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20172024
most citedPhysics-Constrained Deep Learning for High-dimensional Surrogate Modeling and Uncertainty Quantification without Labeled Data

1.1k citations · 2.3k across the 19 of their papers we have counts for

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math.AP2018

Learning Parameters and Constitutive Relationships with Physics Informed Deep Neural Networks

Alexandre M. Tartakovsky, Carlos Ortiz Marrero, Paris Perdikaris +2

We present a physics informed deep neural network (DNN) method for estimating parameters and unknown physics (constitutive relationships) in partial differential equation (PDE) mod…