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07/29/2023
Extended tensor decomposition model reduction methods: training, prediction, and design under uncertainty
This paper introduces an extended tensor decomposition (XTD) method for ...
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12/02/2022
JAX-FEM: A differentiable GPU-accelerated 3D finite element solver for automatic inverse design and mechanistic data science
This paper introduces JAX-FEM, an open-source differentiable finite elem...
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12/01/2022
An Introduction to Kernel and Operator Learning Methods for Homogenization by Self-consistent Clustering Analysis
Recent advances in operator learning theory have improved our knowledge ...
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11/29/2022
Deep Learning Discrete Calculus (DLDC): A Family of Discrete Numerical Methods by Universal Approximation for STEM Education to Frontier Research
The article proposes formulating and codifying a set of applied numerica...
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08/02/2022
Stochastic additive manufacturing simulation: from experiment to surface roughness and porosity prediction
Deterministic computational modeling of laser powder bed fusion (LPBF) p...
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07/11/2021
Eighty Years of the Finite Element Method: Birth, Evolution, and Future
This year marks the eightieth anniversary of the invention of the finite...
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05/13/2021