{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,31]],"date-time":"2026-03-31T11:48:11Z","timestamp":1774957691894,"version":"3.50.1"},"reference-count":22,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2016,6,4]],"date-time":"2016-06-04T00:00:00Z","timestamp":1464998400000},"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":["Numer. Math."],"published-print":{"date-parts":[[2017,3]]},"DOI":"10.1007\/s00211-016-0814-1","type":"journal-article","created":{"date-parts":[[2016,6,4]],"date-time":"2016-06-04T17:43:35Z","timestamp":1465062215000},"page":"711-732","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":59,"title":["A fictitious domain approach with Lagrange multiplier for fluid-structure interactions"],"prefix":"10.1007","volume":"135","author":[{"given":"Daniele","family":"Boffi","sequence":"first","affiliation":[]},{"given":"Lucia","family":"Gastaldi","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2016,6,4]]},"reference":[{"issue":"2","key":"814_CR1","doi-asserted-by":"crossref","first-page":"361","DOI":"10.1007\/s00211-013-0562-4","volume":"126","author":"RE Bank","year":"2014","unstructured":"Bank, R.E., Yserentant, H.: On the $$H^1$$ H 1 -stability of the $$L_2$$ L 2 -projection onto finite element spaces. Numer. Math. 126(2), 361\u2013381 (2014)","journal-title":"Numer. Math."},{"key":"814_CR2","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-642-36519-5","volume-title":"Mixed finite element methods and applications. Springer series in computational mathematics","author":"D Boffi","year":"2013","unstructured":"Boffi, D., Brezzi, F., Fortin, M.: Mixed finite element methods and applications. Springer series in computational mathematics, vol. 44. Springer, New York (2013)"},{"issue":"12","key":"814_CR3","doi-asserted-by":"crossref","first-page":"2523","DOI":"10.1142\/S0218202511005829","volume":"21","author":"D Boffi","year":"2011","unstructured":"Boffi, D., Cavallini, N., Gastaldi, L.: Finite element approach to immersed boundary method with different fluid and solid densities. Math. Models Methods Appl. Sci. 21(12), 2523\u20132550 (2011)","journal-title":"Math. Models Methods Appl. Sci."},{"key":"814_CR4","doi-asserted-by":"crossref","unstructured":"D.\u00a0Boffi, N.\u00a0Cavallini, and L.\u00a0Gastaldi. The finite element immersed boundary method with distributed Lagrange multiplier. SIAM J. Numer. Anal. 53, 2584\u20132604 (2015)","DOI":"10.1137\/140978399"},{"key":"814_CR5","doi-asserted-by":"crossref","unstructured":"D.\u00a0Boffi and L.\u00a0Gastaldi. A finite element approach for the immersed boundary method. Comput. Struct., 81(8\u201311):491\u2013501, 2003. In honour of Klaus-J\u00fcrgen Bathe","DOI":"10.1016\/S0045-7949(02)00404-2"},{"issue":"10","key":"814_CR6","doi-asserted-by":"crossref","first-page":"1479","DOI":"10.1142\/S0218202507002352","volume":"17","author":"D Boffi","year":"2007","unstructured":"Boffi, D., Gastaldi, L., Heltai, L.: Numerical stability of the finite element immersed boundary method. Math. Models Methods Appl. Sci. 17(10), 1479\u20131505 (2007)","journal-title":"Math. Models Methods Appl. Sci."},{"issue":"25\u201328","key":"814_CR7","doi-asserted-by":"crossref","first-page":"2210","DOI":"10.1016\/j.cma.2007.09.015","volume":"197","author":"D Boffi","year":"2008","unstructured":"Boffi, D., Gastaldi, L., Heltai, L., Peskin, C.S.: On the hyper-elastic formulation of the immersed boundary method. Comput. Methods Appl. Mech. Eng. 197(25\u201328), 2210\u20132231 (2008)","journal-title":"Comput. Methods Appl. Mech. Eng."},{"issue":"237","key":"814_CR8","doi-asserted-by":"crossref","first-page":"147","DOI":"10.1090\/S0025-5718-01-01314-X","volume":"71","author":"JH Bramble","year":"2002","unstructured":"Bramble, J.H., Pasciak, J.E., Steinbach, O.: On the stability of the $$L^2$$ L 2 . Math. Comp. 71(237), 147\u2013156 (2002). (electronic)","journal-title":"Math. Comp."},{"key":"814_CR9","doi-asserted-by":"crossref","DOI":"10.1007\/978-0-387-75934-0","volume-title":"The mathematical theory of finite element methods, volume 15 of texts in applied mathematics","author":"SC Brenner","year":"2008","unstructured":"Brenner, S.C., Scott, R.L.: The mathematical theory of finite element methods, volume 15 of texts in applied mathematics, 3rd edn. Springer, New York (2008)","edition":"3"},{"issue":"237","key":"814_CR10","doi-asserted-by":"crossref","first-page":"157","DOI":"10.1090\/S0025-5718-01-01316-3","volume":"71","author":"C Carstensen","year":"2002","unstructured":"Carstensen, C.: Merging the Bramble-Pasciak-Steinbach and the Crouzeix-Thom\u00e9e criterion for $$H^1$$ H 1 -projection onto finite element spaces. Math. Comp. 71(237), 157\u2013163 (2002). (electronic)","journal-title":"Math. Comp."},{"issue":"4","key":"814_CR11","doi-asserted-by":"crossref","first-page":"549","DOI":"10.1007\/s00365-003-0550-5","volume":"20","author":"C Carstensen","year":"2004","unstructured":"Carstensen, C.: An adaptive mesh-refining algorithm allowing for an $$H^1$$ H 1 stable $$L^2$$ L 2 projection onto Courant finite element spaces. Constr. Approx. 20(4), 549\u2013564 (2004)","journal-title":"Constr. Approx."},{"issue":"1","key":"814_CR12","doi-asserted-by":"crossref","first-page":"3","DOI":"10.2478\/cmam-2001-0001","volume":"1","author":"M Crouzeix","year":"2001","unstructured":"Crouzeix, M., Thom\u00e9e, V.: Resolvent estimates in $$l_p$$ l p for discrete Laplacians on irregular meshes and maximum-norm stability of parabolic finite difference schemes. Comput. Methods Appl. Math. 1(1), 3\u201317 (2001)","journal-title":"Comput. Methods Appl. Math."},{"key":"814_CR13","doi-asserted-by":"publisher","unstructured":"F.D. Gaspoz, C.-J. Heine, and K.G. Siebert. Optimal grading of the newest vertex bisection and H1-stability of the L2-projection. IMA J. Numer. Anal., 2015. To appear. doi: 10.1093\/imanum\/drv044","DOI":"10.1093\/imanum\/drv044"},{"issue":"3","key":"814_CR14","doi-asserted-by":"crossref","first-page":"487","DOI":"10.1007\/BF03167240","volume":"12","author":"V Girault","year":"1995","unstructured":"Girault, V., Glowinski, R.: Error analysis of a fictitious domain method applied to a Dirichlet problem. Jpn J. Ind. Appl. Math. 12(3), 487\u2013514 (1995)","journal-title":"Jpn J. Ind. Appl. Math."},{"key":"814_CR15","doi-asserted-by":"crossref","unstructured":"V.\u00a0Girault, R.\u00a0Glowinski, and T.-W. Pan. A fictitious-domain method with distributed multiplier for the Stokes problem. In Applied nonlinear analysis, pp. 159\u2013174. Kluwer\/Plenum, New York, (1999)","DOI":"10.1007\/0-306-47096-9_12"},{"issue":"8","key":"814_CR16","doi-asserted-by":"crossref","first-page":"1498","DOI":"10.1016\/j.cma.2006.05.013","volume":"196","author":"R Glowinski","year":"2007","unstructured":"Glowinski, R., Kuznetsov, Yu.: Distributed Lagrange multipliers based on fictitious domain method for second order elliptic problems. Comput. Methods Appl. Mech. Eng. 196(8), 1498\u20131506 (2007)","journal-title":"Comput. Methods Appl. Mech. Eng."},{"issue":"7\u20138","key":"814_CR17","doi-asserted-by":"crossref","first-page":"598","DOI":"10.1016\/j.compstruc.2007.08.008","volume":"86","author":"L Heltai","year":"2008","unstructured":"Heltai, L.: On the stability of the finite element immersed boundary method. Comput. Struct. 86(7\u20138), 598\u2013617 (2008)","journal-title":"Comput. Struct."},{"issue":"232","key":"814_CR18","doi-asserted-by":"crossref","first-page":"110","DOI":"10.1016\/j.cma.2012.04.001","volume":"229","author":"L Heltai","year":"2012","unstructured":"Heltai, L., Costanzo, F.: Variational implementation of immersed finite element methods. Comput. Methods Appl. Mech. Eng. 229(232), 110\u2013127 (2012)","journal-title":"Comput. Methods Appl. Mech. Eng."},{"key":"814_CR19","doi-asserted-by":"crossref","unstructured":"D.\u00a0Kamensky, J.A. Evans, and M.-C. Hsu. Stability and conservation properties of collocated constraints in immersogeometric fluid-thin structure interaction analysis. Commun. Comput. Phys. 18, 1147\u20131180 (2015)","DOI":"10.4208\/cicp.150115.170415s"},{"key":"814_CR20","doi-asserted-by":"crossref","first-page":"1005","DOI":"10.1016\/j.cma.2014.10.040","volume":"284","author":"D Kamensky","year":"2015","unstructured":"Kamensky, D., Hsu, M.-C., Schillinger, D., Evans, J.A., Aggarwal, A., Bazilevs, Y., Sacks, M.S., Hughes, T.J.R.: An immersogeometric variational framework for fluid-structure interaction: application to bioprosthetic heart valves. Comput. Methods Appl. Mech. Eng. 284, 1005\u20131053 (2015)","journal-title":"Comput. Methods Appl. Mech. Eng."},{"key":"814_CR21","doi-asserted-by":"crossref","first-page":"479","DOI":"10.1017\/S0962492902000077","volume":"11","author":"CS Peskin","year":"2002","unstructured":"Peskin, C.S.: The immersed boundary method. Acta Numer. 11, 479\u2013517 (2002)","journal-title":"Acta Numer."},{"key":"814_CR22","doi-asserted-by":"crossref","first-page":"1305","DOI":"10.1016\/j.cma.2003.12.024","volume":"193","author":"X Wang","year":"2004","unstructured":"Wang, X., Liu, W.K.: Extended immersed boundary method using FEM and RKPM. Comput. Methods Appl. Mech. Eng. 193, 1305\u20131321 (2004)","journal-title":"Comput. Methods Appl. Mech. Eng."}],"container-title":["Numerische Mathematik"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00211-016-0814-1.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00211-016-0814-1\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00211-016-0814-1","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00211-016-0814-1.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,9,9]],"date-time":"2019-09-09T08:09:34Z","timestamp":1568016574000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00211-016-0814-1"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016,6,4]]},"references-count":22,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2017,3]]}},"alternative-id":["814"],"URL":"https:\/\/doi.org\/10.1007\/s00211-016-0814-1","relation":{},"ISSN":["0029-599X","0945-3245"],"issn-type":[{"value":"0029-599X","type":"print"},{"value":"0945-3245","type":"electronic"}],"subject":[],"published":{"date-parts":[[2016,6,4]]}}}