A physics-informed variational DeepONet for predicting the crack path in
brittle materials

A physics-informed variational DeepONet for predicting the crack path in brittle materials

16 August 2021

Papers citing "A physics-informed variational DeepONet for predicting the crack path in brittle materials"

15 / 65 papers shown

Title
Multi-resolution partial differential equations preserved learning framework for spatiotemporal dynamics Xin-Yang Liu Min Zhu Lu Lu Hao Sun Jian-Xun Wang PINN AI4CE 36 45 0 09 May 2022
Neural operator learning of heterogeneous mechanobiological insults contributing to aortic aneurysms S. Goswami David S. Li B. Rego M. Latorre J. Humphrey George Karniadakis MedIm AI4CE 30 26 0 08 May 2022
SVD Perspectives for Augmenting DeepONet Flexibility and Interpretability Simone Venturi T. Casey 23 37 0 27 Apr 2022
Multifidelity deep neural operators for efficient learning of partial differential equations with application to fast inverse design of nanoscale heat transport Lu Lu R. Pestourie Steven G. Johnson Giuseppe Romano AI4CE 24 102 0 14 Apr 2022
Learning two-phase microstructure evolution using neural operators and autoencoder architectures Vivek Oommen K. Shukla S. Goswami Rémi Dingreville George Karniadakis AI4CE 46 119 0 11 Apr 2022
Bi-fidelity Modeling of Uncertain and Partially Unknown Systems using DeepONets Subhayan De Matthew J. Reynolds M. Hassanaly Ryan N. King Alireza Doostan AI4CE 28 37 0 03 Apr 2022
Learning Deep Implicit Fourier Neural Operators (IFNOs) with Applications to Heterogeneous Material Modeling Huaiqian You Quinn Zhang Colton J. Ross Chung-Hao Lee Yue Yu AI4CE 29 95 0 15 Mar 2022
On the influence of over-parameterization in manifold based surrogates and deep neural operators Katiana Kontolati S. Goswami Michael D. Shields George Karniadakis 17 41 0 09 Mar 2022
Interfacing Finite Elements with Deep Neural Operators for Fast Multiscale Modeling of Mechanics Problems Minglang Yin Enrui Zhang Yue Yu George Karniadakis AI4CE 33 99 0 25 Feb 2022
MIONet: Learning multiple-input operators via tensor product Pengzhan Jin Shuai Meng Lu Lu 20 158 0 12 Feb 2022
A survey of unsupervised learning methods for high-dimensional uncertainty quantification in black-box-type problems Katiana Kontolati Dimitrios Loukrezis D. D. Giovanis Lohit Vandanapu Michael D. Shields 30 40 0 09 Feb 2022
Physics-informed neural networks for solving parametric magnetostatic problems Andrés Beltrán-Pulido Ilias Bilionis D. Aliprantis 30 34 0 08 Feb 2022
Simulating progressive intramural damage leading to aortic dissection using an operator-regression neural network Minglang Yin Ehsan Ban B. Rego Enrui Zhang C. Cavinato J. Humphrey George Karniadakis AI4CE 34 52 0 25 Aug 2021
Data-driven learning of nonlocal models: from high-fidelity simulations to constitutive laws Huaiqian You Yue Yu Stewart Silling M. DÉlia 35 33 0 08 Dec 2020
An Energy Approach to the Solution of Partial Differential Equations in Computational Mechanics via Machine Learning: Concepts, Implementation and Applications E. Samaniego C. Anitescu S. Goswami Vien Minh Nguyen-Thanh Hongwei Guo Khader M. Hamdia Timon Rabczuk X. Zhuang PINN AI4CE 159 1,344 0 27 Aug 2019