A finite element-based physics-informed operator learning framework for
spatiotemporal partial differential equations on arbitrary domains

A finite element-based physics-informed operator learning framework for spatiotemporal partial differential equations on arbitrary domains

21 May 2024

Yusuke Yamazaki

Papers citing "A finite element-based physics-informed operator learning framework for spatiotemporal partial differential equations on arbitrary domains"

10 / 10 papers shown

Title
A discrete physics-informed training for projection-based reduced order models with neural networks N. Sibuet S. A. D. Parga J. R. Bravo R. Rossi 29 0 0 31 Mar 2025
A physics-informed transformer neural operator for learning generalized solutions of initial boundary value problems Sumanth Kumar Boya Deepak Subramani AI4CE 94 0 0 12 Dec 2024
Introducing a microstructure-embedded autoencoder approach for reconstructing high-resolution solution field data from a reduced parametric space Rasoul Najafi Koopas Shahed Rezaei N. Rauter Richard Ostwald R. Lammering AI4CE 45 4 0 03 May 2024
A finite operator learning technique for mapping the elastic properties of microstructures to their mechanical deformations Shahed Rezaei Reza Najian Asl S. Faroughi Mahdi Asgharzadeh Ali Harandi Rasoul Najafi Koopas G. Laschet Stefanie Reese Markus Apel AI4CE 42 4 0 28 Mar 2024
Theory and implementation of inelastic Constitutive Artificial Neural Networks H. Holthusen L. Lamm T. Brepols Stefanie Reese Ellen Kuhl AI4CE 38 29 0 10 Nov 2023
Stress field prediction in fiber-reinforced composite materials using a deep learning approach Anindya Bhaduri Ashwini Gupta L. Graham‐Brady AI4CE 24 115 0 01 Nov 2021
Improved architectures and training algorithms for deep operator networks Sizhuang He Hanwen Wang P. Perdikaris AI4CE 52 105 0 04 Oct 2021
NeuFENet: Neural Finite Element Solutions with Theoretical Bounds for Parametric PDEs Biswajit Khara Aditya Balu Ameya Joshi S. Sarkar C. Hegde A. Krishnamurthy Baskar Ganapathysubramanian 26 19 0 04 Oct 2021
Physics-informed Convolutional Neural Networks for Temperature Field Prediction of Heat Source Layout without Labeled Data Xiaoyu Zhao Zhiqiang Gong Yunyang Zhang Wen Yao Xiaoqian Chen OOD AI4CE 77 91 0 26 Sep 2021
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 1,342 0 27 Aug 2019