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06/28/2023
A new error analysis for parabolic Dirichlet boundary control problems
In this paper, we consider the finite element approximation to a parabol...
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04/18/2023
A Voice Disease Detection Method Based on MFCCs and Shallow CNN
The incidence rate of voice diseases is increasing year by year. The use...
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02/15/2023
A New Reduced Basis Method for Parabolic Equations Based on Single-Eigenvalue Acceleration
In this paper, we develop a new reduced basis (RB) method, named as Sing...
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11/15/2022
Stability and convergence of the Euler scheme for stochastic linear evolution equations in Banach spaces
For the Euler scheme of the stochastic linear evolution equations, discr...
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08/10/2022
Mixed finite element methods for the ferrofluid model with magnetization paralleled to the magnetic field
Mixed finite element methods are considered for a ferrofluid flow model ...
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07/12/2022
An unfitted finite element method with direct extension stabilization for time-harmonic Maxwell problems on smooth domains
We propose an unfitted finite element method for numerically solving the...
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06/07/2022
Energy-preserving Mixed finite element methods for a ferrofluid flow model
In this paper, we develop a class of mixed finite element methods for th...
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04/07/2022
Analysis of a class of globally divergence-free HDG methods for stationary Navier-Stokes equations
This paper analyzes a class of globally divergence-free (and therefore p...
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02/21/2022
Semi-discrete and fully discrete weak Galerkin finite element methods for a quasistatic Maxwell viscoelastic model
This paper considers weak Galerkin finite element approximations for a q...
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12/27/2021
An unfitted finite element method by direct extension for elliptic problems on domains with curved boundaries and interfaces
We propose and analyze an unfitted finite element method for solving ell...
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06/25/2021
Temporal semi-discretizations of a backward semilinear stochastic evolution equation
This paper studies the convergence of three temporal semi-discretization...
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06/06/2021
Optimal error estimation of a time-spectral method for fractional diffusion problems with low regularity data
This paper is devoted to the error analysis of a time-spectral algorithm...
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05/21/2021
Convergence of a spatial semi-discretization for a backward semilinear stochastic parabolic equation
This paper studies the convergence of a spatial semi-discretization for ...
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02/17/2021
NFCNN: Toward a Noise Fusion Convolutional Neural Network for Image Denoising
Deep learning based methods have achieved the state-of-the-art performan...
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02/01/2021
Semi-discrete and fully discrete HDG methods for Burgers' equation
This paper proposes semi-discrete and fully discrete hybridizable discon...
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01/22/2021
Mixed Finite Element Discretization for Maxwell Viscoelastic Model of Wave Propagation
This paper considers semi-discrete and fully discrete mixed finite eleme...
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01/19/2021
Analysis of a discretization of a distributed control problem with a stochastic evolution equation
This paper analyzes a discretization of a stochastic parabolic optimal c...
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01/05/2021
An efficient feature-preserving PDE algorithm for image denoising based on a spatial-fractional anisotropic diffusion equation
How to effectively remove the noise while preserving the image structure...
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12/07/2020
An eXtended HDG method for Darcy-Stokes-Brinkman interface problems
This paper proposes an interface/boundary-unfitted eXtended hybridizable...
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06/08/2020
L1 scheme for solving an inverse problem subject to a fractional diffusion equation
This paper considers the temporal discretization of an inverse problem s...
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05/09/2020
High order mixed finite elements with mass lumping for elasticity on triangular grids
A family of conforming mixed finite elements with mass lumping on triang...
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04/14/2020
An interface/boundary-unfitted eXtended HDG method for linear elasticity problems
An interface/boundary-unfitted eXtended hybridizable discontinuous Galer...
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03/23/2020
Discontinuous Galerkin method for a distributed optimal control problem governed by a time fractional diffusion equation
This paper is devoted to the numerical analysis of a control constrained...
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02/27/2020
Numerical analysis of two Galerkin discretizations with graded temporal grids for fractional evolution equations
Two numerical methods with graded temporal grids are analyzed for fracti...
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10/22/2019
Extended HDG methods for second order elliptic interface problems
In this paper, we propose two arbitrary order eXtended hybridizable Disc...
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08/30/2019
Numerical analysis of a semilinear fractional diffusion equation
This paper considers the numerical analysis of a semilinear fractional d...
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08/24/2019
Analysis of a time-stepping discontinuous Galerkin method for fractional diffusion-wave equation with nonsmooth data
This paper analyzes a time-stepping discontinuous Galerkin method for fr...
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08/24/2019