{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,5,6]],"date-time":"2024-05-06T09:16:13Z","timestamp":1714986973506},"reference-count":25,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2013,8,31]],"date-time":"2013-08-31T00:00:00Z","timestamp":1377907200000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J Supercomput"],"published-print":{"date-parts":[[2014,2]]},"DOI":"10.1007\/s11227-013-1006-8","type":"journal-article","created":{"date-parts":[[2013,8,30]],"date-time":"2013-08-30T15:04:23Z","timestamp":1377875063000},"page":"384-407","source":"Crossref","is-referenced-by-count":5,"title":["Parallel multigrid algorithms based on generic approximate sparse inverses: an SMP approach"],"prefix":"10.1007","volume":"67","author":[{"given":"Christos K.","family":"Filelis-Papadopoulos","sequence":"first","affiliation":[]},{"given":"George A.","family":"Gravvanis","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2013,8,31]]},"reference":[{"key":"1006_CR1","doi-asserted-by":"crossref","first-page":"617","DOI":"10.1137\/0722038","volume":"22","author":"RE Bank","year":"1985","unstructured":"Bank RE, Douglas CC (1985) Sharp estimates for multigrid rates of convergence with general smoothing and acceleration. SIAM J Numer Anal 22:617\u2013633","journal-title":"SIAM J Numer Anal"},{"key":"1006_CR2","volume-title":"A\u00a0multigrid tutorial","author":"LW Briggs","year":"2000","unstructured":"Briggs LW, Henson VE, McCormick FS (2000) A\u00a0multigrid tutorial. SIAM, Philadelphia"},{"issue":"4","key":"1006_CR3","doi-asserted-by":"crossref","first-page":"1396","DOI":"10.1137\/S1064827500380623","volume":"23","author":"O Br\u00f6ker","year":"2001","unstructured":"Br\u00f6ker O, Grote MJ, Mayer C, Reusken A (2001) Robust parallel smoothing for multigrid via sparse approximate inverses. SIAM J Sci Comput 23(4):1396\u20131417","journal-title":"SIAM J Sci Comput"},{"key":"1006_CR4","volume-title":"Programming with POSIX\u00ae threads","author":"DR Butenhof","year":"1997","unstructured":"Butenhof DR (1997) Programming with POSIX\u00ae threads. Addison-Wesley, Reading"},{"key":"1006_CR5","doi-asserted-by":"crossref","first-page":"1804","DOI":"10.1137\/S106482759833913X","volume":"21","author":"E Chow","year":"2000","unstructured":"Chow E (2000) A\u00a0priori sparsity patterns for parallel sparse approximate inverse preconditioners. SIAM J Sci Comput 21:1804\u20131822","journal-title":"SIAM J Sci Comput"},{"key":"1006_CR6","doi-asserted-by":"crossref","first-page":"56","DOI":"10.1177\/109434200101500106","volume":"15","author":"E Chow","year":"2001","unstructured":"Chow E (2001) Parallel implementation and practical use of sparse approximate inverses with a priori sparsity patterns. Int J High Perform Comput Appl 15:56\u201374","journal-title":"Int J High Perform Comput Appl"},{"issue":"3","key":"1006_CR7","first-page":"233","volume":"90","author":"CK Filelis-Papadopoulos","year":"2013","unstructured":"Filelis-Papadopoulos CK, Gravvanis GA (2013) On the multigrid method based on finite difference approximate inverses. Comput Model Eng Sci 90(3):233\u2013253","journal-title":"Comput Model Eng Sci"},{"key":"1006_CR8","doi-asserted-by":"crossref","unstructured":"Filelis-Papadopoulos CK, Gravvanis GA (2013) Generic approximate sparse inverse matrix techniques. Int J Comput Methods (to appear)","DOI":"10.1142\/S0219876213500849"},{"key":"1006_CR9","doi-asserted-by":"crossref","first-page":"293","DOI":"10.1016\/j.amc.2007.12.023","volume":"201","author":"KM Giannoutakis","year":"2008","unstructured":"Giannoutakis KM, Gravvanis GA (2008) High performance finite element approximate inverse preconditioning. Appl Math Comput 201:293\u2013304","journal-title":"Appl Math Comput"},{"issue":"1","key":"1006_CR10","doi-asserted-by":"crossref","first-page":"77","DOI":"10.1007\/s11831-008-9026-x","volume":"16","author":"GA Gravvanis","year":"2009","unstructured":"Gravvanis GA (2009) High performance inverse preconditioning. Arch Comput Methods Eng 16(1):77\u2013108","journal-title":"Arch Comput Methods Eng"},{"key":"1006_CR11","doi-asserted-by":"crossref","first-page":"77","DOI":"10.1080\/00207169608804476","volume":"60","author":"GA Gravvanis","year":"1996","unstructured":"Gravvanis GA (1996) The rate of convergence of explicit approximate inverse preconditioning. Int J Comput Math 60:77\u201389","journal-title":"Int J Comput Math"},{"key":"1006_CR12","unstructured":"Gravvanis GA, Filelis-Papadopoulos CK, Matskanidis PI (2012) Algebraic multigrid methods based on generic approximate inverse matrix techniques. TR\/ECE\/ASC-AMA\/2012\/13"},{"key":"1006_CR13","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-662-02427-0","volume-title":"Multigrid methods and applications","author":"W Hackbusch","year":"1985","unstructured":"Hackbusch W (1985) Multigrid methods and applications. Springer, Berlin"},{"key":"1006_CR14","volume-title":"Iterative solution of large sparse systems of equations","author":"W Hackbusch","year":"1985","unstructured":"Hackbusch W (1985) Iterative solution of large sparse systems of equations. Springer, Berlin"},{"key":"1006_CR15","doi-asserted-by":"crossref","first-page":"243","DOI":"10.1007\/978-3-540-92779-2_36","volume-title":"Computational fluid dynamics 2006, part\u00a03","author":"R Haelterman","year":"2009","unstructured":"Haelterman R, Viederndeels J, van Heule D (2009) Non-stationary two-stage relaxation based on the principle of aggregation multi-grid. In: Computational fluid dynamics 2006, part\u00a03. Springer, Berlin, pp 243\u2013248"},{"key":"1006_CR16","doi-asserted-by":"crossref","first-page":"223","DOI":"10.1109\/PCi.2012.13","volume-title":"16th panhellenic conference on informatics (PCI) 2012","author":"A Karamouta","year":"2012","unstructured":"Karamouta A, Filelis-Papadopoulos CK, Gravvanis GA, Chryssomallis MT (2012) On the numerical solution of a time harmonic 3D wave equation by explicit approximate inverse preconditioning. In: 16th panhellenic conference on informatics (PCI) 2012, vol\u00a05\u20137, pp\u00a0223\u2013227"},{"key":"1006_CR17","unstructured":"Kyziropoulos PE, Filelis-Papadopoulos CK, Gravvanis GA (2013) N-Body simulation based on the particle mesh method using multigrid schemes. Comput Asp Numer Algorithms (CANA 2013), pp\u00a0471\u2013478"},{"key":"1006_CR18","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/0378-4754(87)90062-0","volume":"29","author":"EA Lipitakis","year":"1987","unstructured":"Lipitakis EA, Evans DJ (1987) Explicit semi-direct methods based on approximate inverse matrix techniques for solving boundary-value problems on parallel processors. Math Comput Simul 29:1\u201317","journal-title":"Math Comput Simul"},{"issue":"2","key":"1006_CR19","doi-asserted-by":"crossref","first-page":"167","DOI":"10.1007\/BF02238130","volume":"54","author":"EA Lipitakis","year":"1995","unstructured":"Lipitakis EA, Gravvanis GA (1995) Explicit preconditioned iterative methods for solving large unsymmetric finite element systems. Computing 54(2):167\u2013183","journal-title":"Computing"},{"key":"1006_CR20","volume-title":"Iterative methods for sparse linear systems","author":"Y Saad","year":"1996","unstructured":"Saad Y (1996) Iterative methods for sparse linear systems. PWS, Boston"},{"key":"1006_CR21","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/S0377-0427(00)00412-X","volume":"123","author":"Y Saad","year":"2000","unstructured":"Saad Y, van der Vorst HA (2000) Iterative solution of linear systems in the 20th century. J Comput Appl Math 123:1\u201333","journal-title":"J Comput Appl Math"},{"issue":"2","key":"1006_CR22","doi-asserted-by":"crossref","first-page":"154","DOI":"10.1108\/02644400610644522","volume":"23","author":"IM Smith","year":"2006","unstructured":"Smith IM, Margets L (2006) The convergence variability of parallel iterative solvers. Eng Comput 23(2):154\u2013165","journal-title":"Eng Comput"},{"key":"1006_CR23","volume-title":"Multigrid","author":"U Trottenberg","year":"2000","unstructured":"Trottenberg U, Osterlee CW, Schuller A (2000) Multigrid. Academic Press, San Diego"},{"issue":"2","key":"1006_CR24","doi-asserted-by":"crossref","first-page":"631","DOI":"10.1137\/0913035","volume":"13","author":"HA Vorst Van der","year":"1992","unstructured":"Van der Vorst HA (1992) Bi-CGSTAB: a fast and smoothly converging variant of Bi-CG for the solution of nonsymmetric linear systems. SIAM J Sci Stat Comput 13(2):631\u2013644","journal-title":"SIAM J Sci Stat Comput"},{"issue":"1","key":"1006_CR25","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1007\/BF03011376","volume":"4","author":"JH Yun","year":"1997","unstructured":"Yun JH, Kim SW (1997) Parallel implementation of hybrid iterative methods for nonsymmetric linear systems. Korean J Comp Appl Math 4(1):1\u201316","journal-title":"Korean J Comp Appl Math"}],"container-title":["The Journal of Supercomputing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11227-013-1006-8.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s11227-013-1006-8\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11227-013-1006-8","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,8,2]],"date-time":"2020-08-02T22:31:21Z","timestamp":1596407481000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s11227-013-1006-8"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013,8,31]]},"references-count":25,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2014,2]]}},"alternative-id":["1006"],"URL":"https:\/\/doi.org\/10.1007\/s11227-013-1006-8","relation":{},"ISSN":["0920-8542","1573-0484"],"issn-type":[{"value":"0920-8542","type":"print"},{"value":"1573-0484","type":"electronic"}],"subject":[],"published":{"date-parts":[[2013,8,31]]}}}