Least-squares finite element methods, Applied Mathematical Sciences, vol.166, 2009. ,
On the numerical solution of nonlinear problems in fluid dynamics by least squares and finite element methods. I. Least square formulations and conjugate gradient, Comput. Methods Appl. Mech. Engrg, vol.17, pp.619-657, 1979. ,
Implicitly preconditioned and globalized residual method for solving steady fluid flows, Electron. Trans. Numer. Anal, vol.34, issue.09, pp.136-151, 2008. ,
Compensated compactness and Hardy spaces, J. Math. Pures Appl, issue.9, pp.247-286, 1993. ,
Newton methods for nonlinear problems, Affine invariance and adaptive algorithms, vol.35, 2011. ,
Wall-driven incompressible viscous flow in a two-dimensional semi-circular cavity, J. Comput. Phys, vol.216, issue.1, pp.76-91, 2006. ,
URL : https://hal.archives-ouvertes.fr/hal-00113341
H ?1 least squares method for the Navier-Stokes equations, Numerical methods in laminar and turbulent flow (Proc. First Internat. Conf., Univ. College Swansea, pp.29-42, 1978. ,
, Finite element methods for incompressible viscous flow, vol.9, pp.3-1176, 2003.
New development in freefem++, J. Numer. Math, vol.20, issue.3-4, pp.251-265, 2012. ,
URL : https://hal.archives-ouvertes.fr/hal-01476313
Analysis of continuous H ?1 -least-squares approaches for the steady Navier-Stokes system ,
Approximation of null controls for sublinear parabolic equations using a least-squares approach, 2019. ,
Resolution of implicit time schemes for the Navier-Stokes system through a least-squares method ,
URL : https://hal.archives-ouvertes.fr/hal-01996429
Quelques méthodes de résolution des problèmes aux limites non linéaires, Dunod, 1969. ,
A variational approach to Navier-Stokes, Nonlinearity, vol.31, issue.12, pp.5664-5682, 2018. ,
A variational approach for the Navier-Stokes system, J. Math. Fluid Mech, vol.14, issue.1, pp.159-176, 2012. ,
Finite element methods for fluids ,
Translated from the French, 1989. ,
Numerical approximation of partial differential equations, Springer Series in Computational Mathematics, vol.23, 1994. ,
A damped Newton algorithm for computing viscoplastic fluid flows, J. Non-Newton. Fluid Mech, vol.238, pp.6-15, 2016. ,
URL : https://hal.archives-ouvertes.fr/hal-01228347
Nonhomogeneous viscous incompressible fluids: Existence of velocity, density, and pressure, SIAM J. Math. Anal, vol.21, issue.5, p.35159, 1990. ,
An introduction to Navier-Stokes equation and oceanography, Lecture Notes of the Unione Matematica Italiana, vol.1, 2006. ,
Theory and numerical analysis, 2001. ,