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12/08/2022
A numerical domain decomposition method for solving elliptic equations on manifolds
A new numerical domain decomposition method is proposed for solving elli...
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09/29/2022
Transformer Meets Boundary Value Inverse Problems
A Transformer-based deep direct sampling method is proposed for solving ...
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06/21/2022
A nonconforming primal hybrid finite element method for the two-dimensional vector Laplacian
We introduce a nonconforming hybrid finite element method for the two-di...
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02/21/2022
Immersed Virtual Element Methods for Maxwell Interface Problems in Three Dimensions
Finite element methods for Maxwell's equations are highly sensitive to t...
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02/08/2022
How to Understand Masked Autoencoders
"Masked Autoencoders (MAE) Are Scalable Vision Learners" revolutionizes ...
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08/02/2021
Immersed Virtual Element Methods for Elliptic Interface Problems
This article presents an immersed virtual element method for solving a c...
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05/31/2021
Choose a Transformer: Fourier or Galerkin
In this paper, we apply the self-attention from the state-of-the-art Tra...
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03/08/2021
A Virtual Finite Element Method for Two Dimensional Maxwell Interface Problems with a Background Unfitted Mesh
A virtual element method (VEM) with the first order optimal convergence ...
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02/05/2021
Error analysis of a decoupled finite element method for quad-curl problems
Finite element approximation to a decoupled formulation for the quad–cur...
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01/10/2021
A New Numerical Method for Div-Curl Systems with Low Regularity Assumptions
This paper presents a numerical method for div-curl systems with normal ...
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07/25/2020
Convergence and optimality of an adaptive modified weak Galerkin finite element method
An adaptive modified weak Galerkin method (AmWG) for an elliptic problem...
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06/10/2020