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09/02/2023
Spectral Barron space and deep neural network approximation
We prove the sharp embedding between the spectral Barron space and the B...
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08/27/2023
A Deep Learning Method for Computing Eigenvalues of the Fractional Schrödinger Operator
We present a novel deep learning method for computing eigenvalues of the...
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07/22/2022
Error Estimate of Multiscale Finite Element Method for Periodic Media Revisited
We derive the optimal energy error estimate for multiscale finite elemen...
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05/01/2021
A family of mixed finite elements for nearly incompressible strain gradient elastic models
We propose a family of mixed finite elements that are robust for the nea...
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04/17/2021
H^2- Korn's Inequality and the Nonconforming Elements for The Strain Gradient Elastic Model
We establish a new H2 Korn's inequality and its discrete analog, which g...
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03/25/2021
A Nitsche Hybrid multiscale method with non-matching grids
We propose a Nitsche method for multiscale partial differential equation...
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07/19/2020
An Efficient Online-Offline Method for Elliptic Homogenization Problems
We present a new numerical method for solving the elliptic homogenizatio...
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12/03/2019