Efficient Spectral-Galerkin Method for eigenvalue problems
- 10.2991/csss-14.2014.23How to use a DOI?
- eigenvalue; iterated galerkin method; priori error estimates; legendre polynomia
we provide a priori error estimates for linear elliptic eigenvalue problems based on the spectral-Galerkin method, and also provide an efficient Galerkin method is proposed for solving this problems,with this scheme ,the solution of an eigenvalue problem on a big spectral space is reduced to the solution of an eigenvalue problem on a small spectral space and and solution of a linear algebraic system on the big spectral space and the resulting solution still maintains an asymptotically optimal accury.
- © 2014, the Authors. Published by Atlantis Press.
- Open Access
- This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).
Cite this article
TY - CONF AU - Jun Zhang AU - Xinyue Fan PY - 2014/06 DA - 2014/06 TI - Efficient Spectral-Galerkin Method for eigenvalue problems BT - Proceedings of the 3rd International Conference on Computer Science and Service System PB - Atlantis Press SP - 102 EP - 106 SN - 1951-6851 UR - https://doi.org/10.2991/csss-14.2014.23 DO - 10.2991/csss-14.2014.23 ID - Zhang2014/06 ER -