6 citations · 6 across the 4 of their papers we have counts for
3 papers · 1 filter
Stability of a leap-frog discontinuous Galerkin method for time-domain Maxwell's equations in anisotropic materials
Adérito Araújo, Sílvia Barbeiro, Maryam Khaksar Ghalati
In this work we discuss the numerical discretization of the time-dependent Maxwell's equations using a fully explicit leap-frog type discontinuous Galerkin method. We present a suf…
Cross-diffusion systems for image processing: II. The nonlinear case
A. Araújo, S. Barbeiro, E. Cuesta +1
In this paper the use of nonlinear cross-diffu\-sion systems to model image restoration is investigated, theoretically and numerically. In the first case, well-posedness, scale-spa…
Cross-diffusion systems for image processing: I. The linear case
A. Araujo, S. Barbeiro, E. Cuesta +1
The use of cross-diffusion systems as mathematical models of different image processes is investigated. The present paper is concerned with linear filtering. First, those systems s…