{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,3,25]],"date-time":"2025-03-25T14:50:49Z","timestamp":1742914249374,"version":"3.40.3"},"publisher-location":"Cham","reference-count":15,"publisher":"Springer International Publishing","isbn-type":[{"type":"print","value":"9783319321486"},{"type":"electronic","value":"9783319321493"}],"license":[{"start":{"date-parts":[[2016,1,1]],"date-time":"2016-01-01T00:00:00Z","timestamp":1451606400000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2016]]},"DOI":"10.1007\/978-3-319-32149-3_15","type":"book-chapter","created":{"date-parts":[[2016,4,1]],"date-time":"2016-04-01T02:24:42Z","timestamp":1459477482000},"page":"150-159","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Parallel Implementation of the FETI DDM Constraint Matrix on Top of PETSc for the PermonFLLOP Package"],"prefix":"10.1007","author":[{"given":"Alena","family":"Vasatova","sequence":"first","affiliation":[]},{"given":"Martin","family":"Cermak","sequence":"additional","affiliation":[]},{"given":"Vaclav","family":"Hapla","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2016,4,2]]},"reference":[{"key":"15_CR1","doi-asserted-by":"crossref","unstructured":"Balay, S., Gropp, W.D., McInnes, L.C., Smith, B.F.: Efficient management of parallelism in object oriented numerical software libraries. In: Arge, E., Bruaset, A.M., Langtangen, H.P. (eds.) Modern Software Tools in Scientific Computing, pp. 163\u2013202. Birkh\u00e4user Press (1997)","DOI":"10.1007\/978-1-4612-1986-6_8"},{"issue":"12","key":"15_CR2","doi-asserted-by":"publisher","first-page":"1155","DOI":"10.1002\/cnm.881","volume":"22","author":"Z Dost\u00e1l","year":"2006","unstructured":"Dost\u00e1l, Z., Hor\u00e1k, D., Ku\u010dera, R.: Total FETI - an easier implementable variant of the FETI method for numerical solution of elliptic PDE. Commun. Numer. Methods Eng. 22(12), 1155\u20131162 (2006)","journal-title":"Commun. Numer. Methods Eng."},{"issue":"13","key":"15_CR3","doi-asserted-by":"crossref","first-page":"6067","DOI":"10.1016\/j.amc.2010.12.069","volume":"217","author":"Z Dost\u00e1l","year":"2011","unstructured":"Dost\u00e1l, Z., Kozubek, T., Markopoulos, A., Men\u0161\u00edk, M.: Cholesky decomposition of a positive semidefinite matrix with known kernel. Appl. Math. Comput. 217(13), 6067\u20136077 (2011)","journal-title":"Appl. Math. Comput."},{"key":"15_CR4","doi-asserted-by":"publisher","first-page":"365","DOI":"10.1016\/0045-7825(94)90068-X","volume":"115","author":"C Farhat","year":"1994","unstructured":"Farhat, C., Mandel, J., Roux, F.X.: Optimal convergence properties of the FETI domain decomposition method. Comput. Methods Appl. Mech. Eng. 115, 365\u2013385 (1994)","journal-title":"Comput. Methods Appl. Mech. Eng."},{"issue":"6","key":"15_CR5","doi-asserted-by":"publisher","first-page":"1205","DOI":"10.1002\/nme.1620320604","volume":"32","author":"C Farhat","year":"1991","unstructured":"Farhat, C., Roux, F.X.: A method of finite element tearing and interconnecting and its parallel solution algorithm. Int. J. Numer. Methods Eng. 32(6), 1205\u20131227 (1991)","journal-title":"Int. J. Numer. Methods Eng."},{"key":"15_CR6","doi-asserted-by":"publisher","first-page":"379","DOI":"10.1137\/0913020","volume":"13","author":"C Farhat","year":"1992","unstructured":"Farhat, C., Roux, F.X.: An unconventional domain decomposition method for an efficient parallel solution of large-scale finite element systems. SIAM J. Sci. Stat. Comput. 13, 379\u2013396 (1992)","journal-title":"SIAM J. Sci. Stat. Comput."},{"issue":"4","key":"15_CR7","doi-asserted-by":"publisher","first-page":"515","DOI":"10.1007\/BF02905857","volume":"13","author":"P Gosselet","year":"2006","unstructured":"Gosselet, P., Rey, C.: Non-overlapping domain decomposition methods in structural mechanics. Arch. Comput. Methods Eng. 13(4), 515\u2013572 (2006)","journal-title":"Arch. Comput. Methods Eng."},{"key":"15_CR8","doi-asserted-by":"crossref","unstructured":"Hapla, V., Cermak, M., Markopoulos, A., Horak, D.: FLLOP: a massively parallel solver combining FETI domain decomposition method and quadratic programming. In: 2014 IEEE International Conference on High Performance Computing and Communications (HPCC 2014), pp. 320\u2013327 (2014)","DOI":"10.1109\/HPCC.2014.56"},{"key":"15_CR9","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"152","DOI":"10.1007\/978-3-642-31464-3_16","volume-title":"Parallel Processing and Applied Mathematics","author":"V Hapla","year":"2012","unstructured":"Hapla, V., Horak, D.: TFETI coarse space projectors parallelization strategies. In: Wyrzykowski, R., Dongarra, J., Karczewski, K., Wa\u015bniewski, J. (eds.) PPAM 2011, Part I. LNCS, vol. 7203, pp. 152\u2013162. Springer, Heidelberg (2012)"},{"key":"15_CR10","unstructured":"Hapla, V., et al.: PERMON (Parallel, Efficient, Robust, Modular, Object-oriented, Numerical) web pages (2015). http:\/\/industry.it4i.cz\/en\/products\/permon\/"},{"key":"15_CR11","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"192","DOI":"10.1007\/978-3-642-36803-5_14","volume-title":"Applied Parallel and Scientific Computing","author":"V Hapla","year":"2013","unstructured":"Hapla, V., Hor\u00e1k, D., Merta, M.: Use of direct solvers in TFETI massively parallel implementation. In: Manninen, P., \u00d6ster, P. (eds.) PARA. LNCS, vol. 7782, pp. 192\u2013205. Springer, Heidelberg (2013)"},{"issue":"1","key":"15_CR12","doi-asserted-by":"publisher","first-page":"57","DOI":"10.1002\/1097-0312(200101)54:1<57::AID-CPA3>3.0.CO;2-D","volume":"54","author":"A Klawonn","year":"2001","unstructured":"Klawonn, A., Widlund, O.B.: FETI and Neumann-Neumann iterative substructuring methods: connections and new results. Commun. Pure Appl. Math. 54(1), 57\u201390 (2001)","journal-title":"Commun. Pure Appl. Math."},{"key":"15_CR13","series-title":"Lecture Notes in Computational Science and Engineering","doi-asserted-by":"publisher","first-page":"917","DOI":"10.1007\/978-3-319-05789-7_89","volume-title":"Domain Decomposition Methods in Science and Engineering XXI","author":"M Merta","year":"2014","unstructured":"Merta, M., Va\u0161atov\u00e1, A., Hapla, V., Hor\u00e1k, D.: Parallel implementation of Total-FETI DDM with application to medical image registration. In: Erhel, J., Gander, M.J., Halpern, L., Pichot, G., Sassi, T., Widlund, O. (eds.) Domain Decomposition Methods in Science and Engineering XXI. Lecture Notes in Computational Science and Engineering, vol. 98, pp. 917\u2013925. Springer, Switzerland (2014)"},{"key":"15_CR14","unstructured":"Smith, B.F., et al.: PETSc users manual. Technical report. ANL-95\/11 - Revision 3.5, Argonne National Laboratory (2014). http:\/\/www.mcs.anl.gov\/petsc"},{"key":"15_CR15","doi-asserted-by":"publisher","first-page":"48","DOI":"10.1016\/j.advengsoft.2014.12.011","volume":"84","author":"M \u010cerm\u00e1k","year":"2015","unstructured":"\u010cerm\u00e1k, M., Hapla, V., Hor\u00e1k, D., Merta, M., Markopoulos, A.: Total-FETI domain decomposition method for solution of elasto-plastic problems. Adv. Eng. Softw. 84, 48\u201354 (2015)","journal-title":"Adv. Eng. Softw."}],"container-title":["Lecture Notes in Computer Science","Parallel Processing and Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-319-32149-3_15","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,6,15]],"date-time":"2024-06-15T11:52:41Z","timestamp":1718452361000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-319-32149-3_15"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016]]},"ISBN":["9783319321486","9783319321493"],"references-count":15,"URL":"https:\/\/doi.org\/10.1007\/978-3-319-32149-3_15","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2016]]},"assertion":[{"value":"2 April 2016","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}}]}}