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 ${\epsilon }^2{\Delta }^{2}u-\mathrm{div}\left(c\nabla u\right)=f$ is considered on the unit square $\Omega$ in ${\mathbb{R}}^2$ with homoge…