15 citations · 19 across the 25 of their papers we have counts for
4 papers · 2 filters
Finite element discretization of weighted -Laplace problems
Enrique Otarola, Abner J. Salgado
We study the finite element approximation of problems involving the weighted -Laplacian, where is an -function and the weight belongs to the class . In particular, w…
A Semi-Analytic Diagonalization FEM for the Spectral Fractional Laplacian
Abner J. Salgado, Shane E. Sawyer
We present a technique for approximating solutions to the spectral fractional Laplacian, which is based on the Caffarelli-Silvestre extension and diagonalization. Our scheme uses t…
Analysis and finite element approximation of a diffuse interface approach to the Stokes--Biot coupling
Francis R. A. Aznaran, Martina Bukač, Boris Muha +1
We consider the interaction between a poroelastic structure, described using the Biot model in primal form, and a free-flowing fluid, modelled with the time-dependent incompressibl…
Monotone two-scale methods for a class of integrodifferential operators and applications
Juan Pablo Borthagaray, Ricardo H. Nochetto, Abner J. Salgado +1
We develop a monotone, two-scale discretization for a class of integrodifferential operators of order , . We apply it to develop numerical schemes, and derive poin…