[{"date_updated":"2022-01-06T07:04:00Z","creator":{"id":"47427","login":"speitz"},"language":[{}],"dc":{"rights":["info:eu-repo/semantics/closedAccess"],"language":["eng"],"type":["info:eu-repo/semantics/conferenceObject","doc-type:conferenceObject","text","http://purl.org/coar/resource_type/c_5794"],"identifier":["https://ris.uni-paderborn.de/record/8757"],"date":["2018"],"relation":["info:eu-repo/semantics/altIdentifier/doi/10.1002/pamm.201710015","info:eu-repo/semantics/altIdentifier/issn/1617-7061"],"description":["A framework for set‐oriented multiobjective optimal control of partial differential equations using reduced order modeling has recently been developed [1]. Following concepts from localized reduced bases methods, error estimators for the reduced cost functionals are utilized to construct a library of locally valid reduced order models. This way, a superset of the Pareto set can efficiently be computed while maintaining a prescribed error bound. In this article, this algorithm is applied to a problem with non‐smooth objective functionals. Using an academic example, we show that the extension to non‐smooth problems can be realized in a straightforward manner. We then discuss the implications on the numerical results."],"source":["Beermann D, Dellnitz M, Peitz S, Volkwein S. POD-based multiobjective optimal control of PDEs with non-smooth objectives. In: PAMM. ; 2018:51-54. doi:10.1002/pamm.201710015"],"creator":["Beermann, Dennis","Dellnitz, Michael","Peitz, Sebastian","Volkwein, Stefan"],"title":["POD-based multiobjective optimal control of PDEs with non-smooth objectives"]},"department":[{"tree":[{"_id":"99"},{"_id":"10"},{"_id":"34"},{"_id":"44"},{"_id":"43"}],"_id":"101"}],"publication_identifier":{"issn":[]},"dini_type":"doc-type:conferenceObject","publication_status":"published","project":[{"name":"Computing Resources Provided by the Paderborn Center for Parallel Computing","_id":"52"}],"_id":"8757","citation":{"bibtex":"@inproceedings{Beermann_Dellnitz_Peitz_Volkwein_2018, title={POD-based multiobjective optimal control of PDEs with non-smooth objectives}, DOI={10.1002/pamm.201710015}, booktitle={PAMM}, author={Beermann, Dennis and Dellnitz, Michael and Peitz, Sebastian and Volkwein, Stefan}, year={2018}, pages={51–54} }","mla":"Beermann, Dennis, et al. “POD-Based Multiobjective Optimal Control of PDEs with Non-Smooth Objectives.” PAMM, 2018, pp. 51–54, doi:10.1002/pamm.201710015.","apa":"Beermann, D., Dellnitz, M., Peitz, S., & Volkwein, S. (2018). POD-based multiobjective optimal control of PDEs with non-smooth objectives. In PAMM (pp. 51–54). https://doi.org/10.1002/pamm.201710015","chicago":"Beermann, Dennis, Michael Dellnitz, Sebastian Peitz, and Stefan Volkwein. “POD-Based Multiobjective Optimal Control of PDEs with Non-Smooth Objectives.” In PAMM, 51–54, 2018. https://doi.org/10.1002/pamm.201710015.","ieee":"D. Beermann, M. Dellnitz, S. Peitz, and S. Volkwein, “POD-based multiobjective optimal control of PDEs with non-smooth objectives,” in PAMM, 2018, pp. 51–54.","short":"D. Beermann, M. Dellnitz, S. Peitz, S. Volkwein, in: PAMM, 2018, pp. 51–54."},"type":"conference","page":"51-54","uri_base":"https://ris.uni-paderborn.de","abstract":[{"lang":"eng"}],"user_id":"47427","author":[{"last_name":"Beermann","first_name":"Dennis"},{"first_name":"Michael","last_name":"Dellnitz"},{"orcid":"https://orcid.org/0000-0002-3389-793X","first_name":"Sebastian","id":"47427","last_name":"Peitz"},{"last_name":"Volkwein","first_name":"Stefan"}],"publication":"PAMM","status":"public","date_created":"2019-03-29T13:34:25Z"}]