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20092021
most citednPINNs: nonlocal Physics-Informed Neural Networks for a parametrized nonlocal universal Laplacian operator. Algorithms and Applications

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math.NA2009

Variational Theory and Domain Decomposition for Nonlocal Problems

Burak Aksoylu, Michael L. Parks

In this article we present the first results on domain decomposition methods for nonlocal operators. We present a nonlocal variational formulation for these operators and establish…