A conservative penalisation strategy for the semi-implicit time discretisation of the incompressible elastodynamics equation, Advanced Modeling and Simulation in Engineering Sciences, vol.5, issue.1, p.30, 2018. ,
URL : https://hal.archives-ouvertes.fr/hal-01907746
Mixed finite element methods and applications, vol.44, 2013. ,
Numerical solution of the Navier-Stokes equations, Mathematics of computation, vol.22, issue.104, pp.745-762, 1968. ,
On the convergence of discrete approximations to the Navier-Stokes equations, Mathematics of computation, vol.23, issue.106, pp.341-353, 1969. ,
Une méthode d'approximation de la solution des équations de Navier-Stokes, Bull. Soc. Math. France, vol.98, issue.4, pp.115-152, 1968. ,
, Navier-Stokes equations: theory and numerical analysis, vol.343, 2001.
On the approximation of the unsteady Navier-Stokes equations by finite element projection methods, Numerische Mathematik, vol.80, issue.2, pp.207-238, 1998. ,
On stability and convergence of projection methods based on pressure Poisson equation, International Journal for Numerical Methods in Fluids, vol.26, issue.9, pp.1039-1053, 1998. ,
An overview of projection methods for incompressible flows, Computer methods in applied mechanics and engineering, vol.195, pp.6011-6045, 2006. ,
A high-order spectral element fast fourier transform for the poisson equation, SIAM Journal on Scientific Computing, vol.41, issue.5, 2019. ,
Un résultat de convergence d'ordre deux en temps pour l'approximation des équations de Navier-Stokes par une technique de projection incrémentale, ESAIM: Mathematical Modelling and Numerical Analysis, vol.33, issue.1, pp.169-189, 1999. ,
Finite element approximation of the Navier-Stokes equations, 1979. ,
Elliptic Problems in Nonsmooth Domains, 1985. ,
Mathematical elasticity, of studies in mathematics and its applications, vol.20, 1988. ,
URL : https://hal.archives-ouvertes.fr/hal-01077424
, Sobolev spaces, vol.140, 2003.
Effective Computational Methods for Wave Propagation, Numerical Insights, 2008. ,
Mathematical modelling and numerical simulation of elastic wave propagation in soft tissues with application to cardiac elastography, 2019. ,
URL : https://hal.archives-ouvertes.fr/tel-02262282
, Finite element methods for Maxwell's equations, 2003.
, Partial differential equations, 2010.
Linear finite element methods for planar linear elasticity, Mathematics of Computation, vol.59, pp.321-338, 1992. ,
A regularity result for the stokes problem in a convex polygon, Journal of Functional Analysis, vol.21, issue.4, pp.397-431, 1976. ,
Decomposition of vector spaces and application to the stokes problem in arbitrary dimension, Czechoslovak Mathematical Journal, vol.44, issue.1, pp.109-140, 1994. ,
Mixed spectral finite elements for the linear elasticity system in unbounded domains, SIAM Journal on Scientific Computing, vol.26, issue.3, pp.864-884, 2005. ,
URL : https://hal.archives-ouvertes.fr/hal-00982991
Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions ii, Communications on Pure and Applied Mathematics, vol.17, issue.1, pp.35-92, 1964. ,
Corner Singularities and Analytic Regularity for Linear Elliptic Systems. Part I: Smooth domains., hal-00453934v2, 2010. ,
URL : https://hal.archives-ouvertes.fr/hal-00453934
, Mathematical Foundations of Elasticity, 1994.