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All issues Volume 43 / No 2 (March-April 2009) ESAIM: M2AN, 43 2 (2009) 377-398 References
Free Access
Issue
ESAIM: M2AN
Volume 43, Number 2, March-April 2009
Page(s) 377 - 398
DOI https://doi.org/10.1051/m2an:2008047
Published online 05 December 2008
  1. I. Babuška, The finite element method with lagrangian multipliers. Numer. Math. 20 (1973) 179–192. [CrossRef] [Google Scholar]
  2. E. Bécache, P. Joly and C. Tsogka, Éléments finis mixtes et condensation de masse en élastodynamique linéaire, (i) Construction. C. R. Acad. Sci. Paris Sér. I 325 (1997) 545–550. [Google Scholar]
  3. E. Bécache, P. Joly and C. Tsogka, An analysis of new mixed finite elements for the approximation of wave propagation problems. SINUM 37 (2000) 1053–1084. [Google Scholar]
  4. E. Bécache, P. Joly and C. Tsogka, Fictitious domains, mixed finite elements and perfectly matched layers for 2d elastic wave propagation. J. Comp. Acoust. 9 (2001) 1175–1203. [Google Scholar]
  5. E. Bécache, P. Joly and C. Tsogka, A new family of mixed finite elements for the linear elastodynamic problem. SINUM 39 (2002) 2109–2132. [Google Scholar]
  6. E. Bécache, A. Chaigne, G. Derveaux and P. Joly, Time-domain simulation of a guitar: Model and method. J. Acoust. Soc. Am. 6 (2003) 3368–3383. [Google Scholar]
  7. E. Bécache, J. Rodríguez and C. Tsogka, On the convergence of the fictitious domain method for wave equation problems. Technical Report RR-5802, INRIA (2006). [Google Scholar]
  8. E. Bécache, J. Rodríguez and C. Tsogka, A fictitious domain method with mixed finite elements for elastodynamics. SIAM J. Sci. Comput. 29 (2007) 1244–1267. [CrossRef] [MathSciNet] [Google Scholar]
  9. J.P. Bérenger, A perfectly matched layer for the absorption of electromagnetic waves. J. Comp. Phys. 114 (1994) 185–200. [CrossRef] [Google Scholar]
  10. F. Brezzi and M. Fortin, Mixed and Hybrid Finite Element Methods. Springer-Verlag, New York (1991). [Google Scholar]
  11. F. Collino and C. Tsogka, Application of the PML absorbing layer model to the linear elastodynamic problem in anisotropic heteregeneous media. Geophysics 66 (2001) 294–307. [Google Scholar]
  12. F. Collino, P. Joly and F. Millot, Fictitious domain method for unsteady problems: Application to electromagnetic scattering. J. Comput. Phys. 138 (1997) 907–938. [CrossRef] [MathSciNet] [Google Scholar]
  13. S. Garcès, Application des méthodes de domaines fictifs à la modélisation des structures rayonnantes tridimensionnelles. Ph.D. Thesis, SupAero, France (1998). [Google Scholar]
  14. V. Girault and R. Glowinski, Error analysis of a fictitious domain method applied to a Dirichlet problem. Japan J. Indust. Appl. Math. 12 (1995) 487–514. [CrossRef] [MathSciNet] [Google Scholar]
  15. V. Girault and P.-A. Raviart, Finite element methods for Navier-Stokes equations - Theory and algorithms, Springer Series in Computational Mathematics 5. Springer-Verlag, Berlin (1986). [Google Scholar]
  16. R. Glowinski, Numerical methods for fluids, Part 3, Chapter 8, in Handbook of Numerical Analysis IX, P.G. Ciarlet and J.L. Lions Eds., North-Holland, Amsterdam (2003) x+1176. [Google Scholar]
  17. R. Glowinski and Y. Kuznetsov, On the solution of the Dirichlet problem for linear elliptic operators by a distributed Lagrange multiplier method. C. R. Acad. Sci. Paris Sér. I Math. 327 (1998) 693–698. [Google Scholar]
  18. R. Glowinski, T.W. Pan and J. Periaux, A fictitious domain method for Dirichlet problem and applications. Comput. Methods Appl. Mech. Engrg. 111 (1994) 283–303. [Google Scholar]
  19. P. Grisvard, Singularities in boundary value problems. Springer-Verlag, Masson (1992). [Google Scholar]
  20. E. Heikkola, Y.A. Kuznetsov, P. Neittaanmäki and J. Toivanen, Fictitious domain methods for the numerical solution of two-dimensional scattering problems. J. Comput. Phys. 145 (1998) 89–109. [CrossRef] [MathSciNet] [Google Scholar]
  21. E. Heikkola, T. Rossi and J. Toivanen, A domain embedding method for scattering problems with an absorbing boundary or a perfectly matched layer. J. Comput. Acoust. 11 (2003) 159–174. [CrossRef] [MathSciNet] [Google Scholar]
  22. E. Hille and R.S. Phillips, Functional analysis and semigroups, Colloquium Publications 31. Rev. edn., Providence, R.I., American Mathematical Society (1957). [Google Scholar]
  23. P. Joly and L. Rhaouti. Analyse numérique - Domaines fictifs, éléments finis H(div) et condition de Neumann : le problème de la condition inf-sup. C. R. Acad. Sci. Paris Sér. I Math. 328 (1999) 1225–1230. [Google Scholar]
  24. Yu.A. Kuznetsov, Fictitious component and domain decomposition methods for the solution of eigenvalue problems, in Computing methods in applied sciences and engineering VII (Versailles, 1985), North-Holland, Amsterdam (1986) 155–172. [Google Scholar]
  25. J.C. Nédélec, A new family of mixed finite elements in . Numer. Math. 50 (1986) 57–81. [CrossRef] [MathSciNet] [Google Scholar]
  26. L. Rhaouti, Domaines fictifs pour la modélisation d'un probème d'interaction fluide-structure : simulation de la timbale. Ph.D. Thesis, Paris IX, France (1999). [Google Scholar]

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