Discrete duality finite volume schemes for Leray-Lions type elliptic problems on general 2D-meshes, Num. Meth. for PDEs, vol.23, issue.1, pp.145-195, 2007. ,
URL : https://hal.archives-ouvertes.fr/hal-00005779
Space-time domain decomposition with finite volumes for porous media applications, Domain decomposition methods in science and engineering XXI, pp.567-575, 2014. ,
Finite volume method for 2d linear and nonlinear elliptic problems with discontinuities, SIAM J. Numer. Anal, vol.46, 2008. ,
URL : https://hal.archives-ouvertes.fr/hal-00110436
Non-overlapping Schwarz algorithm for solving 2D m-DDFV schemes, IMA Jour. Num. Anal, vol.30, 2009. ,
URL : https://hal.archives-ouvertes.fr/hal-00307185
Nonoverlapping Schwarz algorithm for solving two-dimensional m-DDFV schemes, IMA journal of numerical analysis, vol.30, issue.4, pp.1062-1100, 2010. ,
The discrete duality finite volume method for convection-diffusion problems, SIAM Journal on Numerical Analysis, vol.47, issue.6, pp.4163-4192, 2010. ,
A discrete duality finite volume approach to Hodge decomposition and div-curl problems on almost arbitrary two-dimensional meshes, SIAM J. Numer. Anal, vol.45, issue.3, pp.1142-1174, 2007. ,
URL : https://hal.archives-ouvertes.fr/cea-02341906
A Discrete Duality Finite Volume discretization of the vorticity-velocitypressure formulation of the 2D Stokes problem on almost arbitrary two-dimensional grids, Numer. Methods PDEs, pp.1-30, 2015. ,
Méthodes de décomposition de domaine pour la propagation d'ondes en régime harmonique, 1991. ,
A finite volume method for the Laplace equation on almost arbitrary two-dimensional grids, M2AN Math. Model. Numer. Anal, vol.39, issue.6, pp.1203-1249, 2005. ,
Convergence analysis of finite volume scheme for nonlinear tensor anisotropic diffusion in image processing, SIAM Journal on Numerical Analysis, vol.46, issue.1, pp.37-60, 2007. ,
Anisotropic diffusion in kidney: apparent diffusion coefficient measurements for clinical use, Journal of Magnetic Resonance Imaging: An Official Journal of the International Society for Magnetic Resonance in Medicine, vol.11, issue.2, pp.156-160, 2000. ,
Optimized Schwarz method, SIAM Journal on Numerical Analysis, vol.44, issue.2, pp.699-731, 2006. ,
URL : https://hal.archives-ouvertes.fr/hal-00623843
Schwarz methods over the course of time, Electron. Trans. Numer. Anal, vol.31, issue.5, pp.228-255, 2008. ,
On the influence of geometry on optimized Schwarz methods, SeMA Journal, vol.53, issue.1, pp.71-78, 2011. ,
Optimized Schwarz methods for a diffusion problem with discontinuous coefficient, Numerical Algorithms, vol.69, issue.1, pp.109-144, 2015. ,
DDFV Ventcell Schwarz algorithms, Domain Decomposition Methods in Science and Engineering XXII, pp.481-489, 2016. ,
URL : https://hal.archives-ouvertes.fr/hal-01271251
Optimized Schwarz methods for anisotropic diffusion with discrete duality finite volume discretizations. submitted, 2019. ,
URL : https://hal.archives-ouvertes.fr/hal-01782357
Optimized Schwarz algorithms in the framework of ddfv schemes, Domain Decomposition Methods in Science and Engineering XXI, pp.457-466 ,
URL : https://hal.archives-ouvertes.fr/hal-00839286
, , 2014.
Best Robin parameters for optimized Schwarz methods at cross points, SIAM Journal on Scientific Computing, vol.34, issue.4, pp.1849-1879, 2012. ,
Cross-points in domain decomposition methods with a finite element discretization, Electronic Transactions on Numerical Analysis, vol.45, pp.219-240, 2016. ,
URL : https://hal.archives-ouvertes.fr/hal-00980386
An efficient implementation of a 3D CeVeFE DDFV scheme on cartesian meshes and an application in image processing, Proceedings of the 7th conference on Finite Volumes and Complex Applications, 2014. ,
Fully discrete Schwarz waveform relaxation on two bounded overlapping subdomains, Domain Decomposition Methods in Science and Engineering XXV, LNCSE, 2020. ,
Approximation of diffusion operators with discontinuous tensor coefficients on distorted meshes, Comput. Methods Appl. Mech. Engrg, vol.192, pp.1939-1959, 2003. ,
A finite volume method for the approximation of Maxwell's equations in two space dimensions on arbitrary meshes, J. Comput. Phys, vol.227, issue.22, pp.9365-9388, 2008. ,
Solution of nonlinear diffusion appearing in image smoothing and edge detection, Applied Numerical Mathematics, vol.17, issue.1, pp.47-59, 1995. ,
Schémas Volumes Finis en mécanique des fluides complexes, 2010. ,
On the Schwarz alternating method. III. A variant for nonoverlapping subdomains, Third International Symposium on Domain Decomposition Methods for Partial Differential Equations, pp.202-223, 1989. ,
Optimized domain decomposition methods for the spherical Laplacian, SIAM Journal on Numerical Analysis, vol.48, issue.2, pp.524-551, 2010. ,
Semi-implicit finite volume scheme for solving nonlinear diffusion equations in image processing, Numerische Mathematik, vol.89, issue.3, pp.561-590, 2001. ,
Scale-space and edge detection using anisotropic diffusion. IEEE Transactions on pattern analysis and machine intelligence, vol.12, pp.629-639, 1990. ,
Anisotropic diffusion in layered argillaceous rocks: a case study with opalinus clay. Environmental science & technology, vol.38, pp.5721-5728, 2004. ,
Anisotropic diffusion in image processing, Teubner Stuttgart, vol.1, 1998. ,
Semi-discrete Schwarz waveform relaxation algorithms for reaction diffusion equations, BIT Numerical Mathematics, vol.54, issue.3, pp.831-866, 2014. ,
Optimized waveform relaxation methods for RC circuits: discrete case, ESAIM: Mathematical Modelling and Numerical Analysis, vol.51, issue.1, pp.209-223, 2017. ,