6 papers · 1 filter
A nonlocal coupled system: analysis and discretization
Francisco Bersetche, Enrique Otarola, Daniel Quero
We analyze a nonlocal coupled system arising as the Euler--Lagrange equations of an energy functional involving regional fractional Laplacians of orders and ($ 0 < s_1,…
The spectral fractional Laplacian with measure valued right hand sides: analysis and approximation
Enrique Otarola, Abner J. Salgado
We consider the spectral definition of the fractional Laplace operator and study a basic linear problem involving this operator and singular forcing. In two dimensions, we introduc…
Bilinear optimal control for the Stokes-Brinkman equations: a priori and a posteriori error analyses
Alejandro Allendes, Gilberto Campaña, Enrique Otarola
We analyze a bilinear optimal control problem for the Stokes--Brinkman equations: the control variable enters the state equations as a coefficient. In two- and three-dimensional Li…
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…
Finite element approximation for a convective Brinkman--Forchheimer problem coupled with a heat equation
Gilberto Campaña, Pablo Muñoz, Enrique Otarola
We investigate a convective Brinkman--Forchheimer problem coupled with a heat equation. The investigated model considers thermal diffusion and viscosity depending on the temperatur…
A virtual element method for a convective Brinkman-Forchheimer problem coupled with a heat equation
Danilo Amigo, Felipe Lepe, Enrique Otarola +1
We develop a virtual element method to solve a convective Brinkman-Forchheimer problem coupled with a heat equation. This coupled model may allow for thermal diffusion and viscosit…