Before revision: In this paper, we combine a linearized iterative method with multi-scale deep neural network to compute oscillatory flows for stationary Navior-Stokes equation in complex domains. The multiscale neural network converts the high frequency components in target to low frequency components before training, thus accelerating the convergence of training of neural network for all frequencies .
After revision: In this paper, we present linearized learning methods to accelerate the convergence of training of neural network for all frequencies .