194
Littérature
52. R. J. DiPerna and P.-L. Lions. Ordinary differential equations, transport theory
and sobolev spaces. Inventiones Mathematicae, 98(3) :511–547, 1989.
53. J. Donea, S. Giuliani, and J. Halleux. An arbitrary lagrangian-eulerian finite element
method for transient dynamic fluid-structure interactions. Computer methods in
applied mechanics and engineering, 33(1) :689–723, 1982.
54. V. Doyeux. Modélisation et simulation de systèmes multi-fluides. Application aux
écoulements sanguins. Thèse de doctorat, Université Grenoble Alpes, 2014.
55. B. Engquist, A.-K. Tornberg, and R. Tsai. Discretization of Dirac delta functions
in level set methods. Journal of Computational Physics, 207(1) :28–51, 2005.
56. D. Enright, R. Fedkiw, J. Ferziger, and I. Mitchell. A hybrid particle level set method
for improved interface capturing. Journal of Computational physics, 183(1) :83–116,
2002.
57. S. Esedoglu, S. Ruuth, R. Tsai, et al. Diffusion generated motion using signed
distance functions. Journal of Computational Physics, 229(4) :1017–1042, 2010.
58. L. C. Evans and R. F. Gariepy. Measure theory and fine properties of functions.
CRC Press, 1992.
59. L. C. Evans and J. Spruck. Motion of level sets by mean curvature. II. Transactions
of the american mathematical society, 330(1) :321–332, 1992.
60. C. Farhat, A. Rallu, and S. Shankaran. A higher-order generalized ghost fluid
method for the poor for the three-dimensional two-phase flow computation of
underwater implosions. Journal of Computational Physics, 227(16) :7674–7700,
2008.
61. N. Favrie, S. Gavrilyuk, and S. Ndanou. A thermodynamically compatible splitting
procedure in hyperelasticity. Journal of Computational Physics, 270(C) :300–324,
2014.
62. N. Favrie, S. Gavrilyuk, and R. Saurel. Solid-fluid diffuse interface model in cases
of extreme deformations. Journal of Computational Physics, 228(16) :6037–6077,
2009.
63. N. Favrie and S. L. Gavrilyuk. Diffuse interface model for compressible fluid –
Compressible elastic-plastic solid interaction. Journal of Computational Physics,
231(7) :2695–2723, 2012.
64. M. Fernández, J.-F. Gerbeau, and C. Grandmont. A projection semi-implicit scheme
for the coupling of an elastic structure with an incompressible fluid. International
Journal for Numerical Methods in Engineering, 69(4) :794–821, 2007.
65. M. A. Fernández. Coupling schemes for incompressible fluid-structure interaction :
implicit, semi-implicit and explicit. SeMA Journal, 55(1) :59–108, 2011.
66. M. A. Fernández. Incremental displacement-correction schemes for incompressible
fluid-structure interaction. Numerische Mathematik, 123(1) :21–65, 2013.
67. M. A. Fernández, J.-F. Gerbeau, and C. Grandmont. A projection algorithm for
fluid–structure interaction problems with strong added-mass effect. Comptes Rendus
Mathematique, 342(4) :279–284, 2006.
68. M. A. Fernández and J. Mullaert. Convergence and error analysis for a class of
splitting schemes in incompressible fluid–structure interaction. IMA Journal of
Numerical Analysis, 36(4) :1748–1782, 2015.
69. M. A. Fernández, J. Mullaert, and M. Vidrascu. Explicit robin–neumann schemes
for the coupling of incompressible fluids with thin-walled structures. Computer
Methods in Applied Mechanics and Engineering, 267 :566–593, 2013.
70. M. A. Fernández, J. Mullaert, and M. Vidrascu. Generalized robin–neumann
explicit coupling schemes for incompressible fluid-structure interaction : Stability
analysis and numerics. International Journal for Numerical Methods in Engineering,
101(3) :199–229, 2015.
Littérature
52. R. J. DiPerna and P.-L. Lions. Ordinary differential equations, transport theory
and sobolev spaces. Inventiones Mathematicae, 98(3) :511–547, 1989.
53. J. Donea, S. Giuliani, and J. Halleux. An arbitrary lagrangian-eulerian finite element
method for transient dynamic fluid-structure interactions. Computer methods in
applied mechanics and engineering, 33(1) :689–723, 1982.
54. V. Doyeux. Modélisation et simulation de systèmes multi-fluides. Application aux
écoulements sanguins. Thèse de doctorat, Université Grenoble Alpes, 2014.
55. B. Engquist, A.-K. Tornberg, and R. Tsai. Discretization of Dirac delta functions
in level set methods. Journal of Computational Physics, 207(1) :28–51, 2005.
56. D. Enright, R. Fedkiw, J. Ferziger, and I. Mitchell. A hybrid particle level set method
for improved interface capturing. Journal of Computational physics, 183(1) :83–116,
2002.
57. S. Esedoglu, S. Ruuth, R. Tsai, et al. Diffusion generated motion using signed
distance functions. Journal of Computational Physics, 229(4) :1017–1042, 2010.
58. L. C. Evans and R. F. Gariepy. Measure theory and fine properties of functions.
CRC Press, 1992.
59. L. C. Evans and J. Spruck. Motion of level sets by mean curvature. II. Transactions
of the american mathematical society, 330(1) :321–332, 1992.
60. C. Farhat, A. Rallu, and S. Shankaran. A higher-order generalized ghost fluid
method for the poor for the three-dimensional two-phase flow computation of
underwater implosions. Journal of Computational Physics, 227(16) :7674–7700,
2008.
61. N. Favrie, S. Gavrilyuk, and S. Ndanou. A thermodynamically compatible splitting
procedure in hyperelasticity. Journal of Computational Physics, 270(C) :300–324,
2014.
62. N. Favrie, S. Gavrilyuk, and R. Saurel. Solid-fluid diffuse interface model in cases
of extreme deformations. Journal of Computational Physics, 228(16) :6037–6077,
2009.
63. N. Favrie and S. L. Gavrilyuk. Diffuse interface model for compressible fluid –
Compressible elastic-plastic solid interaction. Journal of Computational Physics,
231(7) :2695–2723, 2012.
64. M. Fernández, J.-F. Gerbeau, and C. Grandmont. A projection semi-implicit scheme
for the coupling of an elastic structure with an incompressible fluid. International
Journal for Numerical Methods in Engineering, 69(4) :794–821, 2007.
65. M. A. Fernández. Coupling schemes for incompressible fluid-structure interaction :
implicit, semi-implicit and explicit. SeMA Journal, 55(1) :59–108, 2011.
66. M. A. Fernández. Incremental displacement-correction schemes for incompressible
fluid-structure interaction. Numerische Mathematik, 123(1) :21–65, 2013.
67. M. A. Fernández, J.-F. Gerbeau, and C. Grandmont. A projection algorithm for
fluid–structure interaction problems with strong added-mass effect. Comptes Rendus
Mathematique, 342(4) :279–284, 2006.
68. M. A. Fernández and J. Mullaert. Convergence and error analysis for a class of
splitting schemes in incompressible fluid–structure interaction. IMA Journal of
Numerical Analysis, 36(4) :1748–1782, 2015.
69. M. A. Fernández, J. Mullaert, and M. Vidrascu. Explicit robin–neumann schemes
for the coupling of incompressible fluids with thin-walled structures. Computer
Methods in Applied Mechanics and Engineering, 267 :566–593, 2013.
70. M. A. Fernández, J. Mullaert, and M. Vidrascu. Generalized robin–neumann
explicit coupling schemes for incompressible fluid-structure interaction : Stability
analysis and numerics. International Journal for Numerical Methods in Engineering,
101(3) :199–229, 2015.