{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,5,9]],"date-time":"2025-05-09T15:59:23Z","timestamp":1746806363888,"version":"3.40.5"},"reference-count":14,"publisher":"Wiley","license":[{"start":{"date-parts":[[2014,1,1]],"date-time":"2014-01-01T00:00:00Z","timestamp":1388534400000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["11371199","11301275","12KJB110013","20123207120001","201306"],"award-info":[{"award-number":["11371199","11301275","12KJB110013","20123207120001","201306"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["11371199","11301275","12KJB110013","20123207120001","201306"],"award-info":[{"award-number":["11371199","11301275","12KJB110013","20123207120001","201306"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100010023","name":"Natural Science Research of Jiangsu Higher Education Institutions of China","doi-asserted-by":"crossref","award":["11371199","11301275","12KJB110013","20123207120001","201306"],"award-info":[{"award-number":["11371199","11301275","12KJB110013","20123207120001","201306"]}],"id":[{"id":"10.13039\/501100010023","id-type":"DOI","asserted-by":"crossref"}]},{"DOI":"10.13039\/501100002338","name":"Ministry of Education of the People\u2019s Republic of China","doi-asserted-by":"publisher","award":["11371199","11301275","12KJB110013","20123207120001","201306"],"award-info":[{"award-number":["11371199","11301275","12KJB110013","20123207120001","201306"]}],"id":[{"id":"10.13039\/501100002338","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Jiangsu Key Lab for NSLSCS","award":["11371199","11301275","12KJB110013","20123207120001","201306"],"award-info":[{"award-number":["11371199","11301275","12KJB110013","20123207120001","201306"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Journal of Applied Mathematics"],"published-print":{"date-parts":[[2014]]},"abstract":"<jats:p>We propose a BDDC preconditioner for the rotated<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M2\"><mml:mrow><mml:msub><mml:mrow><mml:mi>Q<\/mml:mi><\/mml:mrow><mml:mrow><mml:mn mathvariant=\"normal\">1<\/mml:mn><\/mml:mrow><\/mml:msub><\/mml:mrow><\/mml:math>finite element method for second order elliptic equations with piecewise but discontinuous coefficients. In the framework of the standard additive Schwarz methods, we describe this method by a complete variational form. We show that our method has a quasioptimal convergence behavior; that is, the condition number of the preconditioned problem is independent of the jumps of the coefficients and depends only logarithmically on the ratio between the subdomain size and the mesh size. Numerical experiments are presented to confirm our theoretical analysis.<\/jats:p>","DOI":"10.1155\/2014\/859424","type":"journal-article","created":{"date-parts":[[2014,1,19]],"date-time":"2014-01-19T09:26:14Z","timestamp":1390123574000},"page":"1-8","source":"Crossref","is-referenced-by-count":0,"title":["A BDDC Preconditioner for the Rotated<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M1\"><mml:mrow><mml:msub><mml:mrow><mml:mi>Q<\/mml:mi><\/mml:mrow><mml:mrow><mml:mn mathvariant=\"normal\">1<\/mml:mn><\/mml:mrow><\/mml:msub><\/mml:mrow><\/mml:math>FEM for Elliptic Problems with Discontinuous Coefficients"],"prefix":"10.1155","volume":"2014","author":[{"given":"Yaqin","family":"Jiang","sequence":"first","affiliation":[{"name":"School of Sciences, Nanjing University of Posts and Telecommunications, Nanjing 210046, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","reference":[{"key":"2","doi-asserted-by":"publisher","DOI":"10.1137\/S1064827502412887"},{"key":"7","doi-asserted-by":"publisher","DOI":"10.1002\/nla.341"},{"key":"6","doi-asserted-by":"publisher","DOI":"10.1002\/nme.1553"},{"key":"8","doi-asserted-by":"publisher","DOI":"10.1016\/j.apnum.2004.09.022"},{"key":"3","doi-asserted-by":"publisher","DOI":"10.1137\/060649677"},{"key":"4","doi-asserted-by":"publisher","DOI":"10.1137\/060663179"},{"key":"5","doi-asserted-by":"publisher","DOI":"10.1137\/080731876"},{"key":"10","doi-asserted-by":"publisher","DOI":"10.1137\/S0036142995291019"},{"key":"9","doi-asserted-by":"publisher","DOI":"10.1002\/num.1690080202"},{"key":"13","doi-asserted-by":"publisher","DOI":"10.1137\/1034116"},{"key":"14","doi-asserted-by":"publisher","DOI":"10.1137\/S0036144596306800"},{"issue":"3","key":"1","first-page":"313","volume":"20","year":"2002","journal-title":"Journal of Computational Mathematics"},{"volume":"34","year":"2005","key":"11"},{"key":"12","doi-asserted-by":"publisher","DOI":"10.1016\/j.apnum.2008.11.006"}],"container-title":["Journal of Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2014\/859424.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2014\/859424.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2014\/859424.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,5,11]],"date-time":"2020-05-11T18:42:14Z","timestamp":1589222534000},"score":1,"resource":{"primary":{"URL":"http:\/\/www.hindawi.com\/journals\/jam\/2014\/859424\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014]]},"references-count":14,"alternative-id":["859424","859424"],"URL":"https:\/\/doi.org\/10.1155\/2014\/859424","relation":{},"ISSN":["1110-757X","1687-0042"],"issn-type":[{"type":"print","value":"1110-757X"},{"type":"electronic","value":"1687-0042"}],"subject":[],"published":{"date-parts":[[2014]]}}}