18 citations · 30 across the 5 of their papers we have counts for
5 papers
Unconditional bound-preserving and energy-dissipating finite-volume schemes for the Cahn-Hilliard equation
Rafael Bailo, José A. Carrillo, Serafim Kalliadasis +1
We propose finite-volume schemes for the Cahn-Hilliard equation which unconditionally and discretely preserve the boundedness of the phase field and the dissipation of the free ene…
Enhancement of damaged-image prediction through Cahn-Hilliard Image Inpainting
José A. Carrillo, Serafim Kalliadasis, Fuyue Liang +1
We assess the benefit of including an image inpainting filter before passing damaged images into a classification neural network. For this we employ a modified Cahn-Hilliard equati…
High-order well-balanced finite volume schemes for hydrodynamic equations with nonlocal free energy
José A. Carrillo, Manuel J. Castro, Serafim Kalliadasis +1
We propose high-order well-balanced finite-volume schemes for a broad class of hydrodynamic systems with attractive-repulsive interaction forces and linear and nonlinear damping. O…
A Finite-Volume Method for Fluctuating Dynamical Density Functional Theory
Antonio Russo, Sergio P. Perez, Miguel A. Durán-Olivencia +3
We introduce a finite-volume numerical scheme for solving stochastic gradient-flow equations. Such equations are of crucial importance within the framework of fluctuating hydrodyna…
Well-balanced finite volume schemes for hydrodynamic equations with general free energy
José A. Carrillo, Serafim Kalliadasis, Sergio P. Perez +1
Well balanced and free energy dissipative first- and second-order accurate finite volume schemes are proposed for a general class of hydrodynamic systems with linear and nonlinear…