{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,3,27]],"date-time":"2025-03-27T23:30:13Z","timestamp":1743118213983,"version":"3.40.3"},"publisher-location":"Cham","reference-count":14,"publisher":"Springer Nature Switzerland","isbn-type":[{"type":"print","value":"9783031562075"},{"type":"electronic","value":"9783031562082"}],"license":[{"start":{"date-parts":[[2024,1,1]],"date-time":"2024-01-01T00:00:00Z","timestamp":1704067200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2024,1,1]],"date-time":"2024-01-01T00:00:00Z","timestamp":1704067200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2024]]},"DOI":"10.1007\/978-3-031-56208-2_50","type":"book-chapter","created":{"date-parts":[[2024,5,23]],"date-time":"2024-05-23T17:01:50Z","timestamp":1716483710000},"page":"35-43","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Robust Iterative Solvers for Algebraic Systems Arising from Elliptic Optimal Control Problems"],"prefix":"10.1007","author":[{"given":"Ulrich","family":"Langer","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Richard","family":"L\u00f6scher","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Olaf","family":"Steinbach","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Huidong","family":"Yang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2024,5,24]]},"reference":[{"issue":"4","key":"50_CR1","doi-asserted-by":"publisher","first-page":"185","DOI":"10.1515\/jnma-2017-0047","volume":"26","author":"O Axelsson","year":"2018","unstructured":"Axelsson, O., Neytcheva, M., Str\u00f6m, A.: An efficient preconditioning method for state box-constrained optimal control problems. J. Numer. Math. 26(4), 185\u2013207 (2018)","journal-title":"J. Numer. Math."},{"key":"50_CR2","doi-asserted-by":"crossref","unstructured":"Bai, Z.Z., Pan, J.Y.: Matrix Analysis and Computations. SIAM (2021)","DOI":"10.1137\/1.9781611976632"},{"key":"50_CR3","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1017\/S0962492904000212","volume":"14","author":"M Benzi","year":"2005","unstructured":"Benzi, M., Golub, G., Liesen, J.: Numerical solution of saddle point problems. Acta Numer. 14, 1\u2013137 (2005)","journal-title":"Acta Numer."},{"issue":"181","key":"50_CR4","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1090\/S0025-5718-1988-0917816-8","volume":"50","author":"JH Bramble","year":"1988","unstructured":"Bramble, J.H., Pasciak, J.E.: A preconditioning technique for indefinite systems resulting from mixed approximations of elliptic problems. Math. Comp. 50(181), 1\u201317 (1988)","journal-title":"Math. Comp."},{"key":"50_CR5","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1016\/j.camwa.2024.02.006","volume":"160","author":"U Langer","year":"2024","unstructured":"Langer, U., L\u00f6scher, R., Steinbach, O., Yang, H.: An adaptive finite element method for distributed elliptic optimal control problems with variable energy regularization. Comput. Math. Appl. 160, 1\u201314 (2024)","journal-title":"Comput. Math. Appl."},{"issue":"4","key":"50_CR6","doi-asserted-by":"publisher","first-page":"989","DOI":"10.1515\/cmam-2022-0138","volume":"23","author":"U Langer","year":"2023","unstructured":"Langer, U., L\u00f6scher, R., Steinbach, O., Yang, H.: Robust finite element discretization and solvers for distributed elliptic optimal control problems. Comput. Methods Appl. Math. 23(4), 989\u20131005 (2023). https:\/\/doi.org\/10.1515\/cmam-2022-0138","journal-title":"Comput. Methods Appl. Math."},{"issue":"1","key":"50_CR7","doi-asserted-by":"publisher","first-page":"97","DOI":"10.1515\/cmam-2021-0169","volume":"22","author":"U Langer","year":"2022","unstructured":"Langer, U., Steinbach, O., Yang, H.: Robust discretization and solvers for elliptic optimal control problems with energy regularization. Comput. Meth. Appl. Math. 22(1), 97\u2013111 (2022)","journal-title":"Comput. Meth. Appl. Math."},{"key":"50_CR8","unstructured":"Lions, J.L.: Contr\u00f4le optimal de syst\u00e8mes gouvern\u00e9s par des \u00e9quations aux d\u00e9riv\u00e9es partielles. Dunod Gauthier-Villars, Paris (1968)"},{"issue":"1","key":"50_CR9","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1002\/nla.716","volume":"18","author":"KA Mardal","year":"2011","unstructured":"Mardal, K.A., Winther, R.: Preconditioning discretizations of systems of partial differential equations. Numer. Linear Algebra Appl. 18(1), 1\u201340 (2011)","journal-title":"Numer. Linear Algebra Appl."},{"key":"50_CR10","doi-asserted-by":"publisher","first-page":"4176","DOI":"10.1002\/mma.7021","volume":"44","author":"M Neum\u00fcller","year":"2021","unstructured":"Neum\u00fcller, M., Steinbach, O.: Regularization error estimates for distributed control problems in energy spaces. Math. Methods Appl. Sci. 44, 4176\u20134191 (2021)","journal-title":"Math. Methods Appl. Sci."},{"issue":"5","key":"50_CR11","first-page":"816","volume":"12","author":"J Pearson","year":"2012","unstructured":"Pearson, J., Wathen, A.: A new approximation of the Schur complement in preconditioners for PDE-constrained optimization. NLAA 12(5), 816\u2013829 (2012)","journal-title":"NLAA"},{"issue":"1","key":"50_CR12","doi-asserted-by":"publisher","first-page":"435","DOI":"10.1137\/120877532","volume":"24","author":"A Schiela","year":"2014","unstructured":"Schiela, A., Ulbrich, S.: Operator preconditioning for a class of inequality constrained optimal control problems. SIAM J. Optim. 24(1), 435\u2013466 (2014)","journal-title":"SIAM J. Optim."},{"issue":"238","key":"50_CR13","doi-asserted-by":"publisher","first-page":"479","DOI":"10.1090\/S0025-5718-01-01324-2","volume":"71","author":"W Zulehner","year":"2002","unstructured":"Zulehner, W.: Analysis of iterative methods for saddle point problems: a unified approach. Math. Comp. 71(238), 479\u2013505 (2002)","journal-title":"Math. Comp."},{"issue":"2","key":"50_CR14","doi-asserted-by":"publisher","first-page":"536","DOI":"10.1137\/100814767","volume":"32","author":"W Zulehner","year":"2011","unstructured":"Zulehner, W.: Nonstandard norms and robust estimates for saddle point problems. SIAM J. Matrix Anal. Appl. 32(2), 536\u2013560 (2011)","journal-title":"SIAM J. Matrix Anal. Appl."}],"container-title":["Lecture Notes in Computer Science","Large-Scale Scientific Computations"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-031-56208-2_50","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,5,23]],"date-time":"2024-05-23T17:04:02Z","timestamp":1716483842000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/978-3-031-56208-2_50"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024]]},"ISBN":["9783031562075","9783031562082"],"references-count":14,"URL":"https:\/\/doi.org\/10.1007\/978-3-031-56208-2_50","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2024]]},"assertion":[{"value":"24 May 2024","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}},{"value":"LSSC","order":1,"name":"conference_acronym","label":"Conference Acronym","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"International Conference on Large-Scale Scientific Computing","order":2,"name":"conference_name","label":"Conference Name","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Sozopol","order":3,"name":"conference_city","label":"Conference City","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Bulgaria","order":4,"name":"conference_country","label":"Conference Country","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"2023","order":5,"name":"conference_year","label":"Conference Year","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"5 June 2023","order":7,"name":"conference_start_date","label":"Conference Start Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"9 June 2023","order":8,"name":"conference_end_date","label":"Conference End Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"14","order":9,"name":"conference_number","label":"Conference Number","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"lssc2023","order":10,"name":"conference_id","label":"Conference ID","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"https:\/\/parallel.bas.bg\/Conferences\/SciCom23\/","order":11,"name":"conference_url","label":"Conference URL","group":{"name":"ConferenceInfo","label":"Conference Information"}}]}}