{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,10,28]],"date-time":"2023-10-28T16:09:28Z","timestamp":1698509368177},"reference-count":0,"publisher":"Walter de Gruyter GmbH","issue":"2","funder":[{"name":"IT4Innovations Center of Excellence project supported by Operational Programme `Research and Development for Innovations' funded by the Structural Funds of the European Union","award":["CZ.1.05\/1.1.00\/02.0070"]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2015,4,1]]},"abstract":"Abstract<\/jats:title>\n Variationally consistent approximation\nof the non-penetration conditions and friction laws was introduced by Wohlmuth [Acta Numer. 20 (2011) 569\u2013734] as a powerful tool\nfor the effective discretization of contact problems. This approach is especially useful when the potential contact interface is large and curved or when non-matching\ngrids are applied. The point of this note is to give bounds on the singular values of the constraint matrices arising from the variationally consistent approximation\nand to indicate their application in the analysis of the scalable duality based domain decomposition algorithms for the solution of multi-body contact problems\n[Comput. Methods Appl. Mech. Eng. 247\u2013248 (2012), 37\u201350.].\nThe theoretical results are illustrated by numerical experiments.<\/jats:p>","DOI":"10.1515\/cmam-2014-0031","type":"journal-article","created":{"date-parts":[[2015,4,21]],"date-time":"2015-04-21T12:42:26Z","timestamp":1429620146000},"page":"221-231","source":"Crossref","is-referenced-by-count":3,"title":["On Conditioning of Constraints Arising from Variationally Consistent Discretization of Contact Problems and Duality Based Solvers"],"prefix":"10.1515","volume":"15","author":[{"given":"Old\u0159ich","family":"Vlach","sequence":"first","affiliation":[{"name":"V\u0160B-Technical University Ostrava, T\u0159 17 listopadu, 70833 Ostrava, Czech Republic"}]},{"given":"Zden\u011bk","family":"Dost\u00e1l","sequence":"additional","affiliation":[{"name":"V\u0160B-Technical University Ostrava, T\u0159 17 listopadu, 70833 Ostrava, Czech Republic"}]},{"given":"Tom\u00e1\u0161","family":"Kozubek","sequence":"additional","affiliation":[{"name":"V\u0160B-Technical University Ostrava, T\u0159 17 listopadu, 70833 Ostrava, Czech Republic"}]}],"member":"374","published-online":{"date-parts":[[2015,1,10]]},"container-title":["Computational Methods in Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.degruyter.com\/view\/journals\/cmam\/15\/2\/article-p221.xml","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.degruyter.com\/document\/doi\/10.1515\/cmam-2014-0031\/xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.degruyter.com\/document\/doi\/10.1515\/cmam-2014-0031\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,3,31]],"date-time":"2023-03-31T22:39:46Z","timestamp":1680302386000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.degruyter.com\/document\/doi\/10.1515\/cmam-2014-0031\/html"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,1,10]]},"references-count":0,"journal-issue":{"issue":"2","published-online":{"date-parts":[[2015,3,10]]},"published-print":{"date-parts":[[2015,4,1]]}},"alternative-id":["10.1515\/cmam-2014-0031"],"URL":"https:\/\/doi.org\/10.1515\/cmam-2014-0031","relation":{},"ISSN":["1609-4840","1609-9389"],"issn-type":[{"value":"1609-4840","type":"print"},{"value":"1609-9389","type":"electronic"}],"subject":[],"published":{"date-parts":[[2015,1,10]]}}}