95 citations · 110 across the 6 of their papers we have counts for
4 papers · 1 filter
Uniform error analysis of a rectangular Morley finite element method on a Shishkin mesh for a 4th-order singularly perturbed boundary value problem
Xiangyun Meng, Martin Stynes
The singularly perturbed reaction-diffusion problem is considered on the unit square in with homoge…
Convergence analysis of a weak Galerkin finite element method on a Shishkin mesh for a singularly perturbed fourth-order problem in 2D
Shicheng Liu, Xiangyun Meng, Qilong Zhai
We consider the singularly perturbed fourth-order boundary value problem on the unit square , with boundary conditions $u = \p…
Error analysis for a fractional-derivative parabolic problem on quasi-graded meshes using barrier functions
Natalia Kopteva, Xiangyun Meng
An initial-boundary value problem with a Caputo time derivative of fractional order is considered, solutions of which typically exhibit a singular behaviour at an initi…
Convergence analysis of the rectangular Morley element scheme for second order problem in arbitrary dimensions
XiangYun Meng, XueQin Yang, Shuo Zhang
In this paper, we present the convergence analysis of the rectangular Morley element scheme utilised on the second order problem in arbitrary dimensions. Specifically, we prove tha…