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03/16/2023
Weak discrete maximum principle of isoparametric finite element methods in curvilinear polyhedra
The weak maximum principle of the isoparametric finite element method is...
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02/10/2023
A Non-gradient DG method for second-order Elliptic Equations in the Non-divergence Form
L^1 based optimization is widely used in image denoising, machine learni...
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11/24/2022
Error estimates for the scalar auxiliary variable (SAV) scheme to the Cahn-Hilliard equation
The optimal error estimate that depending only on the polynomial degree ...
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03/23/2022
Spectral analysis of a mixed method for linear elasticity
The purpose of this paper is to analyze a mixed method for linear elasti...
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03/18/2022
New analysis of Mixed finite element methods for incompressible Magnetohydrodynamics
The paper focuses on a new error analysis of a class of mixed FEMs for s...
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10/20/2021
A C^0 interior penalty method for mth-Laplace equation
In this paper, we propose a C^0 interior penalty method for mth-Laplace ...
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03/09/2021
The pointwise stabilities of piecewise linear finite element method on non-obtuse tetrahedral meshes of nonconvex polyhedra
Let Ω be a Lipschitz polyhedral (can be nonconvex) domain in ℝ^3, and V_...
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07/27/2020
A convergent post-processed discontinuous Galerkin method for incompressible flow with variable density
A linearized semi-implicit unconditionally stable decoupled fully discre...
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05/24/2020
A mixed finite element scheme for biharmonic equation with variable coefficient and von Kármán equations
In this paper, a new mixed finite element scheme using element-wise stab...
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03/23/2020
Analysis of a semi-implicit structure-preserving finite element method for the nonstationary incompressible Magnetohydrodynamics equations
We revise the structure-preserving finite element method in [K. Hu, Y. M...
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06/27/2019