D3M: A Deep Domain Decomposition Method for Partial Differential Equations

A state-of-the-art deep domain decomposition method (D3M) based on the variational principle is proposed for partial differential equations (PDEs). The solution of PDEs can be formulated as the solution of a constrained optimization problem, and we design a hierarchical neural network framework to s...

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Bibliographic Details
Main Authors: Ke Li, Kejun Tang, Tianfan Wu, Qifeng Liao
Format: Article
Language:English
Published: IEEE 2020-01-01
Series:IEEE Access
Subjects:
Online Access:https://ieeexplore.ieee.org/document/8918421/