Język metadanych
Topological derivative and neural network for inverse problems of coupled models * Introduction
Inny tytuł:Raport Badawczy = Research Report ; RB/38/2016
Twórca:Lipnicka, Marta ; Szulc, Katarzyna ; Żochowski, Antoni
Wydawca:Instytut Badań Systemowych. Polska Akademia Nauk ; Systems Research Institute. Polish Academy of Sciences
Miejsce wydania: Data wydania/powstania: Opis:11 pages ; 21 cm ; Bibliography p. 19-20
Temat i słowa kluczowe:Optymalizacja kształtu ; Shape optimization ; Topological derivative ; Artificial neural networks ; Pochodna topologiczna ; Sztuczne sieci neuronowe
Abstrakt: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.
Czasopismo/Seria/cykl:Raport Badawczy = Research Report
Typ zasobu: Szczegółowy typ zasobu: Źródło: Język: Język streszczenia: Prawa:Creative Commons Attribution BY 4.0 license
Zasady wykorzystania:Copyright-protected material. [CC BY 4.0] May be used within the scope specified in Creative Commons Attribution BY 4.0 license, full text available at: ; -
Digitalizacja:Systems Research Institute of the Polish Academy of Sciences
Lokalizacja oryginału:Library of Systems Research Institute PAS
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