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06/10/2023
A convergent hybrid neural network and finite difference scheme for Stokes interface problems
In this paper, we present a novel hybrid method for solving a Stokes int...
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10/16/2022
A cusp-capturing PINN for elliptic interface problems
In this paper, we propose a cusp-capturing physics-informed neural netwo...
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10/11/2022
An efficient neural-network and finite-difference hybrid method for elliptic interface problems with applications
A new and efficient neural-network and finite-difference hybrid method i...
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03/03/2022
A shallow physics-informed neural network for solving partial differential equations on surfaces
In this paper, we introduce a mesh-free physics-informed neural network ...
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07/26/2021
A Shallow Ritz Method for elliptic problems with Singular Sources
In this paper, a shallow Ritz-type neural network for solving elliptic p...
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06/10/2021