A. Salgado

works on

bounded domains 1 elliptic equations 1 interpolation theory 1 nonlocal operators 1 parabolic equations 1 self-improving estimates 1

From the 1 of 13 linked papers with an AI index.

activity

20242026

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3 papers · 1 filter

math.OC2025

A perturbed preconditioned gradient descent method for the unconstrained minimization of composite objectives

Jea-Hyun Park, Abner J. Salgado, Steven M. Wise

We introduce a perturbed preconditioned gradient descent (PPGD) method for the unconstrained minimization of a strongly convex objective $G$ with a locally Lipschitz continuous gra…

math.NA2025

Finite element approximation to linear, second order, parabolic problems with $L^{1}$ data

Gabriel Barrenechea, Abner J. Salgado

We consider the approximation to the solution of the initial boundary value problem for the heat equation with right hand side and initial condition that merely belong to $L^{1}$ . Du…

math.NA2025

Finite element discretization of weighted $I^¦$ -Laplace problems

Enrique Otarola, Abner J. Salgado

We study the finite element approximation of problems involving the weighted $I^¦$ -Laplacian, where $I^¦$ is an $N$ -function and the weight belongs to the class $A_{I^} ¦$ . In particular…

A perturbed preconditioned gradient descent method for the unconstrained minimization of composite objectives

Finite element approximation to linear, second order, parabolic problems with L1 data

Finite element discretization of weighted I^¦-Laplace problems

Finite element approximation to linear, second order, parabolic problems with $L^{1}$ data

Finite element discretization of weighted $I^¦$ -Laplace problems