi, Behzad | |
| dc.contributor.author | Kunisch, Karl | |
| dc.date.accessioned | 2022-01-24T13:20:28Z | |
| dc.date.available | 2022-01-24T13:20:28Z | |
| dc.date.issued | 2022 | eng |
| dc.description.abstract | Aiming at optimization problems governed by partial differential equations (PDEs), local R-linear convergence of the Barzilai–Borwein (BB) method for a class of twice continuously Fréchet-differentiable functions is proven. Relying on this result, the mesh-independent principle for the BB-method is investigated. The applicability of the theoretical results is demonstrated for two different types of PDE-constrained optimization problems. Numerical experiments are given, which illustrate the theoretical results. | eng |
| dc.description.version | published | eng |
| dc.identifier.doi | 10.1093/imanum/drab056 | eng |
| dc.identifier.uri | https://kops.uni-konstanz.de/handle/123456789/56315 | |
| dc.language.iso | eng | eng |
| dc.rights | terms-of-use | |
| dc.rights.uri | https://rightsstatements.org/page/InC/1.0/ | |
| dc.subject.ddc | 510 | eng |
| dc.title | On the convergence and mesh-independent property of the Barzilai–Borwein method for PDE-constrained optimization | eng |
| dc.type | JOURNAL_ARTICLE | eng |
| dspace.entity.type | Publication | |
| kops.citation.bibtex | @article{Azmi2022conve-56315,
year={2022},
doi={10.1093/imanum/drab056},
title={On the convergence and mesh-independent property of the Barzilai–Borwein method for PDE-constrained optimization},
number={4},
volume={42},
issn={0272-4979},
journal={IMA Journal of Numerical Analysis},
pages={2984--3021},
author={Azmi, Behzad and Kunisch, Karl}
} | |
| kops.citation.iso690 | AZMI, Behzad, Karl KUNISCH, 2022. On the convergence and mesh-independent property of the Barzilai–Borwein method for PDE-constrained optimization. In: IMA Journal of Numerical Analysis. Oxford University Press (OUP). 2022, 42(4), pp. 2984-3021. ISSN 0272-4979. eISSN 1464-3642. Available under: doi: 10.1093/imanum/drab056 | deu |
| kops.citation.iso690 | AZMI, Behzad, Karl KUNISCH, 2022. On the convergence and mesh-independent property of the Barzilai–Borwein method for PDE-constrained optimization. In: IMA Journal of Numerical Analysis. Oxford University Press (OUP). 2022, 42(4), pp. 2984-3021. ISSN 0272-4979. eISSN 1464-3642. Available under: doi: 10.1093/imanum/drab056 | eng |
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