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math.NA2022★ 19 cited
A Deep Double Ritz Method (DRM) for solving Partial Differential Equations using Neural Networks
Carlos Uriarte, David Pardo, Ignacio Muga +1
Residual minimization is a widely used technique for solving Partial Differential Equations in variational form. It minimizes the dual norm of the residual, which naturally yields…
math.NA2022★ 1 cited
Adaptive Deep Learning Method for Solving Partial Differential Equations
Ángel J. Omella, David Pardo
We introduce an adaptive algorithm to solve Partial Differential Equations using a Deep Neural Network. The proposed method restricts to tensor product meshes and optimizes the…