高波数Helmholtz方程的hp-连续内罚有限元方法的稳定性分析

Stability Estimates for hp-Version of the CIP-FEM for Helmholtz Equation with High Wave Number

分析和研究二维和三维区域上高波数Helmholtz散射问题的高阶连续内罚有限元方法,给出了连续内罚有限元方法是绝对稳定的证明。

This paper develops and analyzes some continuous interior penalty finite element method using piecewise polynomials for the Helmholtz equation in the two and three dimen- sions. It is proved that the proposed continuous interior penalty finite element methods are sta- ble （hence well-posed） without any mesh constraint.