A triangular spectral method for the Stokes eigenvalue problem by the stream function formulation

作者：Cao Junying; Wang Ziqiang; Chen Lizhen^*

来源：Numerical Methods for Partial Differential Equations, 2018, 34(3): 825-837.

DOI：10.1002/num.22229

• error estimation
• Stokes eigenvalue
• triangle spectral method

An efficient spectral method is developed in this paper for the two-dimensional Stokes eigenvalues on arbitrary triangle. By using the spectral theory of compact operator and approximate property of orthogonal polynomial, we give the error estimate of the approximate eigenvalues and eigenfunctions. In addition, we also present some numerical results to show the validity of our algorithm and the correctness of the theoretical results.

• 出版日期2018-5
• 单位北京计算科学研究中心