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math.NA2023
Local Randomized Neural Networks with Hybridized Discontinuous Petrov-Galerkin Methods for Stokes-Darcy Flows
Haoning Dang, Fei Wang
This paper introduces a new numerical approach that integrates local randomized neural networks (LRNNs) and the hybridized discontinuous Petrov-Galerkin (HDPG) method for solving c…
math.NA2023
A conforming discontinuous Galerkin finite element method for Brinkman equations
Haoning Dang, Qilong Zhai, Zhongshu Zhao
In this paper, we present a conforming discontinuous Galerkin (CDG) finite element method for Brinkman equations. The velocity stabilizer is removed by employing the higher degree…