Topological derivative and neural network for inverse problems of coupled models * Introduction

Lipnicka, Marta; Szulc, Katarzyna; Żochowski, Antoni

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Title: Topological derivative and neural network for inverse problems of coupled models * Introduction

Abstract:

This paper considers a coupled model described by the domain bounded in R2 and decomposed into two sub-domains Ω and ω in such way that the interior sub-domain ω is surrounded by the exterior sub-domain Ω. In the interior sub-domain the physical phenomenon are described by the linear partial differential equation (PDE), and in the exterior domain the processes are governed by nonlinear PDEs subject to some external function. An example of such a system constitutes a gravity flow around an elastic obstacle. The goal of this paper is to propose the combination of neural network and information given by the topological derivative for solving such difficult problems or at least providing the initial approximation of the solutions. For a fixed number of holes, the differential equation was considered and solved.

Relation:

Raport Badawczy = Research Report

Detailed Resource Type:

Raport

Resource Identifier:

oai:rcin.org.pl:110600

Source:

RB-2016-38

Language:

eng

Language of abstract:

eng

Rights:

Licencja Creative Commons Uznanie autorstwa 4.0

Terms of use:

Zasób chroniony prawem autorskim. [CC BY 4.0 Międzynarodowe] Korzystanie dozwolone zgodnie z licencją Creative Commons Uznanie autorstwa 4.0, której pełne postanowienia dostępne są pod adresem: ; -

Digitizing institution:

Instytut Badań Systemowych Polskiej Akademii Nauk

Original in:

Biblioteka Instytutu Badań Systemowych PAN

Projects co-financed by:

Program Operacyjny Polska Cyfrowa, lata 2014-2020, Działanie 2.3 : Cyfrowa dostępność i użyteczność sektora publicznego; środki z Europejskiego Funduszu Rozwoju Regionalnego oraz współfinansowania krajowego z budżetu państwa

Access:

Otwarty

Subject and keywords:

Optymalizacja kształtu Shape optimization Topological derivative Artificial neural networks Pochodna topologiczna Sztuczne sieci neuronowe

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Last modified:

Oct 19, 2021

In our library since:

Jan 28, 2020

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All available object's versions:

https://www.rcin.org.pl/publication/138574

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Raporty Badawcze

Edition name	Date
RB-2016-38 : Lipnicka Marta, Szulc Katarzyna, Żochowski Antoni Kazimierz : Topological Derivative and Neural Network for Inverse Problems of Coupled Models	Oct 19, 2021