Adaptive Localized Reduced Basis Methods for Large Scale PDE-constrained Optimization

Keil, Tim; Ohlberger, Mario; Schindler, Felix

Research article in edited proceedings (conference) | Peer reviewed

Abstract

In this contribution, we introduce and numerically evaluate a certified and adaptive localized reduced basis method as a local model in a trust-region optimization method for parameter optimization constrained by partial differential equations.

Details about the publication

PublisherLirkov, I; Margenov, S
Book titleLarge-Scale Scientific Computations
Page range108-116
Publishing companySpringer Nature
Place of publicationCham
Title of seriesLecture Notes in Computer Science
Volume of series13952
StatusPublished
Release year2024
Language in which the publication is writtenEnglish
ConferenceLarge-Scale Scientific Computations 2023, Sozopol, Bulgaria
ISBN978-3-031-56208-2
DOI10.1007/978-3-031-56208-2_10
KeywordsLocalized model order reduction; PDE constrained optimization; trust region method; adaptive enrichment

Authors from the University of Münster

Keil, Tim
Institute for Analysis and Numerics
Ohlberger, Mario
Professorship of Applied Mathematics, especially Numerics (Prof. Ohlberger)
Center for Nonlinear Science
Center for Multiscale Theory and Computation
Schindler, Felix Tobias
Professorship of Applied Mathematics, especially Numerics (Prof. Ohlberger)