{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,9]],"date-time":"2024-09-09T19:47:03Z","timestamp":1725911223412},"publisher-location":"Cham","reference-count":30,"publisher":"Springer International Publishing","isbn-type":[{"type":"print","value":"9783319677910"},{"type":"electronic","value":"9783319677927"}],"license":[{"start":{"date-parts":[[2017,9,20]],"date-time":"2017-09-20T00:00:00Z","timestamp":1505865600000},"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":[[2018]]},"DOI":"10.1007\/978-3-319-67792-7_28","type":"book-chapter","created":{"date-parts":[[2017,9,19]],"date-time":"2017-09-19T03:25:03Z","timestamp":1505791503000},"page":"282-291","source":"Crossref","is-referenced-by-count":1,"title":["Automatic Algorithms for the Construction of Element Partition Trees for Isogeometric Finite Element Method"],"prefix":"10.1007","author":[{"given":"Bartosz","family":"Janota","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Anna","family":"Paszy\u0144ska","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2017,9,20]]},"reference":[{"issue":"2","key":"28_CR1","doi-asserted-by":"crossref","first-page":"351","DOI":"10.1515\/amcs-2017-0025","volume":"27","author":"H Aboueisha","year":"2017","unstructured":"Aboueisha, H., Calo, V.M., Jopek, K., Moshkov, M., Paszy\u0144ka, A., Paszy\u0144ski, M., Skotniczny, M.: Element partition trees for $$h$$ -refined meshes to optimize direct solver performance. Part I. Dynamic Programming. Int. J. Appl. Math. Comput. Sci. 27(2), 351\u2013365 (2017)","journal-title":"Int. J. Appl. Math. Comput. Sci."},{"issue":"2","key":"28_CR2","doi-asserted-by":"crossref","first-page":"136","DOI":"10.1016\/j.parco.2005.07.004","volume":"32","author":"P Amestoy","year":"2006","unstructured":"Amestoy, P., Guermouche, A., L\u2019Excellent, J.Y., Pralet, S.: Hybrid scheduling for the parallel solution of linear systems. Parallel Comput. 32(2), 136\u2013156 (2006)","journal-title":"Parallel Comput."},{"key":"28_CR3","doi-asserted-by":"crossref","first-page":"501","DOI":"10.1016\/S0045-7825(99)00242-X","volume":"184","author":"P Amestoy","year":"1998","unstructured":"Amestoy, P., Duff, I., L\u2019Excellent, J.Y.: Multifrontal parallel distributed symmetric and unsymmetric solvers. Comput. Methods Appl. Mech. Eng. 184, 501\u2013520 (1998)","journal-title":"Comput. Methods Appl. Mech. Eng."},{"issue":"1","key":"28_CR4","doi-asserted-by":"crossref","first-page":"15","DOI":"10.1137\/S0895479899358194","volume":"23","author":"P Amestoy","year":"2001","unstructured":"Amestoy, P., Duff, I., L\u2019Excellent, J.Y., Koster, J.: A fully asynchronous multifrontal solver using distributed dynamic scheduling. SIAM J. Matrix Anal. Appl. 23(1), 15\u201341 (2001)","journal-title":"SIAM J. Matrix Anal. Appl."},{"issue":"1","key":"28_CR5","doi-asserted-by":"crossref","first-page":"173","DOI":"10.1016\/j.cma.2007.07.016","volume":"197","author":"Y Bazilevs","year":"2007","unstructured":"Bazilevs, Y., Calo, V., Cottrell, J., Hughes, T., Reali, A., Scovazzi, G.: Variational multiscale residual-based turbulence modeling for large eddy simulation of incompressible flows. Comput. Methods Appl. Mech. Eng. 197(1), 173\u2013201 (2007)","journal-title":"Comput. Methods Appl. Mech. Eng."},{"issue":"4\u20135","key":"28_CR6","doi-asserted-by":"crossref","first-page":"310","DOI":"10.1007\/s00466-006-0084-3","volume":"38","author":"Y Bazilevs","year":"2006","unstructured":"Bazilevs, Y., Calo, V.M., Zhang, Y., Hughes, T.J.R.: Isogeometric fluid\u2013structure interaction analysis with applications to arterial blood flow. Comput. Mech. 38(4\u20135), 310\u2013322 (2006)","journal-title":"Comput. Mech."},{"issue":"13","key":"28_CR7","doi-asserted-by":"crossref","first-page":"1367","DOI":"10.1016\/j.cma.2010.12.003","volume":"200","author":"D Benson","year":"2011","unstructured":"Benson, D., Bazilevs, Y., Hsu, M.C., Hughes, T.: A large deformation, rotation-free, isogeometric shell. Comput. Methods Appl. Mech. Eng. 200(13), 1367\u20131378 (2011)","journal-title":"Comput. Methods Appl. Mech. Eng."},{"issue":"1","key":"28_CR8","doi-asserted-by":"crossref","first-page":"161","DOI":"10.1007\/s00466-008-0321-z","volume":"43","author":"VM Calo","year":"2008","unstructured":"Calo, V.M., Brasher, N.F., Bazilevs, Y., Hughes, T.J.R.: Multiphysics model for blood flow and drug transport with application to patient-specific coronary artery flow. Comput. Mech. 43(1), 161\u2013177 (2008)","journal-title":"Comput. Mech."},{"key":"28_CR9","doi-asserted-by":"crossref","first-page":"94","DOI":"10.1016\/j.compfluid.2012.06.009","volume":"68","author":"K Chang","year":"2012","unstructured":"Chang, K., Hughes, T., Calo, V.: Isogeometric variational multiscale large-eddy simulation of fully-developed turbulent flow over a wavy wall. Comput. Fluids 68, 94\u2013104 (2012)","journal-title":"Comput. Fluids"},{"key":"28_CR10","doi-asserted-by":"crossref","DOI":"10.1002\/9780470749081","volume-title":"Isogeometric Analysis: Toward Unification of CAD and FEA","author":"JA Cottrell","year":"2009","unstructured":"Cottrell, J.A., Hughes, T.J.R., Bazilevs, Y.: Isogeometric Analysis: Toward Unification of CAD and FEA. Wiley, Chichester (2009)"},{"key":"28_CR11","doi-asserted-by":"crossref","unstructured":"Ded\u00e8, L., Borden, M.J., Hughes, T.: Isogeometric analysis for topology optimization with a phase field model. Technical report, The Institute for Computational Engineering and Sciences (2011)","DOI":"10.21236\/ADA555345"},{"key":"28_CR12","unstructured":"Ded\u00e8, L., Hughes, T., Lipton, S., Calo, V.: Structural topology optimization with isogeometric analysis in a phase field approach. In: USNCTAM 2010, State College, PA, USA (2010)"},{"key":"28_CR13","doi-asserted-by":"crossref","unstructured":"Demkowicz, L.: Computing with $$hp$$ -Adaptive Finite Elements, vol. I. One and Two Dimensional Elliptic and Maxwell Problems. Chapman and Hall\/CRC, Boca Raton (2006)","DOI":"10.1201\/9781420011685"},{"key":"28_CR14","doi-asserted-by":"crossref","unstructured":"Demkowicz, L., Kurtz, J., Pardo, D., Paszy\u0144ski, M., Rachowicz, W., Zdunek, A.: Computing with hp-Adaptive Finite Elements, Vol. II. Frontiers: Three Dimensional Elliptic and Maxwell Problems with Applications. Chapman & Hall\/CRC, Boca Raton (2007)","DOI":"10.1201\/9781420011692"},{"issue":"6","key":"28_CR15","doi-asserted-by":"crossref","first-page":"762","DOI":"10.1002\/nme.3262","volume":"89","author":"R Duddu","year":"2011","unstructured":"Duddu, R., Lavier, L., Hughes, T., Calo, V.: A finite strain Eulerian formulation for compressible and nearly incompressible hyper-elasticity using high-order NURBS elements. Int. J. Numer. Methods Eng. 89(6), 762\u2013785 (2011)","journal-title":"Int. J. Numer. Methods Eng."},{"key":"28_CR16","doi-asserted-by":"crossref","first-page":"586","DOI":"10.1016\/j.cma.2016.08.017","volume":"316","author":"D Garcia","year":"2017","unstructured":"Garcia, D., Pardo, D., Dalcin, L., Paszy\u0144ski, M., Collier, N., Calo, V.: The value of continuity: refined isogeometric analysis and fast direct solvers. Comput. Methods Appl. Mech. Eng. 316, 586\u2013605 (2017)","journal-title":"Comput. Methods Appl. Mech. Eng."},{"issue":"49\u201350","key":"28_CR17","doi-asserted-by":"crossref","first-page":"4333","DOI":"10.1016\/j.cma.2008.05.003","volume":"197","author":"H G\u00f3mez","year":"2008","unstructured":"G\u00f3mez, H., Calo, V., Bazilevs, Y., Hughes, T.: Isogeometric analysis of the cahn-hilliard phase-field model. Comput. Methods Appl. Mech. Eng. 197(49\u201350), 4333\u20134352 (2008)","journal-title":"Comput. Methods Appl. Mech. Eng."},{"issue":"25\u201328","key":"28_CR18","doi-asserted-by":"crossref","first-page":"1828","DOI":"10.1016\/j.cma.2010.02.010","volume":"199","author":"H Gomez","year":"2010","unstructured":"Gomez, H., Hughes, T., Nogueira, X., Calo, V.: Isogeometric analysis of the isothermal Navier-Stokes-Korteweg equations. Comput. Methods Appl. Mech. Eng. 199(25\u201328), 1828\u20131840 (2010)","journal-title":"Comput. Methods Appl. Mech. Eng."},{"issue":"2","key":"28_CR19","doi-asserted-by":"crossref","first-page":"213","DOI":"10.1007\/s00466-011-0633-2","volume":"49","author":"S Hossain","year":"2012","unstructured":"Hossain, S., Hossainy, S.A., Bazilevs, Y., Calo, V., Hughes, T.R.: Mathematical modeling of coupled drug and drug-encapsulated nanoparticle transport in patient-specific coronary artery walls. Comput. Mech. 49(2), 213\u2013242 (2012)","journal-title":"Comput. Mech."},{"issue":"1","key":"28_CR20","doi-asserted-by":"crossref","first-page":"93","DOI":"10.1016\/j.compfluid.2011.05.002","volume":"49","author":"M Hsu","year":"2011","unstructured":"Hsu, M., Akkerman, I., Bazilevs, Y.: High-performance computing of wind turbine aerodynamics using isogeometric analysis. Comput. Fluids 49(1), 93\u2013100 (2011)","journal-title":"Comput. Fluids"},{"issue":"39\u201341","key":"28_CR21","doi-asserted-by":"crossref","first-page":"4135","DOI":"10.1016\/j.cma.2004.10.008","volume":"194","author":"T Hughes","year":"2005","unstructured":"Hughes, T., Cottrell, J., Bazilevs, Y.: Isogeometric analysis: cad, finite elements, nurbs, exact geometry and mesh refinement. Comput. Methods Appl. Mech. Eng. 194(39\u201341), 4135\u20134195 (2005)","journal-title":"Comput. Methods Appl. Mech. Eng."},{"key":"28_CR22","doi-asserted-by":"crossref","unstructured":"Janota, B.: Algorithms for construction of elimination tree for multi-frontal solver of isogeometric finite element method. Master\u2019s thesis, AGH University, Poland (2016)","DOI":"10.1007\/978-3-319-67792-7_28"},{"issue":"1","key":"28_CR23","doi-asserted-by":"crossref","first-page":"359","DOI":"10.1137\/S1064827595287997","volume":"20","author":"G Karypis","year":"1998","unstructured":"Karypis, G., Kumar, V.: A fast and high quality multilevel scheme for partitioning irregular graphs. SIAM J. Sci. Comput. 20(1), 359\u2013392 (1998)","journal-title":"SIAM J. Sci. Comput."},{"key":"28_CR24","doi-asserted-by":"crossref","unstructured":"Li, X., Demmel, J., Gilbert, J., Grigori, I., Shao, M., Yamazaki, I.: Superlu users\u2019 guide. Technical report, Ernest Orlando Lawrence Berkeley National Laboratory (1999)","DOI":"10.2172\/751785"},{"issue":"3","key":"28_CR25","doi-asserted-by":"crossref","first-page":"302","DOI":"10.1145\/1089014.1089017","volume":"31","author":"XS Li","year":"2005","unstructured":"Li, X.S.: An overview of SuperLU: algorithms, implementation, and user interface. ACM Trans. Math. Softw. 31(3), 302\u2013325 (2005)","journal-title":"ACM Trans. Math. Softw."},{"issue":"1","key":"28_CR26","doi-asserted-by":"crossref","first-page":"134","DOI":"10.1137\/0611010","volume":"11","author":"J Liu","year":"1990","unstructured":"Liu, J.: The role of elimination trees in sparse factorization. SIAM J. Matrix Anal. Appl. 11(1), 134\u2013172 (1990)","journal-title":"SIAM J. Matrix Anal. Appl."},{"issue":"2","key":"28_CR27","doi-asserted-by":"crossref","first-page":"301","DOI":"10.1016\/S0167-8191(01)00141-7","volume":"28","author":"P H\u00e9non","year":"2002","unstructured":"H\u00e9non, P., Ramet, P., Roman, J.: PaStiX: a high-performance parallel direct solver for sparse symmetric positive definite systems. Parallel Comput. 28(2), 301\u2013321 (2002)","journal-title":"Parallel Comput."},{"issue":"10","key":"28_CR28","doi-asserted-by":"crossref","first-page":"1467","DOI":"10.1016\/j.camwa.2014.09.012","volume":"68","author":"A Paszy\u0144ska","year":"2014","unstructured":"Paszy\u0144ska, A.: Volume and neighbors algorithm for finding elimination trees for three dimensional-adaptive grids. Comput. Math. Appl. 68(10), 1467\u20131478 (2014)","journal-title":"Comput. Math. Appl."},{"key":"28_CR29","first-page":"1","volume":"2015","author":"A Paszy\u0144ska","year":"2015","unstructured":"Paszy\u0144ska, A., Paszy\u0144ski, M., Jopek, K., Wo\u017aniak, M., Goik, D., Gurgul, P., AbouEisha, H., Moshkov, M., Calo, H., Lenharth, A., Nguyen, D., Pingali, K.: Quasi-optimal elimination trees for 2D grids with singularities. Sci. Programm. 2015, 1\u201318 (2015)","journal-title":"Sci. Programm."},{"key":"28_CR30","doi-asserted-by":"crossref","DOI":"10.1201\/b19078","volume-title":"Fast Solvers for Mesh-Based Computations","author":"M Paszy\u0144ski","year":"2016","unstructured":"Paszy\u0144ski, M.: Fast Solvers for Mesh-Based Computations. CRC Press, Boca Raton (2016)"}],"container-title":["Advances in Intelligent Systems and Computing","Man-Machine Interactions 5"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-319-67792-7_28","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,10,3]],"date-time":"2019-10-03T17:02:05Z","timestamp":1570122125000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-319-67792-7_28"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017,9,20]]},"ISBN":["9783319677910","9783319677927"],"references-count":30,"URL":"https:\/\/doi.org\/10.1007\/978-3-319-67792-7_28","relation":{},"ISSN":["2194-5357","2194-5365"],"issn-type":[{"type":"print","value":"2194-5357"},{"type":"electronic","value":"2194-5365"}],"subject":[],"published":{"date-parts":[[2017,9,20]]}}}