Abstract
Some new local and parallel finite element algorithms are proposed and analyzed in this paper for eigenvalue problems. With these algorithms, the solution of an eigenvalue problem on a fine grid is reduced to the solution of an eigenvalue problem on a relatively coarse grid together with solutions of some linear algebraic systems on fine grid by using some local and parallel procedure. A theoretical tool for analyzing these algorithms is some local error estimate that is also obtained in this paper for finite element approximations of eigenvectors on general shape-regular grids.
Original language | English (US) |
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Pages (from-to) | 185-200 |
Number of pages | 16 |
Journal | Acta Mathematicae Applicatae Sinica |
Volume | 18 |
Issue number | 2 |
DOIs | |
State | Published - 2002 |
All Science Journal Classification (ASJC) codes
- Applied Mathematics