A Tensor Neural Network Method for High-Order Homogenization of Locally Periodic Elliptic Problems

Huaijia Zhang, Haochen Liu, Xia Ji +1

We develop a high-order tensor neural network (TNN) method for locally periodic elliptic multiscale problems of the form $-\nabla \cdot (A(x,x/\epsilon )\nabla u_{\epsilon })=f$. B…