25 citations · 72 across the 23 of their papers we have counts for
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math.NA2021
An adaptive finite element method for two-dimensional elliptic equations with line Dirac sources
Huihui Cao, Hengguang Li, Nianyu Yi +1
In this paper, we propose a novel adaptive finite element method for an elliptic equation with line Dirac delta functions as a source term. We first study the well-posedness and gl…
math.NA2021
Positivity-preserving third order DG schemes for Poisson--Nernst--Planck equations
Hailiang Liu, Zhongming Wang, Peimeng Yin +1
In this paper, we design and analyze third order positivity-preserving discontinuous Galerkin (DG) schemes for solving the time-dependent system of Poisson--Nernst--Planck (PNP) eq…
math.NA2021★ 3 cited
Energy stable Runge-Kutta discontinuous Galerkin schemes for fourth order gradient flows
Hailiang Liu, Peimeng Yin
We present unconditionally energy stable Runge-Kutta (RK) discontinuous Galerkin (DG) schemes for solving a class of fourth order gradient flows. Our algorithm is geared toward arb…