3 papers
math.NA2022
Numerical integration rules with improved accuracy close to singularities
Sergio Amat, Zhilin Li, Juan Ruiz-Alvarez +2
Sometimes it is necessary to obtain a numerical integration using only discretised data. In some cases, the data contains singularities which position is known but does not coincid…
math.NA2021
A simple third order compact finite element method for 1D BVP
Baiying Dong, Zhilin Li
A simple third order compact finite element method is proposed for one-dimensional Sturm-Liouville boundary value problems. The key idea is based on the interpolation error estimat…
math.NA2019
On jump relations of anisotropic elliptic interface problems
Baiying Dong, Xiufang Feng, Zhilin Li
Almost all materials are anisotropic. In this paper, interface relations of anisotropic elliptic partial differential equations involving discontinuities across interfaces are deri…