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08/14/2023
Towards the efficient calculation of quantity of interest from steady Euler equations II: a CNNs-based automatic implementation
In <cit.>, a dual-consistent dual-weighted residual-based h-adaptive met...
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06/26/2023
An orthogonalization-free implementation of the LOBPCG method in solving Kohn-Sham equation
In the classic implementation of the LOBPCG method, orthogonalization an...
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05/12/2023
Inverse wave-number-dependent source problems for the Helmholtz equation
This paper is concerned with the multi-frequency factorization method fo...
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04/25/2023
Imaging a moving point source from multi-frequency data measured at one and sparse observation points (part II): near-field case in 3D
In this paper we propose a frequency-domain method for recovering the tr...
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04/10/2023
Finite element and integral equation methods to conical diffraction by imperfectly conducting gratings
In this paper we study the variational method and integral equation meth...
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03/07/2023
A convergence analysis of a structure-preserving gradient flow method for the all-electron Kohn-Sham model
In [Dai et al, Multi. Model. Simul., 2020], a structure-preserving gradi...
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02/28/2023
Towards dual consistency of the dual weighted residual method based on a Newton-GMG framework for steady Euler equations
The dual consistency, which is an important issue in developing dual-wei...
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01/17/2023
Well-posedness and convergence analysis of PML method for time-dependent acoustic scattering problems over a locally rough surface
We aim to analyze and calculate time-dependent acoustic wave scattering ...
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12/29/2022
Imaging a moving point source from multi-frequency data measured at one and sparse observation directions (part I): far-field case
We propose a multi-frequency algorithm for imaging the trajectory of a m...
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12/09/2022
Direct sampling method to inverse wave-number-dependent source problems (part I): determination of the support of a stationary source
This paper is concerned with a direct sampling method for imaging the su...
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09/13/2022
An MP-DWR method for h-adaptive finite element methods
In a dual weighted residual based adaptive finite element method for sol...
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09/02/2021
Factorization method for inverse time-harmonic elastic scattering with a single plane wave
This paper is concerned with the factorization method with a single far-...
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07/30/2021
PML and high-accuracy boundary integral equation solver for wave scattering by a locally defected periodic surface
This paper studies the PML method for wave scattering in a half space of...
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03/04/2021
On accelerating a multilevel correction adaptive finite element method for Kohn-Sham equation
Based on the numerical method proposed in [G. Hu, X. Xie, F. Xu, J. Comp...
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01/24/2021
Factorization method with one plane wave: from model-driven and data-driven perspectives
The factorization method by Kirsch (1998) provides a necessary and suffi...
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06/03/2020
Bayesian Approach to Inverse Time-harmonic Acoustic Scattering from Sound-soft Obstacles with Phaseless Data
This paper concerns the Bayesian approach to inverse acoustic scattering...
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07/29/2019