Local randomized neural networks with hybridized discontinuous Petrov–Galerkin methods for Stokes–Darcy flows
Haoning Dang,
Fei Wang
Abstract:This paper introduces a new numerical approach that integrates local randomized neural networks (LRNNs) and the hybridized discontinuous Petrov–Galerkin (HDPG) method for solving coupled fluid flow problems. The proposed method partitions the domain of interest into several subdomains and constructs an LRNN on each subdomain. Then, the HDPG scheme is used to couple the LRNNs to approximate the unknown functions. We develop local randomized neural networks with hybridized discontinuous Petrov–Galerkin (LRNN-HDP… Show more
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