Author:
Pettersson Klas,Karzhou Andrei,Pettersson Irina
Abstract
AbstractThe Helmholtz equation has been used for modeling the sound pressure field under a harmonic load. Computing harmonic sound pressure fields by means of solving Helmholtz equation can quickly become unfeasible if one wants to study many different geometries for ranges of frequencies. We propose a machine learning approach, namely a feedforward dense neural network, for computing the average sound pressure over a frequency range. The data are generated with finite elements, by numerically computing the response of the average sound pressure, by an eigenmode decomposition of the pressure. We analyze the accuracy of the approximation and determine how much training data is needed in order to reach a certain accuracy in the predictions of the average pressure response.
Funder
Chalmers University of Technology
Publisher
Springer Science and Business Media LLC
Reference32 articles.
1. J. Adler and O. Öktem. Solving ill-posed inverse problems using iterative deep neural networks. Inverse Problems, 33(12):124007, 2017
2. Allaire, G.: Numerical Analysis and Optimization: An Introduction to Mathematical Modelling and Numerical Simulation. Oxford University Press, Oxford (2007)
3. Abadi, M., et al.: TensorFlow: large-scale machine learning on heterogeneous systems (2015). Software available from tensorflow.org
4. Alnæs, M. S., et al.: The fenics project version 15. Arch. Numer. Softw., 3(100), 9-23 2015
5. Baymani, M., Effati, S., Kerayechian, A.: A feed-forward neural network for solving stokes problem. Acta Appl. Math. 116(1), 55 (2011)
Cited by
1 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