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20122024
most citedAdjoint method for a tumour growth PDE-constrained optimization problem

3 citations · 7 across the 5 of their papers we have counts for

collaborators

5 papers

math.OC2024

Enhancing sharp augmented Lagrangian methods with smoothing techniques for nonlinear programming

José Luis Romero, Damián Fernandez, Germán Ariel Torres

This paper proposes a novel approach to solving nonlinear programming problems using a sharp augmented Lagrangian method with a smoothing technique. Traditional sharp augmented Lag…

math.OC2014

Adjoint method for a tumor invasion PDE-constrained optimization problem in 2D using Adaptive Finite Element Method

A. A. I. Quiroga, D. R. Fernandez, G. A. Torres +1

In this paper we present a method for estimating unknown parameter that appear in a two dimensional nonlinear reaction-diffusion model of cancer invasion. This model considers that…

math.OC2014★ 1 cited

Adjoint method for a tumor invasion PDE-constrained optimization problem using FEM

Andrés Quiroga, Damián Fernández, Germán Torres +1

In this paper we present a method for estimating unknown parameter that appear on a non-linear reaction-diffusion model of cancer invasion. This model considers that tumor-induced…

math-ph2012★ 3 cited

Adjoint method for a tumour growth PDE-constrained optimization problem

D. A. Knopoff, D. R. Fernández, G. A. Torres +1

In this paper we present a method for estimating unknown parameters that appear on an avascular, spheric tumour growth model. The model for the tumour is based on nutrient driven g…

math.OC2012★ 3 cited

A Weiszfeld-like algorithm for a Weber location problem constrained to a closed and convex set

Germán A. Torres

The Weber problem consists of finding a point in $\mathbbm{R}^n$ that minimizes the weighted sum of distances from points in $\mathbbm{R}^n$ that are not collinear. An applicat…