Multi-scale Physical Representations for Approximating PDE Solutions with Graph Neural Operators

Neural operator: Graph kernel network for partial differential equations

Original

Zongyi Li, Nikola B. Kovachki, Kamyar Azizzadenesheli, Burigede Liu, Kaushik Bhattacharya, Andrew M. Stuart, and Anima Anandkumar · 2003

Earlier work this paper cites.

Multipole graph neural operator for parametric partial differential equations

Original

Zong-Yi Li, Nikola B. Kovachki, K. Azizzadenesheli, Burigede Liu, K. Bhattacharya, Andrew Stuart, and Anima Anandkumar · 2006

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Neural operator: Learning maps between function spaces

Original

Nikola B. Kovachki, Zongyi Li, Burigede Liu, Kamyar Azizzadenesheli, Kaushik Bhattacharya, Andrew M. Stuart, and Anima Anandkumar · 2021

Later among the works it cites.

Learning mesh-based simulation with graph networks

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Learning incompressible fluid dynamics from scratch - towards fast, differentiable fluid models that generalize

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