I. Aavatsmark, T. Barkve, O. Boe, T. Mannseth: Discretization on non-orthogonal, quadrilateral grids for inhomogeneous, anisotropic media. J. Comput. Phys. 127 (1996), 2–14.
H. Amann: Time-delayed Perona-Malik type problems. Acta Math. Univ. Comen., New Ser. 76 (2007), 15–38.
S. Bartels, A. Prohl: Stable discretization of scalar and constrained vectorial Perona-Malik equation. Interfaces Free Bound. 9 (2007), 431–453.
G. Bellettini, M. Novaga, M. Paolini, C. Tornese: Convergence of discrete schemes for the Perona-Malik equation. J. Differ. Equations 245 (2008), 892–924.
C. Cancès, T. Gallouët: On the time continuity of entropy solutions. J. Evol. Equ. 11 (2011), 43–55.
F. Catté, P. -L. Lions, J. -M. Morel, T. Coll: Image selective smoothing and edge detection by nonlinear diffusion. SIAM J. Numer. Anal. 29 (1992), 182–193.
R. Čunderlík, K. Mikula, M. Tunega: Nonlinear diffusion filtering of data on the Earth’s surface. J. Geod. 87 (2013), 143–160.
O. Drblíková, A. Handlovičová, K. Mikula: Error estimates of the finite volume scheme for the nonlinear tensor-driven anisotropic diffusion. Appl. Numer. Math. 59 (2009), 2548–2570.
O. Drblíková, K. Mikula: Convergence analysis of finite volume scheme for nonlinear tensor anisotropic diffusion in image processing. SIAMJ. Numer. Anal. 46 (2007), 37–60.
J. Droniou, R. Eymard, T. Gallouët, R. Herbin: A unified approach to mimetic finite difference, hybrid finite volume and mixed finite volume methods. Math. Models Methods Appl. Sci. 20 (2010), 265–295.
R. Eymard, T. Gallouët, R. Herbin: Finite volume methods. Handbook of numerical analysis. Vol. 7: Solution of equations in Rn (Part 3) (P. G. Ciarlet et al., eds.). Techniques of scientific computing (Part 3), North Holland/Elsevier, Amsterdam, 2000, pp. 713–1020.
R. Eymard, T. Gallouët, R. Herbin: Discretization of heterogeneous and anisotropic diffusion problems on general nonconforming meshes SUSHI: a scheme using stabilization and hybrid interfaces. IMA J. Numer. Anal. 30 (2010),, 1009–1043.
R. Eymard, C. Guichard, R. Herbin: Small-stencil 3D schemes for diffusive flows in porous media. ESAIM, Math. Model. Numer. Anal. 46 (2012), 265–290.
R. Eymard, R. Herbin: Gradient scheme approximations for diffusion problems. Finite Volumes for Complex Applications 6: Problems and Perspectives. Vol. 1, 2. Conf. Proc. (J. Fořt et al., eds.). Proceedings in Mathematics 4, Springer, Heidelberg, 2011, pp. 439–447.
R. Eymard, R. Herbin, J. C. Latché: Convergence analysis of a colocated finite volume scheme for the incompressible Navier-Stokes equations on general 2D or 3D meshes. SIAM J. Numer. Anal. 45 (2007), 1–36.
R. Eymard, S. Mercier, A. Prignet: An implicit finite volume scheme for a scalar hyperbolic problem with measure data related to piecewise deterministic Markov processes. J. Comput. Appl. Math. 222 (2008), 293–323.
A. Handlovičová, Z. Krivá: Error estimates for finite volume scheme for Perona-Malik equation. Acta Math. Univ. Comen., New Ser. 74 (2005), 79–94.
A. Handlovičová, K. Mikula, F. Sgallari: Semi-implicit complementary volume scheme for solving level set like equations in image processing and curve evolution. Numer. Math. 93 (2003), 675–695.
K. Mikula, N. Ramarosy: Semi-implicit finite volume scheme for solving nonlinear diffusion equations in image processing. Numer. Math. 89 (2001), 561–590.
P. Perona, J. Malik: Scale-space and edge detection using anisotropic diffusion. IEEE Trans. Pattern Anal. Mach. Intell. 12 (1990), 629–639.
J. Weickert: Coherence-enhancing diffusion filtering. Int. J. Comput. Vis. 31 (1999), 111–127.