Haijun WU, Professor, Nanjing University

Weiying Cheng, Professor

Dispersion Analysis of CIP–FEM for Helmholtz Equation

9:00-10:00 January 18(Wednesday) ，N714

When solving the Helmholtz equation numerically, the accuracy of numerical solution deteriorates as the wave number k increases, known as `pollution effect' which is directly related to the phase difference between the exact and numerical solutions, caused by the numerical dispersion. In this paper, we propose a dispersion analysis for the continuous interior penalty finite element method (CIP-FEM) and derive an explicit formula of the penalty parameter for the pth order CIP-FEM on tensor product (Cartesian) meshes.