FENNM solves 1D PDEs by minimizing a finite-element weak-form residual with Lagrange test functions and a neural network trial solution, including flux terms at element boundaries.
Reddy, An Introduction to the Finite Element Method
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The Finite Element Neural Network Method: One Dimensional Study
FENNM solves 1D PDEs by minimizing a finite-element weak-form residual with Lagrange test functions and a neural network trial solution, including flux terms at element boundaries.