SEARCH

SEARCH BY CITATION

REFERENCES

  • 1
    Torii R, Oshima M, Kobayashi T, Takagi K, Tezduyar TE. Influence of wall elasticity on image-based blood flow simulation. Japan Society of Mechanical Engineers Journal Series A 2004; 70:12241231 (in Japanese).
  • 2
    Torii R, Oshima M, Kobayashi T, Takagi K, Tezduyar TE. Computation of cardiovascular fluid–structure interactions with the DSD/SST method. Proceedings of the 6th World Congress on Computational Mechanics (CD-ROM), Beijing, China, 2004.
  • 3
    Gerbeau J-F, Vidrascu M, Frey P. Fluid–structure interaction in blood flow on geometries based on medical images. Computers and Structures 2005; 83:155165.
  • 4
    Torii R, Oshima M, Kobayashi T, Takagi K, Tezduyar TE. Computer modeling of cardiovascular fluid–structure interactions with the deforming-spatial-domain/stabilized space–time formulation. Computer Methods in Applied Mechanics and Engineering 2006; 195:18851895.
  • 5
    Torii R, Oshima M, Kobayashi T, Takagi K, Tezduyar TE. Fluid–structure interaction modeling of aneurysmal conditions with high and normal blood pressures. Computational Mechanics 2006; 38:482490.
  • 6
    Bazilevs Y, Calo VM, Zhang Y, Hughes TJR. Isogeometric fluid–structure interaction analysis with applications to arterial blood flow. Computational Mechanics 2006; 38:310322.
  • 7
    Torii R, Oshima M, Kobayashi T, Takagi K, Tezduyar TE. Influence of wall elasticity in patient-specific hemodynamic simulations. Computers and Fluids 2007; 36:160168.
  • 8
    Tezduyar TE, Sathe S, Cragin T, Nanna B, Conklin BS, Pausewang J, Schwaab M. Modeling of fluid–structure interactions with the space–time finite elements: arterial fluid mechanics. International Journal for Numerical Methods in Fluids 2007; 54:901922.
  • 9
    Bazilevs Y, Calo VM, Tezduyar TE, Hughes TJR. YZβ discontinuity-capturing for advection-dominated processes with application to arterial drug delivery. International Journal for Numerical Methods in Fluids 2007; 54:593608.
  • 10
    Torii R, Oshima M, Kobayashi T, Takagi K, Tezduyar TE. Numerical investigation of the effect of hypertensive blood pressure on cerebral aneurysm—dependence of the effect on the aneurysm shape. International Journal for Numerical Methods in Fluids 2007; 54:9951009.
  • 11
    Tezduyar TE. Stabilized finite element formulations for incompressible flow computations. Advances in Applied Mechanics 1992; 28:144.
  • 12
    Tezduyar TE, Behr M, Liou J. A new strategy for finite element computations involving moving boundaries and interfaces—the deforming-spatial-domain/space–time procedure: I. The concept and the preliminary numerical tests. Computer Methods in Applied Mechanics and Engineering 1992; 94:339351.
  • 13
    Tezduyar TE, Behr M, Mittal S, Liou J. A new strategy for finite element computations involving moving boundaries and interfaces—the deforming-spatial-domain/space–time procedure: II. Computation of free-surface flows, two-liquid flows, and flows with drifting cylinders. Computer Methods in Applied Mechanics and Engineering 1992; 94:353371.
  • 14
    Mittal S, Tezduyar TE. Parallel finite element simulation of 3D incompressible flows—fluid–structure interactions. International Journal for Numerical Methods in Fluids 1995; 21:933953.
  • 15
    Kalro V, Tezduyar TE. A parallel 3D computational method for fluid–structure interactions in parachute systems. Computer Methods in Applied Mechanics and Engineering 2000; 190:321332.
  • 16
    Stein K, Benney R, Kalro V, Tezduyar TE, Leonard J, Accorsi M. Parachute fluid–structure interactions: 3-D computation. Computer Methods in Applied Mechanics and Engineering 2000; 190:373386.
  • 17
    Tezduyar T, Osawa Y. Fluid–structure interactions of a parachute crossing the far wake of an aircraft. Computer Methods in Applied Mechanics and Engineering 2001; 191:717726.
  • 18
    Ohayon R. Reduced symmetric models for modal analysis of internal structural-acoustic and hydroelastic-sloshing systems. Computer Methods in Applied Mechanics and Engineering 2001; 190:30093019.
  • 19
    Tezduyar TE. Computation of moving boundaries and interfaces and stabilization parameters. International Journal for Numerical Methods in Fluids 2003; 43:555575.
  • 20
    Michler C, van Brummelen EH, Hulshoff SJ, de Borst R. The relevance of conservation for stability and accuracy of numerical methods for fluid–structure interaction. Computer Methods in Applied Mechanics and Engineering 2003; 192:41954215.
  • 21
    Gerbeau J-F, Vidrascu M. A quasi-Newton algorithm based on a reduced model for fluid–structure interaction problems in blood flows. Mathematical Modelling and Numerical Analysis 2003; 37:663680.
  • 22
    Tezduyar TE, Sathe S, Keedy R, Stein K. Space–time techniques for finite element computation of flows with moving boundaries and interfaces. In Proceedings of the III International Congress on Numerical Methods in Engineering and Applied Science, CD-ROM, Monterrey, Mexico, Gallegos S, Herrera I, Botello S, Zarate F, Ayala G (eds), 2004.
  • 23
    Hubner B, Walhorn E, Dinkler D. A monolithic approach to fluid–structure interaction using space–time finite elements. Computer Methods in Applied Mechanics and Engineering 2004; 193:20872104.
  • 24
    Michler C, van Brummelen EH, Hulshoff SJ, de Borst R. A monolithic approach to fluid–structure interaction. Computers and Fluids 2004; 33:839848.
  • 25
    Tezduyar TE, Sathe S, Senga M, Aureli L, Stein K, Griffin B. Finite element modeling of fluid–structure interactions with space–time and advanced mesh update techniques. Proceedings of the 10th International Conference on Numerical Methods in Continuum Mechanics (CD-ROM), Zilina, Slovakia, 2005.
  • 26
    van Brummelen EH, de Borst R. On the nonnormality of subiteration for a fluid–structure interaction problem. SIAM Journal on Scientific Computing 2005; 27:599621.
  • 27
    Michler C, van Brummelen EH, de Borst R. An interface Newton–Krylov solver for fluid–structure interaction. International Journal for Numerical Methods in Fluids 2005; 47:11891195.
  • 28
    Fernandez MA, Moubachir M. A Newton method using exact Jacobians for solving fluid–structure coupling. Computers and Structures 2005; 83:127142.
  • 29
    Tezduyar TE, Sathe S, Keedy R, Stein K. Space–time finite element techniques for computation of fluid–structure interactions. Computer Methods in Applied Mechanics and Engineering 2006; 195:20022027.
  • 30
    Tezduyar TE, Sathe S, Stein K. Solution techniques for the fully-discretized equations in computation of fluid–structure interactions with the space–time formulations. Computer Methods in Applied Mechanics and Engineering 2006; 195:57435753.
  • 31
    Masud A, Khurram RA. A multiscale finite element method for the incompressible Navier–Stokes equations. Computer Methods in Applied Mechanics and Engineering 2006; 195:17501777.
  • 32
    Khurram RA, Masud A. A multiscale/stabilized formulation of the incompressible Navier–Stokes equations for moving boundary flows and fluid–structure interaction. Computational Mechanics 2006; 38:403416.
  • 33
    Masud A. Effects of mesh motion on the stability and convergence of ALE based formulations for moving boundary flows. Computational Mechanics 2006; 38:430439.
  • 34
    Kuttler U, Forster C, Wall WA. A solution for the incompressibility dilemma in partitioned fluid–structure interaction with pure Dirichlet fluid domains. Computational Mechanics 2006; 38:417429.
  • 35
    Dettmer W, Peric D. A computational framework for fluid–rigid body interaction: finite element formulation and applications. Computer Methods in Applied Mechanics and Engineering 2006; 195:16331666.
  • 36
    Tezduyar TE, Sathe S, Stein K, Aureli L. Modeling of fluid–structure interactions with the space–time techniques. In Fluid–Structure Interaction, BungartzH-J, SchaferM (eds), Lecture Notes in Computational Science and Engineering, vol. 53. Springer: Berlin, 2006; 5081.
  • 37
    Lohner R, Cebral JR, Yang C, Baum JD, Mestreau EL, Soto O. Extending the range of applicability of the loose coupling approach for FSI simulations. In Fluid–Structure Interaction, BungartzHJ, SchaferM (eds), Lecture Notes in Computational Science and Engineering, vol. 53. Springer: Berlin, 2006; 82100.
  • 38
    Wall WA, Gerstenberger A, Gamnitzer P, Forster C, Ramm E. Large deformation fluid–structure interaction–advances in ALE methods and new fixed grid approaches. In Fluid–Structure Interaction, BungartzH-J, SchaferM (eds), Lecture Notes in Computational Science and Engineering, vol. 53. Springer: Berlin, 2006; 195232.
  • 39
    Bletzinger K-U, Wuchner R, Kupzok A. Algorithmic treatment of shells and free form-membranes in FSI. In Fluid–Structure Interaction, BungartzH-J, SchaferM (eds), Lecture Notes in Computational Science and Engineering, vol. 53. Springer: Berlin, 2006; 336355.
  • 40
    Dettmer W, Peric D. A computational framework for fluid–structure interaction: finite element formulation and applications. Computer Methods in Applied Mechanics and Engineering 2006; 195:57545779.
  • 41
    Masud A, Bhanabhagvanwala M, Khurram RA. An adaptive mesh rezoning scheme for moving boundary flows and fluid–structure interaction. Computers and Fluids 2007; 36:7791.
  • 42
    Sawada T, Hisada T. Fluid–structure interaction analysis of the two dimensional flag-in-wind problem by an interface tracking ALE finite element method. Computers and Fluids 2006; 36:136146.
  • 43
    Wall WA, Genkinger S, Ramm E. A strong coupling partitioned approach for fluid–structure interaction with free surfaces. Computers and Fluids 2007; 36:169183.
  • 44
    Hughes TJR, Liu WK, Zimmermann TK. Lagrangian–Eulerian finite element formulation for incompressible viscous flows. Computer Methods in Applied Mechanics and Engineering 1981; 29:329349.
  • 45
    Hughes TJR, Brooks AN. A multi-dimensional upwind scheme with no crosswind diffusion. In Finite Element Methods for Convection Dominated Flows, HughesTJR (ed.). AMD-vol. 34. ASME: New York, 1979; 1935.
  • 46
    Brooks AN, Hughes TJR. Streamline upwind/Petrov–Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier–Stokes equations. Computer Methods in Applied Mechanics and Engineering 1982; 32:199259.
  • 47
    Tezduyar TE, Mittal S, Ray SE, Shih R. Incompressible flow computations with stabilized bilinear and linear equal-order-interpolation velocity–pressure elements. Computer Methods in Applied Mechanics and Engineering 1992; 95:221242.
  • 48
    Hughes TJR, Franca LP, Balestra M. A new finite element formulation for computational fluid dynamics: V. Circumventing the Babuška–Brezzi condition: a stable Petrov–Galerkin formulation of the Stokes problem accommodating equal-order interpolations. Computer Methods in Applied Mechanics and Engineering 1986; 59:8599.
  • 49
    Hulbert TJR, Hughes GM. Space–time finite element methods for elastodynamics: formulations and error estimates. Computer Methods in Applied Mechanics and Engineering 1988; 66:339363.
  • 50
    Tezduyar TE, Behr M, Mittal S, Johnson AA. Computation of unsteady incompressible flows with the finite element methods—space–time formulations, iterative strategies and massively parallel implementations. New Methods in Transient Analysis, PVP-vol. 246/AMD-vol. 143. ASME: New York, 1992; 724.
  • 51
    Johnson AA, Tezduyar TE. Mesh update strategies in parallel finite element computations of flow problems with moving boundaries and interfaces. Computer Methods in Applied Mechanics and Engineering 1994; 119:7394.
  • 52
    Tezduyar TE. Finite element methods for flow problems with moving boundaries and interfaces. Archives of Computational Methods in Engineering 2001; 8:83130.
  • 53
    Tezduyar TE, Sathe S. Modeling of fluid–structure interactions with the space–time finite elements: solution techniques. International Journal for Numerical Methods in Fluids 2007; 54:855900.
  • 54
    Hughes TJR. Personal communication, February 2007.
  • 55
    Tezduyar TE, Cragin T, Sathe S, Nanna B. Arterial fluid mechanics with the SSTFSI technique and continuum element made of hyperelastic (Mooney–Rivlin) material. In Coupled Problems 2007, OnateE, PapadrakakisM, SchreflerB (eds). CIMNE: Barcelona, Spain, 2007.
  • 56
    Prendergast PJ, Lally C, Daly S, Reid AJ, Lee TC, Quinn D, Dolan F. Analysis of prolapse in cardiovascular stents: a constitutive equation for vascular tissue and finite-element modelling. Journal of Biomechanical Engineering 2003; 125:692699.
  • 57
    Tezduyar TE, Cragin T, Sathe S, Nanna B. FSI computations in arterial fluid mechanics with estimated zero-pressure arterial geometry. In Marine 2007, OnateE, GarciaJ, BerganP, KvamsdalT (eds). CIMNE: Barcelona, Spain, 2007.
  • 58
    Tezduyar TE, Schwaab M, Sathe S. Arterial fluid mechanics with the sequentially-coupled arterial FSI technique. In Coupled Problems 2007, OnateE, PapadrakakisM, SchreflerB (eds). CIMNE: Barcelona, Spain, 2007.
  • 59
    Wells Jr RE, Merrill EW. Shear rate dependence of the viscosity of whole blood and plasma. Science 1961; 133:763764.
  • 60
    Betsch P, Gruttmann F, Stein E. A 4-node finite shell element for the implementation of general hyperelastic 3d-elasticity at finite strains. Computer Methods in Applied Mechanics and Engineering 1996; 130:5779.
  • 61
    Stuparu M. Human heart valves. Hyperelastic material modeling. Proceedings of the X-th Conference on Mechanical Vibrations, Timisoara, Romania, 2002.
  • 62
    Tezduyar TE, Osawa Y. Finite element stabilization parameters computed from element matrices and vectors. Computer Methods in Applied Mechanics and Engineering 2000; 190:411430.
  • 63
    Tezduyar TE. Finite element methods for fluid dynamics with moving boundaries and interfaces. In Encyclopedia of Computational Mechanics, Volume 3: Fluids, Chapter 17, SteinE, De BorstR, HughesTJR (eds). Wiley: New York, 2004.
  • 64
    Tezduyar TE. Finite elements in fluids: stabilized formulations and moving boundaries and interfaces. Computers and Fluids 2007; 36:191206.
  • 65
    Lo A. Nonlinear dynamic analysis of cable and membrane structure. Ph.D. Thesis, Department of Civil Engineering, Oregon State University, 1982.
  • 66
    Benney RJ, Stein KR, Leonard JW, Accorsi ML. Current 3-D structural dynamic finite element modeling capabilities. Proceedings of AIAA 14th Aerodynamic Decelerator Systems Technology Conference, AIAA Paper 97-1506, San Francisco, CA, 1997.
  • 67
    Hilber HM, Hughes TJR, Taylor RL. Improved numerical dissipation for time integration algorithms in structural dynamics. Earthquake Engineering and Structural Dynamics 1977; 5:283292.
  • 68
    Tezduyar T, Aliabadi S, Behr M, Johnson A, Mittal S. Parallel finite-element computation of 3D flows. Computer 1993; 26:2736.
  • 69
    Johnson AA, Tezduyar TE. Simulation of multiple spheres falling in a liquid-filled tube. Computer Methods in Applied Mechanics and Engineering 1996; 134:351373.
  • 70
    Tezduyar T. Finite element interface-tracking and interface-capturing techniques for flows with moving boundaries and interfaces. Proceedings of the ASME Symposium on Fluid-Physics and Heat Transfer for Macro- and Micro-scale Gas–liquid and Phase-change Flows (CD-ROM), ASME Paper IMECE2001/HTD-24206. ASME: New York, NY, 2001.
  • 71
    Tezduyar TE. Stabilized finite element formulations and interface-tracking and interface-capturing techniques for incompressible flows. In Numerical Simulations of Incompressible Flows, HafezMM (ed.). World Scientific: New Jersey, 2003; 221239.
  • 72
    Stein K, Tezduyar T, Benney R. Mesh moving techniques for fluid–structure interactions with large displacements. Journal of Applied Mechanics 2003; 70:5863.
  • 73
    Stein K, Tezduyar T. Advanced mesh update techniques for problems involving large displacements. Proceedings of the Fifth World Congress on Computational Mechanics, On-line publication: http://wccm.tuwien.ac.at/, Paper-ID: 81489, Vienna, Austria, 2002.
  • 74
    Stein K, Tezduyar TE, Benney R. Automatic mesh update with the solid-extension mesh moving technique. Computer Methods in Applied Mechanics and Engineering 2004; 193:20192032.
  • 75
    Lynch DR. Wakes in liquid–liquid systems. Journal of Computational Physics 1982; 47:387411.
  • 76
    Masud A, Hughes TJR. A space–time Galerkin/least-squares finite element formulation of the Navier–Stokes equations for moving domain problems. Computer Methods in Applied Mechanics and Engineering 1997; 146:91126.
  • 77
    Fujisawa T, Inaba M, Yagawa G. Parallel computing of high-speed compressible flows using a node-based finite element method. International Journal for Numerical Methods in Fluids 2003; 58:481511.
  • 78
    Tezduyar TE. Stabilized finite element methods for computation of flows with moving boundaries and interfaces. Lecture Notes on Finite Element Simulation of Flow Problems (Basic—Advanced Course). Japan Society of Computational Engineering and Sciences, Tokyo, Japan, 2003.
  • 79
    Tezduyar TE. Stabilized finite element methods for flows with moving boundaries and interfaces. HERMIS: The International Journal of Computer Mathematics and its Applications 2003; 4:6388.
  • 80
    Tezduyar TE. Moving boundaries and interfaces. In Finite Element Methods: 1970's and Beyond, FrancaLP, TezduyarTE, MasudA (eds). CIMNE: Barcelona, Spain, 2004; 205220.
  • 81
    Tezduyar TE. Finite elements in fluids: special methods and enhanced solution techniques. Computers and Fluids 2007; 36:207223.
  • 82
    Saad Y, Schultz M. GMRES: a generalized minimal residual algorithm for solving nonsymmetric linear systems. SIAM Journal on Scientific and Statistical Computing 1986; 7:856869.
  • 83
    Johan Z, Hughes TJR, Shakib F. A globally convergent matrix-free algorithm for implicit time-marching schemes arising in finite element analysis in fluids. Computer Methods in Applied Mechanics and Engineering 1991; 87:281304.
  • 84
    Johan Z, Mathur KK, Johnsson SL, Hughes TJR. A case study in parallel computation: viscous flow around an Onera M6 wing. International Journal for Numerical Methods in Fluids 1995; 21:877884.
  • 85
    Sameh A, Manguoglu M, Sathe S, Tezduyar TE. A nested iterative scheme for nonsymmetric linear systems. In Coupled Problems 2007, OnateE, PapadrakakisM, SchreflerB (eds). CIMNE: Barcelona, Spain, 2007.
  • 86
    Sameh A, Manguoglu M, Sathe S, Pausewang J, Tezduyar TE. Iterative techniques with banded preconditioners for fluid mechanics computations over long domains. In Marine 2007, OnateE, GarciaJ, BerganP, KvamsdalT (eds). CIMNE: Barcelona, Spain, 2007.
  • 87
    Tezduyar TE, Liou J, Ganjoo DK. Incompressible flow computations based on the vorticity-stream function and velocity–pressure formulations. Computers and Structures 1990; 35:445472.
  • 88
    Tezduyar TE, Mittal S, Shih R. Time-accurate incompressible flow computations with quadrilateral velocity–pressure elements. Computer Methods in Applied Mechanics and Engineering 1991; 87:363384.
  • 89
    Sameh A, Sarin V. Hybrid parallel linear solvers. International Journal of Computational Fluid Dynamics 1991; 12:213223.
  • 90
    Sameh A, Sarin V. Parallel algorithms for indefinite linear systems. Parallel Computing 2002; 28:285299.
  • 91
    Womersley JR. Method for the calculation of velocity, rate of flow and viscos drag in arteries when the pressure gradient is known. Journal of Physiology 1955; 127:553563.
  • 92
    Otto F. Die grundform des arteriellen pulses. Zeitung fur Biologie 1899; 37:483586.
  • 93
    Huang H, Virmani R, Younis H, Burke AP, Kamm RD, Lee RT. The impact of calcification on the biomechanical stability of atherosclerotic plaques. Circulation 2001; 103:10511056.
  • 94
    Elguedj T, Bazilevs Y, Calo VM, Hughes TJR. B-bar and F-bar projection methods for nearly incompressible linear and nonlinear elasticity and plasticity using higher-order nurbs elements. Computer Methods in Applied Mechanics and Engineering 2007, submitted.
  • 95
  • 96
  • 97
  • 98
    Li AE, Kamel I, Rando F, Anderson M, Lima JAC, Kumbasar B, Bluemke DA. Using MRI to assess aortic wall thickness in the multiethnic study of atherosclerosis: distribution by race, sex, and age. American Journal of Roentgenology 2004; 182:593597.
  • 99
    Rowland T, Potts J, Potts T, Son-Hing J, Harbison G, Sandor G. Cardiovascular responses to exercise in children and adolescents with myocardial dysfunction. American Heart Journal 1999; 137:126133.