Discrete empirical interpolation and unfitted mesh FEMs: application in PDE-constrained optimization-Reference-Cited by-同舟云学术

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Discrete empirical interpolation and unfitted mesh FEMs: application in PDE-constrained optimization

Published:2022-02-15 Issue: Volume: Page:1-34
ISSN:0233-1934
Container-title:Optimization
language:en
Short-container-title:Optimization

Author:

Katsouleas Georgios¹,Karatzas Efthymios N.¹²³^ORCID,Travlopanos Fotios¹

Affiliation:

1. Department of Mathematics, National Technical University of Athens, Athens Greece

2. FORTH Institute of Applied and Computational Mathematics, Heraklion, Crete, Greece

3. SISSA (affiliation), International School for Advanced Studies, Trieste, Italy

Funder

General Secretariat for Research and Technology

‘First Call for H.F.R.I. Research Projects to support Faculty members and Researchers and the procurement of high-cost research equipment’

National Infrastructures for Research and Technology S.A.

Publisher

Informa UK Limited

Subject

Applied Mathematics,Management Science and Operations Research,Control and Optimization

Link

https://www.tandfonline.com/doi/pdf/10.1080/02331934.2022.2032697

Reference37 articles.

1. Aretaki A, Karatzas EN. Random geometries for optimal control PDE problems based on fictitious domain FEMS and cut elements. 2022. Available from: https://arxiv.org/abs/2003.00352.

2. Reduced Basis Method and A Posteriori Error Estimation for Parametrized Linear-Quadratic Optimal Control Problems

3. Optimal Control of Systems Governed by Partial Differential Equations

4. Reduced basis approximation of parametrized optimal flow control problems for the Stokes equations

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Boundary and distributed optimal control for a population dynamics PDE model with discontinuous in time Galerkin FEM schemes;Computers & Mathematics with Applications;2024-07

2. A localized reduced basis approach for unfitted domain methods on parameterized geometries;Computer Methods in Applied Mechanics and Engineering;2023-05

3. Embedded domain Reduced Basis Models for the shallow water hyperbolic equations with the Shifted Boundary Method;Computer Methods in Applied Mechanics and Engineering;2022-08

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