Abstract
In this paper, we propose a two-grid finite element method for solving coupled partial differential equations, e.g., the Schrödinger-type equation. With this method, the solution of the coupled equations on a fine grid is reduced to the solution of coupled equations on a much coarser grid together with the solution of decoupled equations on the fine grid. It is shown, both theoretically and numerically, that the resulting solution still achieves asymptotically optimal accuracy.
Original language | English (US) |
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Pages (from-to) | 1617-1626 |
Number of pages | 10 |
Journal | Mathematics of Computation |
Volume | 75 |
Issue number | 256 |
DOIs | |
State | Published - Oct 2006 |
All Science Journal Classification (ASJC) codes
- Algebra and Number Theory
- Computational Mathematics
- Applied Mathematics