145 citations · 506 across the 57 of their papers we have counts for
7 papers · 1 filter
Optimization with respect to order in a fractional diffusion model: analysis, approximation and algorithmic aspects
Harbir Antil, Enrique Otarola, Abner J. Salgado
We consider an identification problem, where the state is governed by a fractional elliptic equation and the unknown variable corresponds to the order of the unde…
Numerical analysis of strongly nonlinear PDEs
Michael Neilan, Abner J. Salgado, Wujun Zhang
We review the construction and analysis of numerical methods for strongly nonlinear PDEs, with an emphasis on convex and nonconvex fully nonlinear equations and the convergence to…
An a posteriori error analysis for an optimal control problem with point sources
Alejandro Allendes, Enrique Otarola, Richard Rankin +1
We propose and analyze a reliable and efficient a posteriori error estimator for a constrained linear-quadratic optimal control problem involving Dirac measures; the control variab…
Preconditioned Steepest Descent Methods for some Nonlinear Elliptic Equations Involving p-Laplacian Terms
Wenqiang Feng, Abner J. Salgado, Cheng Wang +1
We describe and analyze preconditioned steepest descent (PSD) solvers for fourth and sixth-order nonlinear elliptic equations that include p-Laplacian terms on periodic domains in…
Adaptive finite element methods for an optimal control problem involving Dirac measures
Alejandro Allendes, Enrique Otarola, Richard Rankin +1
The purpose of this work is the design and analysis of a reliable and efficient a posteriori error estimator for the so-called pointwise tracking optimal control problem. This line…
Stability analysis of pressure correction schemes for the Navier-Stokes equations with traction boundary conditions
Sanghyun Lee, Abner J. Salgado
We present a stability analysis for two different rotational pressure correction schemes with open and traction boundary conditions. First, we provide a stability analysis for a ro…