Pingbing Ming

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^{2} -

Korn's Inequality and the Nonconforming Elements for The Strain Gradient Elastic Model

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math.NA2023

A Deep Learning Method for Computing Eigenvalues of the Fractional Schrödinger Operator

Yixiao Guo, Pingbing Ming

We present a novel deep learning method for computing eigenvalues of the fractional Schrödinger operator. Our approach combines a newly developed loss function with an innovative n…

math.NA2021★ 1 cited

H $^{2} -$ Korn's Inequality and the Nonconforming Elements for The Strain Gradient Elastic Model

Hongliang Li, Pingbing Ming, Huiyu Wang

We establish a new H2 Korn's inequality and its discrete analog, which greatly simplify the construction of nonconforming elements for a linear strain gradient elastic model. The S…

A Deep Learning Method for Computing Eigenvalues of the Fractional Schrödinger Operator

H2− Korn's Inequality and the Nonconforming Elements for The Strain Gradient Elastic Model

H $^{2} -$ Korn's Inequality and the Nonconforming Elements for The Strain Gradient Elastic Model