145 citations · 353 across the 46 of their papers we have counts for
Showing 2015 · math.NAShow all
3 papers · 2 filters
math.NA2015
A PDE Approach to Numerical Fractional Diffusion
Ricardo H. Nochetto, Enrique Otarola, Abner J. Salgado
Fractional diffusion has become a fundamental tool for the modeling of multiscale and heterogeneous phenomena. However, due to its nonlocal nature, its accurate numerical approxima…
math.NA2015
A piecewise linear FEM for an optimal control problem of fractional operators: error analysis on curved domains
Enrique Otarola
We propose and analyze a new discretization technique for a linear-quadratic optimal control problem involving the fractional powers of a symmetric and uniformly elliptic second od…
math.NA2015
Finite element approximation of the parabolic fractional obstacle problem
Enrique Otarola, Abner J. Salgado
We study a discretization technique for the parabolic fractional obstacle problem in bounded domains. The fractional Laplacian is realized as the Dirichlet-to-Neumann map for a non…