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05/21/2023
ParticleWNN: a Novel Neural Networks Framework for Solving Partial Differential Equations
Deep neural networks (DNNs) have been widely used to solve partial diffe...
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05/10/2023
Singularity swapping method for nearly singular integrals based on trapezoidal rule
Accurate evaluation of nearly singular integrals plays an important role...
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10/28/2022
Optimal Transportation for Electrical Impedance Tomography
This work establishes a framework for solving inverse boundary problems ...
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02/18/2022
An Adaptive Finite Element DtN Method for Maxwell's Equations
This paper is concerned with a numerical solution to the scattering of a...
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01/14/2021
An adaptive finite element DtN method for the elastic wave scattering problem in three dimensions
Consider the elastic scattering of an incident wave by a rigid obstacle ...
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08/11/2020
An inverse spectral problem for a damped wave operator
This paper proposes a new and efficient numerical algorithm for recoveri...
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07/25/2020
An adaptive finite element DtN method for the elastic wave scattering by biperiodic structures
Consider the scattering of a time-harmonic elastic plane wave by a bi-pe...
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04/22/2020
An adaptive finite element DtN method for the open cavity scattering problems
Consider the scattering of a time-harmonic electromagnetic plane wave by...
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03/02/2020
Inverse scattering by a random periodic structure
This paper develops an efficient numerical method for the inverse scatte...
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02/26/2020
Numerical Solution of Inverse Problems by Weak Adversarial Networks
We consider a weak adversarial network approach to numerically solve a c...
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01/16/2020
An adaptive finite element DtN method for the three-dimensional acoustic scattering problem
This paper is concerned with a numerical solution of the acoustic scatte...
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07/18/2019