Improve Unscented Kalman Inversion With Low-Rank Approximation and Reduced-Order Model

no code implementations • 21 Feb 2021 • Daniel Z. Huang, Jiaoyang Huang

The unscented Kalman inversion (UKI) presented in [1] is a general derivative-free approach to solving the inverse problem.

Numerical Analysis Numerical Analysis Optimization and Control

Iterated Kalman Methodology For Inverse Problems

1 code implementation • 2 Feb 2021 • Daniel Z. Huang, Tapio Schneider, Andrew M. Stuart

In this paper, we work with the ExKI, EKI, and a variant on EKI which we term unscented Kalman inversion (UKI).

Numerical Analysis Numerical Analysis Dynamical Systems

A Computationally Tractable Framework for Nonlinear Dynamic Multiscale Modeling of Membrane Fabric

no code implementations • 12 Jul 2020 • Philip Avery, Daniel Z. Huang, Wanli He, Johanna Ehlers, Armen Derkevorkian, Charbel Farhat

The numerical solution of displacement driven problems involving this model can be adapted to the context of membranes by a variant of the Klinkel-Govindjee method[1] originally proposed for using finite strain, three-dimensional material models in beam and shell elements.

Learning Constitutive Relations using Symmetric Positive Definite Neural Networks

1 code implementation • 1 Apr 2020 • Kailai Xu, Daniel Z. Huang, Eric Darve

We present the Cholesky-factored symmetric positive definite neural network (SPD-NN) for modeling constitutive relations in dynamical equations.

Numerical Analysis Numerical Analysis

Predictive Modeling with Learned Constitutive Relations from Indirect Observations

4 code implementations • 29 May 2019 • Daniel Z. Huang, Kailai Xu, Charbel Farhat, Eric Darve

Its counterparts, like piecewise linear functions and radial basis functions, are compared, and the strength of neural networks is explored.

Numerical Analysis Numerical Analysis Computational Physics