We propose a continuous interior penalty finite element method designed for a third-order singularly perturbed problem. Using higher order polynomials on Shishkin-type layer-adapted meshes, a robust convergence has been proved in the corresponding energy norm. Moreover, we show numerical experiments which support our theoretical findings.
Bibliographical noteFunding Information:
The work of H. Zarin and the Lj. Teofanov was supported by the Ministry of Education, Science and Technological Development of the Republic of Serbia under Grant 174030.
- Interior penalty finite element method
- Layer-adapted mesh
- Singularly perturbed differential equation
- Third-order boundary value problem