ROM-Based Inexact Subdivision Methods for PDE-Constrained Multiobjective Optimization

The goal in multiobjective optimization is to determine the so-called Pareto set. Our optimization problem is governed by a parameter-dependent semi-linear elliptic partial differential equation (PDE). To solve it, we use a gradient-based set-oriented numerical method. The numerical solution of the...

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Bibliographic Details
Main Authors: Stefan Banholzer, Bennet Gebken, Lena Reichle, Stefan Volkwein
Format: Article
Language:English
Published: MDPI AG 2021-04-01
Series:Mathematical and Computational Applications
Subjects:
Online Access:https://www.mdpi.com/2297-8747/26/2/32