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20162023
most citedError Analysis of Physics-Informed Neural Networks for Approximating Dynamic PDEs of Second Order in Time

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math.NA2023★ 1 cited

Error Analysis of Physics-Informed Neural Networks for Approximating Dynamic PDEs of Second Order in Time

Yanxia Qian, Yongchao Zhang, Yunqing Huang +1

We consider the approximation of a class of dynamic partial differential equations (PDE) of second order in time by the physics-informed neural network (PINN) approach, and provide…

math.NA2021

A posteriori error analysis of hybrid high-order method for the Stokes problem

Yongchao Zhang, Liquan Mei, Gang Wang

We present a residual-based a posteriori error estimator for the hybrid high-order (HHO) method for the Stokes model problem. Both the proposed HHO method and error estimator are v…