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06/27/2023
Preconditioned NonSymmetric/Symmetric Discontinuous Galerkin Method for Elliptic Problem with Reconstructed Discontinuous Approximation
In this paper, we propose and analyze an efficient preconditioning metho...
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05/05/2023
An arbitrary order Reconstructed Discontinuous Approximation to Biharmonic Interface Problem
We present an arbitrary order discontinuous Galerkin finite element meth...
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01/28/2023
Slip and Jump Coefficients for General Gas-Surface Interactions According to the Moment Method
We develop a moment method based on the Hermite series of arbitrary orde...
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01/14/2023
Hermite spectral method for the inelastic Boltzmann equation
We propose a Hermite spectral method for the inelastic Boltzmann equatio...
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09/21/2022
Construction of boundary conditions for Navier-Stokes equations from the moment system
This work concerns with boundary conditions (BCs) of the linearized mome...
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09/10/2022
On Well-posed Boundary Conditions for the Linear Non-homogeneous Moment Equations in Half-space
We propose a necessary and sufficient condition for the well-posedness o...
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07/14/2022
Coupling conditions for linear hyperbolic relaxation systems in two-scales problems
This work is concerned with coupling conditions for linear hyperbolic re...
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05/29/2022
A well-balanced moving mesh discontinuous Galerkin method for the Ripa model on triangular meshes
A well-balanced moving mesh discontinuous Galerkin (DG) method is propos...
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04/11/2022
Linear Moment Models to Approximate Knudsen Layers
We propose a well-posed Maxwell-type boundary condition for the linear m...
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03/08/2022
Hermite spectral method for multi-species Boltzmann equation
We introduce a numerical scheme for the full multi-species Boltzmann equ...
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10/06/2021
An extension of the order-preserving mapping to the WENO-Z-type schemes
In our latest studies, by introducing the novel order-preserving (OP) cr...
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09/18/2021
Locally Order-Preserving Mapping for WENO Methods
Most of the existing mapped WENO schemes suffer from either losing high ...
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05/11/2021
Generalized implementation of the order-preserving mapping for mapped WENO schemes
A serious and ubiquitous issue in existing mapped WENO schemes is that m...
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05/05/2021
A discontinuous least squares finite element method for Helmholtz equations
We propose a discontinuous least squares finite element method for solvi...
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04/09/2021
A new mapped WENO scheme using order-preserving mapping
Existing mapped WENO schemes can hardly prevent spurious oscillations wh...
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02/06/2021
High Order Numerical Homogenization for Dissipative Ordinary Differential Equations
We propose a high order numerical homogenization method for dissipative ...
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01/30/2021
An efficient mapped WENO scheme using approximate constant mapping
We present a novel mapping approach for WENO schemes through the use of ...
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11/08/2020
A modified adaptive improved mapped WENO method
We propose several adaptive control functions and a smoothing approximat...
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07/14/2020
A discontinuous least squares finite element method for time-harmonic Maxwell equations
We propose and analyze a discontinuous least squares finite element meth...
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03/04/2020
Reconstructed Discontinuous Approximation to Stokes Equation in A Sequential Least Squares Formulation
We propose a new least squares finite element method to solve the Stokes...
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12/12/2019
A Reconstructed Discontinuous Approximation to Monge-Ampere Equation in Least Square Formation
We propose a numerical method to solve the Monge-Ampere equation which a...
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11/11/2019