2 citations · 4 across the 19 of their papers we have counts for
5 papers · 2 filters
Maximum-norm a posteriori error estimates for an optimal control problem
Alejandro Allendes, Enrique Otarola, Richard Rankin +1
We analyze a reliable and efficient max-norm a posteriori error estimator for a control-constrained, linear-quadratic optimal control problem. The estimator yields optimal experime…
A posteriori error estimation for finite element approximations of a PDE-constrained optimization problem in fluid dynamics
Alejandro Allendes, Enrique Otarola, Richard Rankin
We derive globally reliable a posteriori error estimators for a PDE-constrained optimization problem involving linear models in fluid dynamics as state equation; control constraint…
Tensor FEM for spectral fractional diffusion
Lehel Banjai, Jens M. Melenk, Ricardo H. Nochetto +3
We design and analyze several Finite Element Methods (FEMs) applied to the Caffarelli-Silvestre extension that localizes the fractional powers of symmetric, coercive, linear ellipt…
Numerical Methods for Fractional Diffusion
Andrea Bonito, Juan Pablo Borthagaray, Ricardo H. Nochetto +2
We present three schemes for the numerical approximation of fractional diffusion, which build on different definitions of such a non-local process. The first method is a PDE approa…
Sparse optimal control for fractional diffusion
Enrique Otárola, Abner J. Salgado
We consider an optimal control problem that entails the minimization of a nondifferentiable cost functional, fractional diffusion as state equation and constraints on the control v…