Search Results for author: Ari Frankel

Found 5 papers, 0 papers with code

Deep learning and multi-level featurization of graph representations of microstructural data

no code implementations29 Sep 2022 Reese Jones, Cosmin Safta, Ari Frankel

We develop a means of deep learning of hidden features on the reduced graph given the native discretization and a segmentation of the initial input field.

Mesh-based graph convolutional neural networks for modeling materials with microstructure

no code implementations4 Jun 2021 Ari Frankel, Cosmin Safta, Coleman Alleman, Reese Jones

Predicting the evolution of a representative sample of a material with microstructure is a fundamental problem in homogenization.

Gaussian Process Regression constrained by Boundary Value Problems

no code implementations22 Dec 2020 Mamikon Gulian, Ari Frankel, Laura Swiler

The framework may be applied to infer the solution of a well-posed boundary value problem with a known second-order differential operator and boundary conditions, but for which only scattered observations of the source term are available.

Gaussian Processes regression

Tensor Basis Gaussian Process Models of Hyperelastic Materials

no code implementations23 Dec 2019 Ari Frankel, Reese Jones, Laura Swiler

Finally, we consider an approach that recovers the strain-energy density function and derives the stress tensor from this potential.

GPR Physics-informed machine learning

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