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, Generalized inverses: Theory and applications, 2003.
Contributionsà la simulation numérique enélastodynamique: découplage des ondes p et s, modèles asymptotiques pour la traversée de couches minces, 2014. ,
Solving the homogeneous isotropic linear elastodynamics equations using potentials and finite elements. The case of the rigid boundary condition, Numerical Analysis and Applications, vol.5, issue.2, pp.136-143, 2012. ,
URL : https://hal.archives-ouvertes.fr/hal-00717160
Solving 2d linear isotropic elastodynamics by means of scalar potentials: a new challenge for finite elements, Journal of Scientific Computing, 2018. ,
URL : https://hal.archives-ouvertes.fr/hal-01803536
, The mathematical theory of finite element methods, vol.15, 2008.
Mixed and hybrid finite element methods, vol.15, 2012. ,
Vector potentials in three-dimensional non-smooth domains, Mathematical Methods in the Applied Sciences, vol.21, issue.9, pp.823-864, 1998. ,
Mathematical analysis and numerical methods for science and technology, 1992. ,
Introduction l'analyse numrique matricielle et l'optimisation, Dunod, 1998. 10. , The finite element method for elliptic problems, 2002. ,
Higher order triangular finite elements with mass lumping for the wave equation, SIAM Journal on Numerical Analysis, vol.38, issue.6, pp.2047-2078, 2001. ,
URL : https://hal.archives-ouvertes.fr/hal-01010373
Analysis of mixed methods using mesh dependent norms, Mathematics of Computation, vol.35, issue.152, pp.1039-1062, 1980. ,
Numerical methods for the first biharmonic equation and the two-dimensional Stokes problem, SIAM Rev, vol.21, issue.2, pp.167-212, 1979. ,
, Finite element methods for navier-stokes equations: theory and algorithms, vol.5, 2012.
P-SV wave propagation in heterogeneous media: Velocity-stress finite-diference method, Geophysics, vol.51, issue.4, pp.889-901, 1986. ,
, Discretization methods and iterative solvers based on domain decomposition, vol.17, 2001.
, 64) with vanishing data, linearity, satisfies
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France E-mail address: patrick.joly@inria.fr Departamento de Matemática Aplicada, 15706. ,