A continuous interior penalty finite element method for a third-order singularly perturbed boundary value problem

作者：Zarin Helena^*; Roos Hans Gorg; Teofanov Ljiljana

来源：COMPUTATIONAL & APPLIED MATHEMATICS, 2018, 37(1): 175-190.

DOI：10.1007/s40314-016-0339-3

• Singularly perturbed differential equation
• Third-order boundary value problem
• Interior penalty finite element method
• Layer-adapted mesh

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.

• 出版日期2018-3