Topological derivative and neural network for inverse problems of coupled models
| Autor: | Antoni Zochowski, Katarzyna Szulc, Marta Lipnicka |
|---|---|
| Rok vydání: | 2016 |
| Předmět: |
0209 industrial biotechnology
Artificial neural network Differential equation Mathematical analysis Boundary (topology) 02 engineering and technology Inverse problem Topology 01 natural sciences Domain (mathematical analysis) 010101 applied mathematics Nonlinear system 020901 industrial engineering & automation Boundary value problem Topological derivative 0101 mathematics Mathematics |
| Zdroj: | MMAR |
| DOI: | 10.1109/mmar.2016.7575138 |
| Popis: | In the paper we consider a new method based on the neural network for finding the location of small holes in the domain, in which the coupled linear and nonlinear boundary value problems are defined. The linear and nonlinear components are connected by the transmission conditions on the interface boundary. We use an artificial neural network, which calculates the locations of hole in the linear component of the domain based of input data, comming from the exterior part of the domain and based on the topological derivative. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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