{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,12,19]],"date-time":"2022-12-19T09:29:41Z","timestamp":1671442181908},"reference-count":17,"publisher":"Springer Science and Business Media LLC","issue":"5","license":[{"start":{"date-parts":[[2012,10,1]],"date-time":"2012-10-01T00:00:00Z","timestamp":1349049600000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Comput. Visual Sci."],"published-print":{"date-parts":[[2012,10]]},"DOI":"10.1007\/s00791-013-0211-6","type":"journal-article","created":{"date-parts":[[2014,1,7]],"date-time":"2014-01-07T07:25:38Z","timestamp":1389079538000},"page":"227-245","source":"Crossref","is-referenced-by-count":1,"title":["Partial evaluation of the discrete solution of elliptic boundary value problems"],"prefix":"10.1007","volume":"15","author":[{"given":"Wolfgang","family":"Hackbusch","sequence":"first","affiliation":[]},{"given":"Florian","family":"Drechsler","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2014,1,8]]},"reference":[{"key":"211_CR1","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1007\/s00211-002-0445-6","volume":"95","author":"M Bebendorf","year":"2003","unstructured":"Bebendorf, M., Hackbusch, W.: Existence of $${\\cal H}$$ H -matrix approximants to the inverse FE-matrix of elliptic operators with $$L^{\\infty }$$ L \u221e -coefficients. Numer. Math. 95, 1\u201328 (2003)","journal-title":"Numer. Math."},{"key":"211_CR2","doi-asserted-by":"crossref","first-page":"405","DOI":"10.1016\/S0955-7997(02)00152-2","volume":"27","author":"S B\u00f6rm","year":"2003","unstructured":"B\u00f6rm, S., Grasedyck, L., Hackbusch, W.: Introduction to hierarchical matrices with applications. Eng. Anal. Bound. Elem. 27, 405\u2013422 (2003)","journal-title":"Eng. Anal. Bound. Elem."},{"key":"211_CR3","unstructured":"Drechsler, F.: \u00dcber die L\u00f6sung von elliptischen Randwertproblemen mittels Gebietszerlegungstechniken, Doctoral thesis. Universit\u00e4t Leipzig, Hierarchischer Matrizen und der Methode der finiten Elemente (2011)"},{"key":"211_CR4","doi-asserted-by":"crossref","first-page":"295","DOI":"10.1007\/s00607-003-0019-1","volume":"70","author":"L Grasedyck","year":"2003","unstructured":"Grasedyck, L., Hackbusch, W.: Construction and arithmetics of $${\\cal H} $$ H -matrices. Computing 70, 295\u2013334 (2003)","journal-title":"Computing"},{"key":"211_CR5","unstructured":"Grasedyck, L., Kriemann, R., Le Borne, S.: Domain decomposition based $${\\cal H}-LU$$ H - L U preconditioners. In: Widlund, O.B., Keyes, D.E. (eds.) Domain Decomposition Methods in Science and Engineering XVI. Lectures Notes in Computational Science and Engineering, vol. 55, pp. 661\u2013668. Springer, Berlin (2006)"},{"key":"211_CR6","doi-asserted-by":"crossref","first-page":"273","DOI":"10.1007\/s00791-008-0098-9","volume":"11","author":"L Grasedyck","year":"2008","unstructured":"Grasedyck, L., Kriemann, R.: Borne, Sabine: Parallel black box $${\\cal H}-LU$$ H - L U preconditioning for elliptic boundary value problems. Comput. Vis. Sci. 11, 273\u2013291 (2008)","journal-title":"Comput. Vis. Sci."},{"key":"211_CR7","unstructured":"Hackbusch, W.: Elliptic Differential Equations, 2nd edn. Theory and numerical treatment, Springer, Berlin: (Third Germany edition: Lecture Notes 28\/2005, 2005. Max-Planck-Institut f\u00fcr Mathematik, Leipzig (2003)"},{"key":"211_CR8","volume-title":"Multi-grid Methods and Applications","author":"W Hackbusch","year":"2003","unstructured":"Hackbusch, W.: Multi-grid Methods and Applications, 2nd edn. Springer, Berlin (2003)","edition":"2"},{"key":"211_CR9","unstructured":"Hackbusch, W.: Elliptic Differential Equations. Theory and Numerical Treatment, SCM., Vol. 18, 2nd edn. Springer, Berlin (2003)"},{"key":"211_CR10","doi-asserted-by":"crossref","first-page":"89","DOI":"10.1007\/s006070050015","volume":"62","author":"W Hackbusch","year":"1999","unstructured":"Hackbusch, W.: A sparse matrix arithmetic based on $${\\cal H}$$ H -matrices. Part I: introduction to $${\\cal H}$$ H -matrices. Computing 62, 89\u2013108 (1999)","journal-title":"Computing"},{"key":"211_CR11","unstructured":"Hackbusch, W.: Direct domain decomposition using the hierarchical matrix technique. In: Herrera, I., Keyes, D.E., Widlund, O.B., Yates, R. (eds.) Domain decomposition methods in science and engineering. Fourteenth international conference on domain decomposition methods, pp. 39\u201350. National Autonomous University of Mexico, Mexico, City (2003)"},{"key":"211_CR12","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-642-00222-9","volume-title":"Hierarchische Matrizen\u2014Algorithmen und Analysis","author":"W Hackbusch","year":"2009","unstructured":"Hackbusch, W.: Hierarchische Matrizen\u2014Algorithmen und Analysis. Spinger, Heidelberg (2009)"},{"key":"211_CR13","doi-asserted-by":"crossref","first-page":"179","DOI":"10.1007\/s00791-005-0008-3","volume":"8","author":"W Hackbusch","year":"2005","unstructured":"Hackbusch, W., Khoromskij, B.N., Kriemann, R.: Direct Schur complement method by domain decomposition based on $${\\cal H}$$ H -matrix approximation. Comput. Vis. Sci. 8, 179\u2013188 (2005)","journal-title":"Comput. Vis. Sci."},{"key":"211_CR14","doi-asserted-by":"crossref","first-page":"169","DOI":"10.1006\/jcph.1997.5682","volume":"134","author":"TY Hou","year":"1997","unstructured":"Hou, T.Y., Wu, X.-H.: A multiscale finite element method for elliptic problems in composite materials and porous media. J. Comput. Phys. 134, 169\u2013189 (1997)","journal-title":"J. Comput. Phys."},{"key":"211_CR15","doi-asserted-by":"crossref","first-page":"913","DOI":"10.1090\/S0025-5718-99-01077-7","volume":"68","author":"TY Hou","year":"1999","unstructured":"Hou, T.Y., Wu, X.-H., Cai, Z.: Convergence of a multiscale finite element method for elliptic problems with rapidly oscillating coefficients. Math. Comput. 68, 913\u2013943 (1999)","journal-title":"Math. Comput."},{"key":"211_CR16","unstructured":"Litvinenko, A.G.: Application of hierarchical matrices for solving multiscale problems, Doctoral thesis. Universit\u00e4t Leipzig (2007)"},{"key":"211_CR17","unstructured":"www.dealii.org A Finite Element Differential Equations Analysis Library"}],"container-title":["Computing and Visualization in Science"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00791-013-0211-6.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00791-013-0211-6\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00791-013-0211-6","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,29]],"date-time":"2019-05-29T06:46:11Z","timestamp":1559112371000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00791-013-0211-6"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012,10]]},"references-count":17,"journal-issue":{"issue":"5","published-print":{"date-parts":[[2012,10]]}},"alternative-id":["211"],"URL":"https:\/\/doi.org\/10.1007\/s00791-013-0211-6","relation":{},"ISSN":["1432-9360","1433-0369"],"issn-type":[{"value":"1432-9360","type":"print"},{"value":"1433-0369","type":"electronic"}],"subject":[],"published":{"date-parts":[[2012,10]]}}}