Abstract
In this paper, we discuss the finite volume element method of P1-nonconforming quadrilateral element for elliptic problems and obtain optimal error estimates for general quadrilateral partition. An optimal cascadic multigrid algorithm is proposed to solve the non-symmetric large-scale system resulting from such discretization. Numerical experiments are reported to support our theoretical results.
| Original language | English |
|---|---|
| Pages (from-to) | 59-80 |
| Number of pages | 22 |
| Journal | Journal of Computational Mathematics |
| Volume | 24 |
| Issue number | 1 |
| Publication status | Published - Jan 2006 |
Keywords
- Cascadic multigrid
- Elliptic problems
- Finite volume element method