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08/15/2023
Exponentially-fitted finite elements for H( curl) and H( div) convection-diffusion problems
This paper presents a novel approach to the construction of the lowest o...
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07/22/2023
A Monotone Discretization for the Fractional Obstacle Problem
We introduce a novel monotone discretization method for addressing obsta...
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05/31/2023
A hybridizable discontinuous Galerkin method for magnetic advection-diffusion problems
We propose and analyze a hybridizable discontinuous Galerkin (HDG) metho...
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03/10/2023
Two families of n-rectangle nonconforming finite elements for sixth-order elliptic equations
In this paper, we propose two families of nonconforming finite elements ...
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08/02/2022
Discontinuous Galerkin methods for magnetic advection-diffusion problems
We devise and analyze a class of the primal discontinuous Galerkin metho...
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06/26/2022
A C^0 finite element approximation of planar oblique derivative problems in non-divergence form
This paper proposes a C^0 (non-Lagrange) primal finite element approxima...
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09/20/2021
A monotone discretization for integral fractional Laplacian on bounded Lipschitz domains: Pointwise error estimates under Hölder regularity
We propose a monotone discretization for the integral fractional Laplace...
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08/11/2021
Auxiliary Space Preconditioners for C^0 Finite Element Approximation of Hamilton–Jacobi–Bellman Equations with Cordes Coefficients
In the past decade, there are many works on the finite element methods f...
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06/28/2021
Finite Element Approximations of a Class of Nonlinear Stochastic Wave Equation with Multiplicative Noise
Wave propagation problems have many applications in physics and engineer...
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03/23/2021
Robust BPX preconditioner for the integral fractional Laplacian on bounded domains
We propose and analyze a robust BPX preconditioner for the integral frac...
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07/26/2020
Parallel-in-time high-order BDF schemes for diffusion and subdiffusion equations
In this paper, we propose a parallel-in-time algorithm for approximately...
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03/31/2020
On the unisolvence for the quasi-polynomial spaces of differential forms
We consider quasi-polynomial spaces of differential forms defined as wei...
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11/09/2019
C^0 finite element approximations of linear elliptic equations in non-divergence form and Hamilton-Jacobi-Bellman equations with Cordes coefficients
This paper is concerned with C^0 finite element approximations of the li...
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08/22/2019
Extended Galerkin Method
A general framework, known as extended Galerkin method, is presented in ...
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07/02/2019