35 citations · 172 across the 30 of their papers we have counts for
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On explicit form of the FEM stiffness matrix for the integral fractional Laplacian on non-uniform meshes
Hongbin Chen, Changtao Sheng, Li-Lian Wang
We derive exact form of the piecewise-linear finite element stiffness matrix on general non-uniform meshes for the integral fractional Laplacian operator in one dimension, where th…
On diagonal dominance of FEM stiffness matrix of fractional Laplacian and maximum principle preserving schemes for fractional Allen-Cahn equation
Hongyan Liu, Changtao Sheng, Li-Lian Wang +1
In this paper, we study diagonal dominance of the stiffness matrix resulted from the piecewise linear finite element discretisation of the integral fractional Laplacian under globa…
Analysis of a Backward Euler-type Scheme for Maxwell's Equations in a Havriliak-Negami Dispersive Medium
Yubo Yang, Li-Lian Wang, Fanhai Zeng
For the Maxwell's equations in a Havriliak-Negami (H-N) dispersive medium, the associated energy dissipation law has not been settled at both continuous level and discrete level. I…
Optimal error estimates for Legendre expansions of singular functions with fractional derivatives of bounded variation
Wenjie Liu, Li-Lian Wang, Boying Wu
We present a new fractional Taylor formula for singular functions whose Caputo fractional derivatives are of bounded variation. It bridges and ``interpolates" the usual Taylor form…
On time-domain NRBC for Maxwell's equations and its application in accurate simulation of electromagnetic invisibility cloaks
Bo Wang, Zhiguo Yang, Lilian Wang +1
In this paper, we present analytic formulas of the temporal convolution kernel functions involved in the time-domain non-reflecting boundary condition (NRBC) for the electromagneti…