A Petrov-Galerkin neural method with frozen random features as trial space and radial-basis test functions solves elliptic PDEs by least squares, with Fourier and partition-of-unity extensions for multiscale and singular solutions.
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Weak TransNet: A Petrov-Galerkin based neural network method for solving elliptic PDEs
A Petrov-Galerkin neural method with frozen random features as trial space and radial-basis test functions solves elliptic PDEs by least squares, with Fourier and partition-of-unity extensions for multiscale and singular solutions.