Publications

Papers in peer-reviewed journals

2009

• Convergence results of the fictitious domain method for a mixed formulation of the wave equation with a Neumann boundary condition
  Éliane Bécache, Jerónimo Rodríguez and Chrysoula Tsogka
  Mathematical Modelling and Numerical Analysis, vol. 43 (2), pp. 377--398, 2009   
• The Fictitious domain method and applications in wave propagation. Part A and B: The acoustic and the elastic case.
  Éliane Bécache, Jerónimo Rodríguez and Chrysoula Tsogka
  ECCOMAS Thematic Conference, COMPDYN (Computational Methods in Structural Dynamics & Earthquake Engineering), 2009   

2007

• A fictitious domain method with mixed finite elements for elastodynamics
  Éliane Bécache, Jerónimo Rodríguez and Chrysoula Tsogka
  SIAM J. Sci. Comput., vol. 29 (3), pp. 1244--1267, may, 2007   

2002

• A new family of mixed finite elements for the linear elastodynamic problem
  Éliane Bécache, Patrick Joly and Chrysoula Tsogka
  SIAM Journal on Numerical Analysis, vol. 39(6), pp. 2109-2132, 2002   

2001

• Fictitious domains, mixed finite elements and perfectly matched layers for 2-D elastic wave propagation.
  Éliane Bécache, Patrick Joly and Chrysoula Tsogka
  J. Comput. Acoust., vol. 9, no. 3, pp. 1175--1201, 2001   

2000

• An analysis of new mixed finite elements for the approximation of wave propagation problems.
  Éliane Bécache, Patrick Joly and Chrysoula Tsogka
  SIAM J. Numer. Anal., vol. 37, no. 4, pp. 1053--1084, 2000   

1997

• Éléments finis mixtes et condensation de masse en élastodynamique linéaire. I. Construction.
  Éliane Bécache, Patrick Joly et Chrysoula Tsogka
  C. R. Acad. Sci. Paris Sér. I Math., vol. 325, no. 5, pp. 545--550, 1997   
• Étude d'un nouvel élément fini mixte permettant la condensation de masse.
  Éliane Bécache, Patrick Joly and Chrysoula Tsogka
  C. R. Acad. Sci. Paris Sér. I Math., vol. 324, no. 11, pp. 1281--1286, 1997   

Chapters

2008

• Fictitious domains methods for wave diffraction. ``Effective computational methods for wave propagation'',
  Patrick Joly and Chrysoula Tsogka
  Numer. Insights, vol. 5, pp. 359--384, Chapman & Hall/CRC, 2008   
• Finite element methods with discontinuous displacement. ``Effective computational methods for wave propagation'',
  Patrick Joly and Chrysoula Tsogka
  Numer. Insights, vol. 5, pp. 331--357, Chapman & Hall/CRC, 2008   
• Numerical methods for treating unbounded media. "Effective computational methods for wave propagation",
  Patrick Joly and Chrysoula Tsogka
  Numer. Insights, vol. 5, pp. 425--472, Chapman & Hall/CRC, 2008   

International conference with proceedings

1998

• Fictitious domain method applied to the scattering by a crack of transient elastic waves in anisotropic media: a new family of mixed finite elements leading to explicit schemes
  Éliane Bécache, Patrick Joly and Chrysoula Tsogka
  pp. 322-326, Fourth Int. Conf. on Mathematical and numerical aspects of wave propagation (Golden, CO, 1998), SIAM, Philadelphia, PA, 1998, 1998   

Research reports

2006

• On the convergence of the fictitious domain method for wave propagation problems
  Éliane Bécache, Jerónimo Rodríguez and Chrysoula Tsogka
  Technical Report 5802 INRIA, pp. 37, jan, 2006   

1999

• Recent Developments in Mixed Finite Elements for Elastodynamics in Complex Media
  Éliane Bécache, Patrick Joly and Chrysoula Tsogka
  Rapport annuel, Consortium SIGMA (Seismic Inversion, Geophysical Modeling and Applications), 1999   

1998

• New finite elements for the linear elatodynamics problem
  Éliane Bécache, Patrick Joly and Chrysoula Tsogka
  Rapport annuel, Consortium SIGMA (Seismic Inversion, Geophysical Modeling and Applications), 1998   

Lecture note

2001

• Méthodes numériques : Éléments finis mixtes et méthode des domaines fictifs pour l'élastodynamique
  Éliane Bécache, Patrick Joly and Chrysoula Tsogka
  pp. 3--129, Ecole des Ondes : Ondes élastiques dans les solides, nov, 2001    [ ]