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Numerical results are presented for tetrahedral and hexahedral elements, and both structured and unstructured meshes. In all cases GMRES convergence rates are seen to be independent of mesh size. Finally, we show an application of this problem for modeling fluid flow within the heart.<\/jats:p>","DOI":"10.1137\/08072958x","type":"journal-article","created":{"date-parts":[[2010,2,17]],"date-time":"2010-02-17T18:07:17Z","timestamp":1266430037000},"page":"521-543","source":"Crossref","is-referenced-by-count":17,"title":["A Preconditioner for the Finite Element Approximation to the Arbitrary Lagrangian\u2013Eulerian Navier\u2013Stokes Equations"],"prefix":"10.1137","volume":"32","author":[{"given":"David","family":"Nordsletten","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Nicolas","family":"Smith","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"David","family":"Kay","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2010,2,17]]},"reference":[{"key":"R1","doi-asserted-by":"publisher","DOI":"10.1137\/070680497"},{"key":"R2","doi-asserted-by":"publisher","DOI":"10.1017\/S0962492904000212"},{"key":"R3","doi-asserted-by":"publisher","DOI":"10.1002\/(SICI)1097-0363(19970930)25:6<719::AID-FLD585>3.0.CO;2-K"},{"key":"R4","doi-asserted-by":"publisher","DOI":"10.1016\/j.cma.2004.08.014"},{"key":"R5","doi-asserted-by":"publisher","DOI":"10.1137\/0728032"},{"key":"R6","doi-asserted-by":"publisher","DOI":"10.1016\/j.cma.2004.12.005"},{"key":"R7","doi-asserted-by":"publisher","DOI":"10.1007\/s10439-005-4388-9"},{"key":"R8","doi-asserted-by":"publisher","DOI":"10.1137\/S0036142902404406"},{"key":"R9","doi-asserted-by":"publisher","DOI":"10.1137\/S0036142902404418"},{"key":"R10","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcp.2005.02.012"},{"key":"R11","doi-asserted-by":"publisher","DOI":"10.1016\/j.athoracsur.2009.01.036"},{"key":"R12","doi-asserted-by":"publisher","DOI":"10.1016\/S0377-0427(00)00515-X"},{"key":"R13","doi-asserted-by":"publisher","DOI":"10.1016\/S0045-7825(98)00016-4"},{"key":"R14","doi-asserted-by":"publisher","DOI":"10.1016\/S0045-7825(97)00216-8"},{"key":"R15","doi-asserted-by":"publisher","DOI":"10.1002\/fld.1650211004"},{"key":"R16","doi-asserted-by":"publisher","DOI":"10.1002\/nme.1792"},{"key":"R17","doi-asserted-by":"publisher","DOI":"10.1016\/j.compstruc.2004.04.021"},{"key":"R18","doi-asserted-by":"publisher","DOI":"10.1016\/j.cma.2003.09.028"},{"key":"R19","doi-asserted-by":"publisher","DOI":"10.1051\/m2an:2003049"},{"key":"R20","doi-asserted-by":"publisher","DOI":"10.1016\/j.compstruc.2004.03.083"},{"key":"R21","doi-asserted-by":"publisher","DOI":"10.1007\/PL00005441"},{"key":"R22","doi-asserted-by":"crossref","unstructured":"V. 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