3 papers
math.NA2022
A preconditioned deepest descent algorithm for a class of optimization problems involving the -Laplacian operator
Sergio González-Andrade, María de los Ángeles Silva
In this paper we are concerned with a class of optimization problems involving the -Laplacian operator, which arise in imaging and signal analysis. We study the well-posednes…
math.NA2022
A Discontinuous Galerkin and Semismooth Newton Approach for the Numerical Solution of Bingham Flow with Variable Density
Sergio González-Andrade, Paul E. Méndez Silva
This paper is devoted to the study of Bingham flow with variable density. We propose a local bi-viscosity regularization of the stress tensor based on a Huber smoothing step. Next,…
math.OC2020
Nonsmooth Exact Penalization Second-order Methods for incompressible Bingham flows
Sergio González-Andrade, Sofía López, Pedro Merino
We consider the exact penalization of the incompressibility condition for the velocity field of a Bingham fluid in terms of the -norm. This penalization procedure r…