An immersed boundary neural network for solving elliptic equations with singular forces on arbitrary domains

An immersed boundary neural network for solving elliptic equations with singular forces on arbitrary domains

In this paper, we present a deep learning framework for solving two-dimensional elliptic equations with singular forces on arbitrary domains. This work follows the ideas of the physical-inform neural networks to approximate the solutions and the immersed boundary method to deal with the singularity...

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Bibliographic Details
Main Authors: Reymundo Itzá Balam, Francisco Hernandez-Lopez, Joel Trejo-Sánchez, Miguel Uh Zapata
Format: Article
Language:English
Published: AIMS Press 2021-04-01
Series:Mathematical Biosciences and Engineering
Subjects:
elliptic equation
immersed boundary method
singular forces
neural networks
deep learning
continuous time model
interface
two-phase flow
Online Access:http://www.aimspress.com/article/doi/10.3934/mbe.2021002?viewType=HTML

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http://www.aimspress.com/article/doi/10.3934/mbe.2021002?viewType=HTML

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