• DocumentCode
    3759427
  • Title

    A High Accuracy Spectral Element Method for Solving Eigenvalue Problems

  • Author

    Weikun Shan;Huiyuan Li

  • Author_Institution
    Inst. of Software, Univ. of Chinese Acad. of Sci., Beijing, China
  • fYear
    2015
  • Firstpage
    472
  • Lastpage
    476
  • Abstract
    A triangular spectral element method is proposed and analyzed for the Laplacian Eigen value problem. The method is based on the Galerkin approximation with generalized Koornwinder polynomials. We detailedly describe the approximation scheme and implementation for solving the Laplacian Eigen value problem. Numerical experiments also indicate that the triangular spectral element method for solving the Eigen value problems on convex domain has the "spectral" accuracy, that is, exponential convergence rate.
  • Keywords
    "Eigenvalues and eigenfunctions","Finite element analysis","Laplace equations","Convergence","Jacobian matrices","Method of moments","Standards"
  • Publisher
    ieee
  • Conference_Titel
    Distributed Computing and Applications for Business Engineering and Science (DCABES), 2015 14th International Symposium on
  • Type

    conf

  • DOI
    10.1109/DCABES.2015.124
  • Filename
    7429658
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3759427