Abstract
We present a finite volume scheme for solving elliptic boundary value problems with solutions that have one or a few small regions with high activity. The scheme results from combining the local defect correction method (LDC), introduced in [4], with standard finite volume discretizations on a global coarse and on local fine uniform grids. The iterative discretization method that is obtained in this way yields a discrete approximation of the continuous solution on a composite grid. It is shown, that the composite grid solution satisfies a discrete conservation property.
| Original language | English |
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| Pages (from-to) | 111-123 |
| Journal | Nieuw Archief voor Wiskunde |
| Volume | 4/17 |
| Issue number | 2 |
| Publication status | Published - 1999 |