192
Littérature
14. D. Boffi, L. Gastaldi, and L. Heltai. Stability results and algorithmic strategies
for the finite element approach to the immersed boundary method. In Numerical
mathematics and advanced applications, pages 575–582. Springer, 2006.
15. D. Boffi, L. Gastaldi, and L. Heltai. Numerical stability of the finite element
immersed boundary method. Mathematical Models and Methods in Applied Sciences,
17(10) :1479–1505, 2007.
16. D. Boffi, L. Gastaldi, L. Heltai, and C. S. Peskin. On the hyper-elastic formulation
of the immersed boundary method. Computer Methods in Applied Mechanics and
Engineering, 197(25) :2210 – 2231, 2008.
17. J. A. Bogovic, J. L. Prince, and P.-L. Bazin. A multiple object geometric deformable model for image segmentation. Computer Vision and Image Understanding,
117(2) :145–157, 2013.
18. L. Boilevin-Kayl, M. A. Fernández, and J.-F. Gerbeau. A loosely coupled scheme
for fictitious domain approximations of fluid-structure interaction problems with immersed thin-walled structures. SIAM Journal on Scientific Computing, 41(2) :B351–
B374, 2019.
19. C. Bost, G.-H. Cottet, and E. Maitre. Linear stability analysis of a Level Set
model of immersed elastic membrane. Unpublished. Preprint HAL http: // hal.
archives-ouvertes. fr/ hal-00388528/ PDF/ stability. pdf , 2009.
20. C. Bost, G.-H. Cottet, and E. Maitre. Convergence analysis of a penalization
method for the three-dimensional motion of a rigid body in an incompressible
viscous fluid. SIAM Journal on Numerical Analysis, 48(4) :1313–1337, 2010.
21. J. Brackbill, D. B. Kothe, and C. Zemach. A continuum method for modeling
surface tension. Journal of computational physics, 100(2) :335–354, 1992.
22. Y. Brenier. Optimal transport, convection, magnetic relaxation and generalized
boussinesq equations. Journal of nonlinear science, 19(5) :547–570, 2009.
23. D. Bresch, T. Colin, E. Grenier, B. Ribba, and O. Saut. Computational modeling
of solid tumor growth : the avascular stage. SIAM Journal on Scientific Computing,
32(4) :2321–2344, 2010.
24. P. Burchard, L.-T. Cheng, B. Merriman, and S. Osher. Motion of curves in three
spatial dimensions using a level set approach. Journal of Computational Physics,
170(2) :720–741, 2001.
25. L. Caffarelli, R. Kohn, and L. Nirenberg. Partial regularity of suitable weak solutions
of the navier-stokes equations. Communications on pure and applied mathematics,
35(6) :771–831, 1982.
26. J.-P. Caltagirone. Sur l’interaction fluide-milieu poreux ; application au calcul des
efforts exercés sur un obstacle par un fluide visqueux. Comptes rendus de l’Académie
des sciences. Série II, Mécanique, physique, chimie, astronomie, 318(5) :571–577,
1994.
27. M.-P. Cani and M. Debrun. Animation of deformable objects using implicit surfaces.
IEEE Trans. Visualization Comput. Graphics, 3(1) :39–50, 1997.
28. H. Cartan. Cours de calcul différentiel. Hermann, 1977.
29. M. Castro, B. Costa, and W. S. Don. High order weighted essentially non-oscillatory
WENO-Z schemes for hyperbolic conservation laws. Journal of Computational
Physics, 230(5) :1766–1792, 2011.
30. Y. Chang, T. Hou, B. Merriman, and S. Osher. A level set formulation of eulerian
interface capturing methods for incompressible fluid flows. Journal of Computational
Physics, 124 :449–464, 1996.
31. L.-T. Cheng and Y.-H. Tsai. Redistancing by flow of time dependent eikonal
equation. Journal of Computational Physics, 227(8) :4002–4017, 2008.
Littérature
14. D. Boffi, L. Gastaldi, and L. Heltai. Stability results and algorithmic strategies
for the finite element approach to the immersed boundary method. In Numerical
mathematics and advanced applications, pages 575–582. Springer, 2006.
15. D. Boffi, L. Gastaldi, and L. Heltai. Numerical stability of the finite element
immersed boundary method. Mathematical Models and Methods in Applied Sciences,
17(10) :1479–1505, 2007.
16. D. Boffi, L. Gastaldi, L. Heltai, and C. S. Peskin. On the hyper-elastic formulation
of the immersed boundary method. Computer Methods in Applied Mechanics and
Engineering, 197(25) :2210 – 2231, 2008.
17. J. A. Bogovic, J. L. Prince, and P.-L. Bazin. A multiple object geometric deformable model for image segmentation. Computer Vision and Image Understanding,
117(2) :145–157, 2013.
18. L. Boilevin-Kayl, M. A. Fernández, and J.-F. Gerbeau. A loosely coupled scheme
for fictitious domain approximations of fluid-structure interaction problems with immersed thin-walled structures. SIAM Journal on Scientific Computing, 41(2) :B351–
B374, 2019.
19. C. Bost, G.-H. Cottet, and E. Maitre. Linear stability analysis of a Level Set
model of immersed elastic membrane. Unpublished. Preprint HAL http: // hal.
archives-ouvertes. fr/ hal-00388528/ PDF/ stability. pdf , 2009.
20. C. Bost, G.-H. Cottet, and E. Maitre. Convergence analysis of a penalization
method for the three-dimensional motion of a rigid body in an incompressible
viscous fluid. SIAM Journal on Numerical Analysis, 48(4) :1313–1337, 2010.
21. J. Brackbill, D. B. Kothe, and C. Zemach. A continuum method for modeling
surface tension. Journal of computational physics, 100(2) :335–354, 1992.
22. Y. Brenier. Optimal transport, convection, magnetic relaxation and generalized
boussinesq equations. Journal of nonlinear science, 19(5) :547–570, 2009.
23. D. Bresch, T. Colin, E. Grenier, B. Ribba, and O. Saut. Computational modeling
of solid tumor growth : the avascular stage. SIAM Journal on Scientific Computing,
32(4) :2321–2344, 2010.
24. P. Burchard, L.-T. Cheng, B. Merriman, and S. Osher. Motion of curves in three
spatial dimensions using a level set approach. Journal of Computational Physics,
170(2) :720–741, 2001.
25. L. Caffarelli, R. Kohn, and L. Nirenberg. Partial regularity of suitable weak solutions
of the navier-stokes equations. Communications on pure and applied mathematics,
35(6) :771–831, 1982.
26. J.-P. Caltagirone. Sur l’interaction fluide-milieu poreux ; application au calcul des
efforts exercés sur un obstacle par un fluide visqueux. Comptes rendus de l’Académie
des sciences. Série II, Mécanique, physique, chimie, astronomie, 318(5) :571–577,
1994.
27. M.-P. Cani and M. Debrun. Animation of deformable objects using implicit surfaces.
IEEE Trans. Visualization Comput. Graphics, 3(1) :39–50, 1997.
28. H. Cartan. Cours de calcul différentiel. Hermann, 1977.
29. M. Castro, B. Costa, and W. S. Don. High order weighted essentially non-oscillatory
WENO-Z schemes for hyperbolic conservation laws. Journal of Computational
Physics, 230(5) :1766–1792, 2011.
30. Y. Chang, T. Hou, B. Merriman, and S. Osher. A level set formulation of eulerian
interface capturing methods for incompressible fluid flows. Journal of Computational
Physics, 124 :449–464, 1996.
31. L.-T. Cheng and Y.-H. Tsai. Redistancing by flow of time dependent eikonal
equation. Journal of Computational Physics, 227(8) :4002–4017, 2008.