197 citations · 308 across the 3 of their papers we have counts for
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cs.LG2024★ 197 cited
Kolmogorov Arnold Informed neural network: A physics-informed deep learning framework for solving forward and inverse problems based on Kolmogorov Arnold Networks
Yizheng Wang, Jia Sun, Jinshuai Bai +5
AI for partial differential equations (PDEs) has garnered significant attention, particularly with the emergence of Physics-informed neural networks (PINNs). The recent advent of K…
cs.LG2023★ 47 cited
DCEM: A deep complementary energy method for solid mechanics
Yizheng Wang, Jia Sun, Timon Rabczuk +1
In recent years, the rapid advancement of deep learning has significantly impacted various fields, particularly in solving partial differential equations (PDEs) in the realm of sol…
cs.LG2023★ 64 cited
BINN: A deep learning approach for computational mechanics problems based on boundary integral equations
Jia Sun, Yinghua Liu, Yizheng Wang +2
We proposed the boundary-integral type neural networks (BINN) for the boundary value problems in computational mechanics. The boundary integral equations are employed to transfer a…