{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,5]],"date-time":"2024-09-05T09:49:09Z","timestamp":1725529749337},"publisher-location":"Berlin, Heidelberg","reference-count":13,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783540788256"},{"type":"electronic","value":"9783540788270"}],"license":[{"start":{"date-parts":[[2008,1,1]],"date-time":"2008-01-01T00:00:00Z","timestamp":1199145600000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2008]]},"DOI":"10.1007\/978-3-540-78827-0_7","type":"book-chapter","created":{"date-parts":[[2009,3,25]],"date-time":"2009-03-25T01:25:05Z","timestamp":1237944305000},"page":"78-85","source":"Crossref","is-referenced-by-count":0,"title":["Application of Hierarchical Decomposition: Preconditioners and Error Estimates for Conforming and Nonconforming FEM"],"prefix":"10.1007","author":[{"given":"Radim","family":"Blaheta","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","reference":[{"key":"7_CR1","doi-asserted-by":"publisher","first-page":"57","DOI":"10.1023\/B:APOM.0000024520.06175.8b","volume":"49","author":"O. Axelsson","year":"2004","unstructured":"Axelsson, O., Blaheta, R.: Two simple derivations of universal bounds for the C.B.S. inequality constant. Applications of Mathematics\u00a049, 57\u201372 (2004)","journal-title":"Applications of Mathematics"},{"key":"7_CR2","doi-asserted-by":"publisher","first-page":"219","DOI":"10.1090\/S0025-5718-1983-0679442-3","volume":"40","author":"O. Axelsson","year":"1983","unstructured":"Axelsson, O., Gustafsson, I.: Preconditioning and two-level multigrid methods of arbitrary degree of approximations. Mathematics of Computation\u00a040, 219\u2013242 (1983)","journal-title":"Mathematics of Computation"},{"issue":"5","key":"7_CR3","doi-asserted-by":"publisher","first-page":"1807","DOI":"10.1137\/S1064827597320058","volume":"20","author":"O. Axelsson","year":"1999","unstructured":"Axelsson, O., Padiy, A.: On the additive version of the algebraic multilevel iteration method for anisotropic elliptic problems. SIAM Journal on Scientific Computing\u00a020(5), 1807\u20131830 (1999)","journal-title":"SIAM Journal on Scientific Computing"},{"key":"7_CR4","doi-asserted-by":"publisher","first-page":"157","DOI":"10.1007\/BF01409783","volume":"56","author":"O. Axelsson","year":"1989","unstructured":"Axelsson, O., Vassilevski, P.: Algebraic Multilevel Preconditioning Methods I. Numerische Mathematik\u00a056, 157\u2013177 (1989)","journal-title":"Numerische Mathematik"},{"key":"7_CR5","doi-asserted-by":"publisher","first-page":"1569","DOI":"10.1137\/0727092","volume":"27","author":"O. Axelsson","year":"1990","unstructured":"Axelsson, O., Vassilevski, P.: Algebraic Multilevel Preconditioning Methods II. SIAM Journal on Numerical Analysis\u00a027, 1569\u20131590 (1990)","journal-title":"SIAM Journal on Numerical Analysis"},{"key":"7_CR6","doi-asserted-by":"publisher","first-page":"625","DOI":"10.1137\/0612048","volume":"12","author":"O. Axelsson","year":"1991","unstructured":"Axelsson, O., Vassilevski, P.: A black box generalized conjugate gradient solver with inner iterations and variable-step preconditioning. SIAM Journal on Matrix Analysis and Applications\u00a012, 625\u2013644 (1991)","journal-title":"SIAM Journal on Matrix Analysis and Applications"},{"key":"7_CR7","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1017\/S0962492900002610","volume":"5","author":"R. Bank","year":"1996","unstructured":"Bank, R.: Hierarchical bases and the finite element method. Acta Numerica\u00a05, 1\u201343 (1996)","journal-title":"Acta Numerica"},{"key":"7_CR8","doi-asserted-by":"publisher","first-page":"309","DOI":"10.1002\/nla.350","volume":"11","author":"R. Blaheta","year":"2004","unstructured":"Blaheta, R., Margenov, S., Neytcheva, M.: Uniform estimate of the constant in the strengthened CBS inequality for anisotropic non-conforming FEM systems. Numerical Linear Algebra with Applications\u00a011, 309\u2013326 (2004)","journal-title":"Numerical Linear Algebra with Applications"},{"key":"7_CR9","doi-asserted-by":"publisher","first-page":"495","DOI":"10.1002\/nla.438","volume":"12","author":"R. Blaheta","year":"2005","unstructured":"Blaheta, R., Margenov, S., Neytcheva, M.: Robust optimal multilevel preconditioners for nonconforming FEM systems. Numerical Linear Algebra with Applications\u00a012, 495\u2013514 (2005)","journal-title":"Numerical Linear Algebra with Applications"},{"key":"7_CR10","first-page":"73","volume-title":"Encyclopedia of Computational Mechanics","author":"S. Brenner","year":"2004","unstructured":"Brenner, S., Carstensen, C.: Finite element methods. In: Stein, E., de Borst, R., Hughes, T.J.R. (eds.) Encyclopedia of Computational Mechanics, pp. 73\u2013118. J. Wiley, Chichester (2004)"},{"key":"7_CR11","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4757-3658-8","volume-title":"The Mathematical Theory of Finite Element Methods","author":"S. Brenner","year":"2002","unstructured":"Brenner, S., Scott, L.: The Mathematical Theory of Finite Element Methods. Springer, Heidelberg (2002)"},{"key":"7_CR12","doi-asserted-by":"crossref","unstructured":"Kraus, J., Margenov, S., Synka, J.: On the multilevel preconditioning of Crouzeix-Raviart elliptic problems. Numerical Linear Algebra with Applications (to appear)","DOI":"10.1002\/nla.543"},{"key":"7_CR13","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"91","DOI":"10.1007\/978-3-540-70942-8_10","volume-title":"Numerical Methods and Applications","author":"S. Margenov","year":"2007","unstructured":"Margenov, S., Synka, J.: Generalized aggregation-based multilevel preconditioning of Crouzeix-Raviart FE elliptic problems. In: Boyanov, T., et al. (eds.) NMA 2006. LNCS, vol.\u00a04310, pp. 91\u201399. Springer, Heidelberg (2007)"}],"container-title":["Lecture Notes in Computer Science","Large-Scale Scientific Computing"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-540-78827-0_7","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,3,7]],"date-time":"2019-03-07T01:24:42Z","timestamp":1551921882000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-540-78827-0_7"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2008]]},"ISBN":["9783540788256","9783540788270"],"references-count":13,"URL":"https:\/\/doi.org\/10.1007\/978-3-540-78827-0_7","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2008]]}}}