In this work we propose a hybrid solver to solve partial differential equation (PDE)s in the latent space. The solver uses an iterative inferencing strategy combined with solution initialization to improve generalization of PDE solutions. The solver is tested on an engineering case and the results show that it can generalize well to several PDE conditions.
Cite
@article{arxiv.2104.02452,
title = {A Latent space solver for PDE generalization},
author = {Rishikesh Ranade and Chris Hill and Haiyang He and Amir Maleki and Jay Pathak},
journal= {arXiv preprint arXiv:2104.02452},
year = {2021}
}