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08/11/2023
A semi-implicit dynamical low-rank discontinuous Galerkin method for space homogeneous kinetic equations. Part I: emission and absorption
Dynamical low-rank approximation (DLRA) is an emerging tool for reducing...
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05/02/2023
Recovery type a posteriori error estimation of an adaptive finite element method for Cahn–Hilliard equation
In this paper, we derive a novel recovery type a posteriori error estima...
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04/17/2023
A C^0 finite element algorithm for the sixth order problem with simply supported boundary conditions
In this paper, we study the sixth order equation with the simply support...
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07/08/2022
A C^0 finite element method for the biharmonic problem with Dirichlet boundary conditions in a polygonal domain
In this paper, we study the biharmonic equation with Dirichlet boundary ...
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12/16/2021
An adaptive finite element method for two-dimensional elliptic equations with line Dirac sources
In this paper, we study an adaptive finite element method for the ellipt...
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01/29/2021
Positivity-preserving third order DG schemes for Poisson–Nernst–Planck equations
In this paper, we design and analyze third order positivity-preserving d...
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01/01/2021
Energy stable Runge-Kutta discontinuous Galerkin schemes for fourth order gradient flows
We present unconditionally energy stable Runge-Kutta (RK) discontinuous ...
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12/22/2020
A C^0 finite element method for the biharmonic problem with Navier boundary conditions in a polygonal domain
In this paper, we study the biharmonic equation with the Navier boundary...
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12/22/2020
Regularity and finite element approximation for two-dimensional elliptic equations with line Dirac sources
We study the elliptic equation with a line Dirac delta function as the s...
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08/27/2020
On the SAV-DG method for a class of fourth order gradient flows
For a class of fourth order gradient flow problems, integration of the s...
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12/21/2019
Unconditionally energy stable discontinuous Galerkin schemes for the Cahn-Hilliard equation
In this paper, we introduce novel discontinuous Galerkin (DG) schemes fo...
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10/01/2019
Unconditionally energy stable DG schemes for the Swift-Hohenberg equation
The Swift-Hohenberg equation as a central nonlinear model in modern phys...
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09/30/2019