Work

Convergence Analysis of the Semismooth Newton Method for Sparse Control Problems Governed by Semilinear Elliptic Equations

Year: 2024

Type: article

Abstract: . We show that a second order sufficient condition for local optimality, along with a strict complementarity condition, is enough to get the superlinear convergence of the semismooth Newton method for an optimal control problem governed by a semilinear elliptic equation. The objective functional may include a sparsity promoting term and we allow for box control constraints.

Source: SIAM Journal on Control and Optimization

DOI: 10.1137/23m1585945

Authors: Eduardo Casas, Mariano Mateos

Institutions: Universidad de Cantabria, Universidad de Oviedo

Language: English

Topic: Advanced Numerical Methods in Computational Mathematics

Subfield: Computational Mechanics

Field: Engineering

Domain: Physical Sciences

Open Access status: green

Funder: Agencia Estatal de Investigación

Awards: G2726347730, G3480869486, G4526231891, G5080475149, G7084143925