武海军教授:Dispersion Analysis of CIP–FEM for Helmholtz Equation
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars
Speaker:
武海军教授,南京大学
Inviter:
郑伟英研究员
Title:
Dispersion Analysis of CIP–FEM for Helmholtz Equation
Language:
Chinese
Time & Venue:
2023.01.18 09:00-10:00 南楼714
Abstract:
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