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09/17/2023
A Neumann interface optimal control problem with elliptic PDE constraints and its discretization and numerical analysis
We study an optimal control problem governed by elliptic PDEs with inter...
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09/07/2022
Numerical integration rules with improved accuracy close to singularities
Sometimes it is necessary to obtain a numerical integration using only d...
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06/11/2022
High order two-grid finite difference methods for interface and internal layer problems
Second order accurate Cartesian grid methods have been well developed fo...
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05/01/2022
Convex Combination Consistency between Neighbors for Weakly-supervised Action Localization
In weakly-supervised temporal action localization (WS-TAL), the methods ...
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09/12/2021
Can 4th-order compact schemes exist for flux type BCs?
In this paper new innovative fourth order compact schemes for Robin and ...
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08/15/2021
Convergence study of IB methods for Stokes equations with non-periodic boundary conditions
Peskin's Immersed Boundary (IB) model and method are among the most popu...
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08/14/2021
A simple third order compact finite element method for 1D BVP
A simple third order compact finite element method is proposed for one-d...
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08/09/2021
An immersed CR-P_0 element for Stokes interface problems and the optimal convergence analysis
This paper presents and analyzes an immersed finite element (IFE) method...
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08/06/2021
Analysis of nonconforming IFE methods and a new scheme for elliptic interface problems
In this paper, an important discovery has been found for nonconforming i...
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03/18/2021
A new parameter free partially penalized immersed finite element and the optimal convergence analysis
This paper presents a new parameter free partially penalized immersed fi...
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07/21/2019
