Estimation of element-based zero-stress state for arterial FSI computations

citation_journal_title=Jpn Soc Mech Eng J Ser A; citation_title=Influence of wall elasticity on image-based blood flow simulation; citation_author=R Torii, M Oshima, T Kobayashi, K Takagi, TE Tezduyar; citation_volume=70; citation_publication_date=2004; citation_pages=1224-1231; citation_doi=10.1299/kikaia.70.1224; citation_id=CR1 citation_journal_title=Comput Methods Appl Mech Eng; citation_title=Computer modeling of cardiovascular fluid–structure interactions with the deforming-spatial-domain/stabilized space–time formulation; citation_author=R Torii, M Oshima, T Kobayashi, K Takagi, TE Tezduyar; citation_volume=195; citation_publication_date=2006; citation_pages=1885-1895; citation_doi=10.1016/j.cma.2005.05.050; citation_id=CR2 citation_journal_title=Comput Mech; citation_title=Fluid–structure interaction modeling of aneurysmal conditions with high and normal blood pressures; citation_author=R Torii, M Oshima, T Kobayashi, K Takagi, TE Tezduyar; citation_volume=38; citation_publication_date=2006; citation_pages=482-490; citation_doi=10.1007/s00466-006-0065-6; citation_id=CR3 citation_journal_title=Comput Mech; citation_title=Isogeometric fluid–structure interaction analysis with applications to arterial blood flow; citation_author=Y Bazilevs, VM Calo, Y Zhang, TJR Hughes; citation_volume=38; citation_publication_date=2006; citation_pages=310-322; citation_doi=10.1007/s00466-006-0084-3; citation_id=CR4 citation_journal_title=Int J Numer Methods Fluids; citation_title=Modeling of fluid–structure interactions with the space–time finite elements: arterial fluid mechanics; citation_author=TE Tezduyar, S Sathe, T Cragin, B Nanna, BS Conklin, J Pausewang, M Schwaab; citation_volume=54; citation_publication_date=2007; citation_pages=901-922; citation_doi=10.1002/fld.1443; citation_id=CR5 citation_journal_title=Comput Fluids; citation_title=Influence of wall elasticity in patient-specific hemodynamic simulations; citation_author=R Torii, M Oshima, T Kobayashi, K Takagi, TE Tezduyar; citation_volume=36; citation_publication_date=2007; citation_pages=160-168; citation_doi=10.1016/j.compfluid.2005.07.014; citation_id=CR6 citation_journal_title=Int J Numer Methods Fluids; citation_title=Numerical investigation of the effect of hypertensive blood pressure on cerebral aneurysm—dependence of the effect on the aneurysm shape; citation_author=R Torii, M Oshima, T Kobayashi, K Takagi, TE Tezduyar; citation_volume=54; citation_publication_date=2007; citation_pages=995-1009; citation_doi=10.1002/fld.1497; citation_id=CR7 citation_journal_title=Int J Numer Methods Fluids; citation_title=YZ discontinuity-capturing for advection-dominated processes with application to arterial drug delivery; citation_author=Y Bazilevs, VM Calo, TE Tezduyar, TJR Hughes; citation_volume=54; citation_publication_date=2007; citation_pages=593-608; citation_doi=10.1002/fld.1484; citation_id=CR8 citation_journal_title=Int J Numer Methods Fluids; citation_title=Arterial fluid mechanics modeling with the stabilized space–time fluid–structure interaction technique; citation_author=TE Tezduyar, S Sathe, M Schwaab, BS Conklin; citation_volume=57; citation_publication_date=2008; citation_pages=601-629; citation_doi=10.1002/fld.1633; citation_id=CR9 citation_journal_title=Comput Mech; citation_title=Fluid–structure interaction modeling of a patient-specific cerebral aneurysm: influence of structural modeling; citation_author=R Torii, M Oshima, T Kobayashi, K Takagi, TE Tezduyar; citation_volume=43; citation_publication_date=2008; citation_pages=151-159; citation_doi=10.1007/s00466-008-0325-8; citation_id=CR10 citation_journal_title=Comput Mech; citation_title=Isogeometric fluid–structure interaction: theory, algorithms, and computations; citation_author=Y Bazilevs, VM Calo, TJR Hughes, Y Zhang; citation_volume=43; citation_publication_date=2008; citation_pages=3-37; citation_doi=10.1007/s00466-008-0315-x; citation_id=CR11 citation_journal_title=Stroke; citation_title=Determination of wall tension in cerebral artery aneurysms by numerical simulation; citation_author=JG Isaksen, Y Bazilevs, T Kvamsdal, Y Zhang, JH Kaspersen, K Waterloo, B Romner, T Ingebrigtsen; citation_volume=39; citation_publication_date=2008; citation_pages=3172-3178; citation_doi=10.1161/STROKEAHA.107.503698; citation_id=CR12 citation_journal_title=Comput Methods Appl Mech Eng; citation_title=Sequentially-coupled arterial fluid–structure interaction (SCAFSI) technique; citation_author=TE Tezduyar, M Schwaab, S Sathe; citation_volume=198; citation_publication_date=2009; citation_pages=3524-3533; citation_doi=10.1016/j.cma.2008.05.024; citation_id=CR13 citation_journal_title=Comput Methods Appl Mech Eng; citation_title=Fluid–structure interaction modeling of blood flow and cerebral aneurysm: significance of artery and aneurysm shapes; citation_author=R Torii, M Oshima, T Kobayashi, K Takagi, TE Tezduyar; citation_volume=198; citation_publication_date=2009; citation_pages=3613-3621; citation_doi=10.1016/j.cma.2008.08.020; citation_id=CR14 citation_journal_title=Comput Methods Appl Mech Eng; citation_title=“Patient-specific isogeometric fluid–structure interaction analysis of thoracic aortic blood flow due to implantation of the Jarvik (2000) left ventricular assist device”; citation_author=Y Bazilevs, JR Gohean, TJR Hughes, RD Moser, Y Zhang; citation_volume=198; citation_issue=2009; citation_publication_date=2000; citation_pages=3534-3550; citation_id=CR15 citation_journal_title=Comput Mech; citation_title=Computational fluid–structure interaction: methods and application to a total cavopulmonary connection; citation_author=Y Bazilevs, M-C Hsu, D Benson, S Sankaran, A Marsden; citation_volume=45; citation_publication_date=2009; citation_pages=77-89; citation_id=CR16 citation_journal_title=Int J Numer Methods Biomed Eng; citation_title=Space–time finite element computation of arterial fluid–structure interactions with patient-specific data; citation_author=K Takizawa, J Christopher, TE Tezduyar, S Sathe; citation_volume=26; citation_publication_date=2010; citation_pages=101-116; citation_doi=10.1002/cnm.1241; citation_id=CR17 citation_journal_title=Comput Mech; citation_title=Multiscale sequentially-coupled arterial FSI technique; citation_author=TE Tezduyar, K Takizawa, C Moorman, S Wright, J Christopher; citation_volume=46; citation_publication_date=2010; citation_pages=17-29; citation_doi=10.1007/s00466-009-0423-2; citation_id=CR18 citation_journal_title=Comput Mech; citation_title=Wall shear stress calculations in space–time finite element computation of arterial fluid–structure interactions; citation_author=K Takizawa, C Moorman, S Wright, J Christopher, TE Tezduyar; citation_volume=46; citation_publication_date=2010; citation_pages=31-41; citation_doi=10.1007/s00466-009-0425-0; citation_id=CR19 citation_journal_title=Int J Numer Methods Biomed Eng; citation_title=Influence of wall thickness on fluid–structure interaction computations of cerebral aneurysms; citation_author=R Torii, M Oshima, T Kobayashi, K Takagi, TE Tezduyar; citation_volume=26; citation_publication_date=2010; citation_pages=336-347; citation_doi=10.1002/cnm.1289; citation_id=CR20 citation_journal_title=Comput Mech; citation_title=Role of 0D peripheral vasculature model in fluid–structure interaction modeling of aneurysms; citation_author=R Torii, M Oshima, T Kobayashi, K Takagi, TE Tezduyar; citation_volume=46; citation_publication_date=2010; citation_pages=43-52; citation_doi=10.1007/s00466-009-0439-7; citation_id=CR21 citation_journal_title=Comput Mech; citation_title=A fully-coupled fluid–structure interaction simulation of cerebral aneurysms; citation_author=Y Bazilevs, M-C Hsu, Y Zhang, W Wang, X Liang, T Kvamsdal, R Brekken, J Isaksen; citation_volume=46; citation_publication_date=2010; citation_pages=3-16; citation_doi=10.1007/s00466-009-0421-4; citation_id=CR22 citation_journal_title=Comput Mech; citation_title=Full Eulerian simulations of biconcave neo-Hookean particles in a Poiseuille flow; citation_author=K Sugiyama, S Ii, S Takeuchi, S Takagi, Y Matsumoto; citation_volume=46; citation_publication_date=2010; citation_pages=147-157; citation_doi=10.1007/s00466-010-0484-2; citation_id=CR23 citation_journal_title=Biomech Model Mechanobiol; citation_title=Computational fluid–structure interaction: methods and application to cerebral aneurysms; citation_author=Y Bazilevs, M-C Hsu, Y Zhang, W Wang, T Kvamsdal, S Hentschel, J Isaksen; citation_volume=9; citation_publication_date=2010; citation_pages=481-498; citation_doi=10.1007/s10237-010-0189-7; citation_id=CR24 citation_journal_title=Prog Pediatr Cardiol; citation_title=From imaging to prediction: emerging non-invasive methods in pediatric cardiology; citation_author=Y Bazilevs, JC Alamo, JD Humphrey; citation_volume=30; citation_publication_date=2010; citation_pages=81-89; citation_doi=10.1016/j.ppedcard.2010.09.010; citation_id=CR25 citation_journal_title=Int J Numer Methods Fluids; citation_title=Patient-specific arterial fluid–structure interaction modeling of cerebral aneurysms; citation_author=K Takizawa, C Moorman, S Wright, J Purdue, T McPhail, PR Chen, J Warren, TE Tezduyar; citation_volume=65; citation_publication_date=2011; citation_pages=308-323; citation_doi=10.1002/fld.2360; citation_id=CR26 citation_journal_title=Int J Numer Methods Fluids; citation_title=Nested and parallel sparse algorithms for arterial fluid mechanics computations with boundary layer mesh refinement; citation_author=M Manguoglu, K Takizawa, AH Sameh, TE Tezduyar; citation_volume=65; citation_publication_date=2011; citation_pages=135-149; citation_doi=10.1002/fld.2415; citation_id=CR27 citation_journal_title=Int J Numer Methods Fluids; citation_title=Influencing factors in image-based fluid–structure interaction computation of cerebral aneurysms; citation_author=R Torii, M Oshima, T Kobayashi, K Takagi, TE Tezduyar; citation_volume=65; citation_publication_date=2011; citation_pages=324-340; citation_doi=10.1002/fld.2448; citation_id=CR28 citation_journal_title=Int J Numer Methods Biomed Eng; citation_title=Space–time fluid–structure interaction modeling of patient-specific cerebral aneurysms; citation_author=TE Tezduyar, K Takizawa, T Brummer, PR Chen; citation_volume=27; citation_publication_date=2011; citation_pages=1665-1710; citation_doi=10.1002/cnm.1433; citation_id=CR29 citation_journal_title=Finite Elem Anal Des; citation_title=Blood vessel tissue prestress modeling for vascular fluid–structure interaction simulations; citation_author=M-C Hsu, Y Bazilevs; citation_volume=47; citation_publication_date=2011; citation_pages=593-599; citation_doi=10.1016/j.finel.2010.12.015; citation_id=CR30 citation_journal_title=Comput Mech; citation_title=A parallel sparse algorithm targeting arterial fluid mechanics computations; citation_author=M Manguoglu, K Takizawa, AH Sameh, TE Tezduyar; citation_volume=48; citation_publication_date=2011; citation_pages=377-384; citation_doi=10.1007/s00466-011-0619-0; citation_id=CR31 citation_journal_title=J Appl Mech; citation_title=A comparative study based on patient-specific fluid–structure interaction modeling of cerebral aneurysms; citation_author=K Takizawa, T Brummer, TE Tezduyar, PR Chen; citation_volume=79; citation_publication_date=2012; citation_pages=010908; citation_doi=10.1115/1.4005071; citation_id=CR32 citation_journal_title=Arch Comput Methods Eng; citation_title=Space–time and ALE-VMS techniques for patient-specific cardiovascular fluid–structure interaction modeling; citation_author=K Takizawa, Y Bazilevs, TE Tezduyar; citation_volume=19; citation_publication_date=2012; citation_pages=171-225; citation_id=CR33 citation_journal_title=Comput Mech; citation_title=Patient-specific computer modeling of blood flow in cerebral arteries with aneurysm and stent; citation_author=K Takizawa, K Schjodt, A Puntel, N Kostov, TE Tezduyar; citation_volume=50; citation_publication_date=2012; citation_pages=675-686; citation_id=CR34 citation_journal_title=Comput Mech; citation_title=Immersed smoothed finite element method for fluid–structure interaction simulation of aortic valves; citation_author=JY Yao, GR Liu, DA Narmoneva, RB Hinton, Z-Q Zhang; citation_volume=50; citation_publication_date=2012; citation_pages=789-804; citation_id=CR35 citation_title=Computational fluid–structure interaction: methods and applications; citation_publication_date=2013; citation_id=CR36; citation_author=Y Bazilevs; citation_author=K Takizawa; citation_author=TE Tezduyar; citation_publisher=Wiley citation_journal_title=Math Models Methods Appl Sci; citation_title=Challenges and directions in computational fluid–structure interaction; citation_author=Y Bazilevs, K Takizawa, TE Tezduyar; citation_volume=23; citation_publication_date=2013; citation_pages=215-221; citation_doi=10.1142/S0218202513400010; citation_id=CR37 citation_journal_title=Comput Mech; citation_title=Patient-specific computational analysis of the influence of a stent on the unsteady flow in cerebral aneurysms; citation_author=K Takizawa, K Schjodt, A Puntel, N Kostov, TE Tezduyar; citation_volume=51; citation_publication_date=2013; citation_pages=1061-1073; citation_doi=10.1007/s00466-012-0790-y; citation_id=CR38 Long CC, Marsden AL, Bazilevs Y (2013) Fluid–structure interaction simulation of pulsatile ventricular assist devices. Comput Mech. doi: 10.1007/s00466-013-0858-3 Esmaily-Moghadam M, Bazilevs Y, Marsden AL (2013) A new preconditioning technique for implicitly coupled multidomain simulations with applications to hemodynamics. Comput Mech. doi: 10.1007/s00466-013-0868-1 citation_journal_title=Math Models Methods Appl Sci; citation_title=Space–time fluid–structure interaction methods; citation_author=K Takizawa, TE Tezduyar; citation_volume=22; citation_publication_date=2012; citation_pages=1230001; citation_doi=10.1142/S0218202512300013; citation_id=CR41 citation_title=FSI computations in arterial fluid mechanics with estimated zero-pressure arterial geometry; citation_inbook_title=Marine 2007; citation_publication_date=2007; citation_id=CR42; citation_author=TE Tezduyar; citation_author=T Cragin; citation_author=S Sathe; citation_author=B Nanna; citation_publisher=CIMNE citation_journal_title=J Biomech Eng; citation_title=Relationship between hypertension, hypertrophy, and opening angle of zero-stress state of arteries following aortic constriction; citation_author=SQ Liu, YC Fung; citation_volume=111; citation_publication_date=1989; citation_pages=325-335; citation_doi=10.1115/1.3168386; citation_id=CR43 citation_journal_title=J Vasc Res; citation_title=Effect of age and sex on residual stress in the aorta; citation_author=A Saini, C Berry, S Greenwald; citation_volume=32; citation_publication_date=1995; citation_pages=398-405; citation_id=CR44 citation_journal_title=Am J Physiol; citation_title=Change in intramural strain distribution in rat aorta due to smooth muscle contraction and relaxation; citation_author=T Matsumoto, M Tsuchida, M Sato; citation_volume=271; citation_publication_date=1996; citation_pages=H1711-1716; citation_id=CR45 citation_journal_title=Am J Physiol Heart Circ Physiol; citation_title=Remodeling of the zero-stress state of femoral arteries in response to flow overload; citation_author=X Lu, JB Zhao, GR Wang, H Gregersen, GS Kassab; citation_volume=280; citation_publication_date=2001; citation_pages=H1547-1559; citation_id=CR46 citation_journal_title=Ann Biomed Eng; citation_title=Layer-specific 3D residual deformations of human aortas with non-atherosclerotic intimal thickening; citation_author=GA Holzapfel, G Sommer, M Auer, P Regitnig, RW Ogden; citation_volume=35; citation_publication_date=2007; citation_pages=530-545; citation_doi=10.1007/s10439-006-9252-z; citation_id=CR47 citation_journal_title=J Biomech Eng; citation_title=Zero-stress states of arteries; citation_author=SQ Liu, YC Fung; citation_volume=110; citation_publication_date=1988; citation_pages=82-84; citation_doi=10.1115/1.3108410; citation_id=CR48 citation_journal_title=J Biomech; citation_title=Residual strain effects on the stress field in a thick wall finite element model of the human carotid bifurcation; citation_author=A Delfino, N Stergiopulos, JE Moore, JJ Meister; citation_volume=30; citation_publication_date=1997; citation_pages=777-786; citation_doi=10.1016/S0021-9290(97)00025-0; citation_id=CR49 citation_journal_title=Med Biol Eng Comput; citation_title=An image-based modeling framework for patient-specific computational hemodynamics; citation_author=L Antiga, M Piccinelli, L Botti, B Ene-Iordache, A Remuzzi, DA Steinman; citation_volume=46; citation_publication_date=2008; citation_pages=1097-1112; citation_doi=10.1007/s11517-008-0420-1; citation_id=CR50 citation_journal_title=Circulation; citation_title=The impact of calcification on the biomechanical stability of atherosclerotic plaques; citation_author=H Huang, R Virmani, H Younis, AP Burke, RD Kamm, RT Lee; citation_volume=103; citation_publication_date=2001; citation_pages=1051-1056; citation_doi=10.1161/01.CIR.103.8.1051; citation_id=CR51 citation_journal_title=SIAM J Sci Stat Comput; citation_title=GMRES: a generalized minimal residual algorithm for solving nonsymmetric linear systems; citation_author=Y Saad, M Schultz; citation_volume=7; citation_publication_date=1986; citation_pages=856-869; citation_doi=10.1137/0907058; citation_id=CR52