{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,1]],"date-time":"2022-04-01T21:47:30Z","timestamp":1648849650278},"reference-count":0,"publisher":"Walter de Gruyter GmbH","issue":"4","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Comput. Methods Appl. Math."],"published-print":{"date-parts":[[2012]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>This paper discusses the constructive and computational presentations of several non-local norms of discrete trace functions\n\t\t\tof <jats:italic>H\u00b9<\/jats:italic>(\u03a9) and <jats:italic>H\u00b2<\/jats:italic>(\u03a9) defined on the boundary or interface of an unstructured grid. We transform the nonlocal norms\n\t\t\tof trace functions to local norms of certain functions defined on the whole domain by constructing isomorphic extension operators.\n\t\t\tA unified approach is used to explore several typical examples. Additionally, we also discuss exactly invertible Poincar\u00e9\u2013Steklov\n\t\t\toperators and their discretization.<\/jats:p>","DOI":"10.2478\/cmam-2012-0025","type":"journal-article","created":{"date-parts":[[2013,2,13]],"date-time":"2013-02-13T12:23:49Z","timestamp":1360758229000},"page":"500-512","source":"Crossref","is-referenced-by-count":1,"title":["Norms of Discrete Trace Functions of (\u03a9) and (\u03a9)"],"prefix":"10.2478","volume":"12","author":[{"given":"Jinchao","family":"Xu","sequence":"first","affiliation":[{"name":"1Center for Computational Mathematics and Applications, Department of Mathematics, The Pennsylvania State University, University Park, Pennsylvania 16802, U.S.A."}]},{"given":"Shuo","family":"Zhang","sequence":"additional","affiliation":[{"name":"2LSEC, Institute of Computational Mathematics and Scientific\/Engineering Computing, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing 100190, People's Republic of China."}]}],"member":"374","container-title":["Computational Methods in Applied Mathematics"],"original-title":[],"link":[{"URL":"https:\/\/www.degruyter.com\/view\/journals\/cmam\/12\/4\/article-p500.xml","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.degruyter.com\/document\/doi\/10.2478\/cmam-2012-0025\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,4,22]],"date-time":"2021-04-22T14:22:30Z","timestamp":1619101350000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.degruyter.com\/view\/journals\/cmam\/12\/4\/article-p500.xml"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012]]},"references-count":0,"journal-issue":{"issue":"4"},"URL":"https:\/\/doi.org\/10.2478\/cmam-2012-0025","relation":{},"ISSN":["1609-4840","1609-9389"],"issn-type":[{"value":"1609-4840","type":"print"},{"value":"1609-9389","type":"electronic"}],"subject":[],"published":{"date-parts":[[2012]]}}}