Name
Title | ||
|---|---|---|
A finite volume scheme for solving elliptic boundary value problems on composite grids |
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 [11], 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. For the LDC method in its standard form, the discrete conservation property, which is one of the main attractive features of a finite volume method, is lost for the composite grid approximation. For the modified LDC method we present here, discrete conservation holds for the composite grid solution, too. |
Year | DOI | Venue |
|---|---|---|
1998 | 10.1007/BF02684382 | Computing |
Keywords | DocType | Volume |
elliptic boundary value problem,finite volume method | Journal | 61 |
Issue | ISSN | Citations |
4 | 0010-485X | 2 |
PageRank | References | Authors |
0.48 | 4 | 3 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| M. J. H. Anthonissen | 1 | 10 | 3.12 |
| B. van't Hof | 2 | 2 | 0.48 |
| Arnold Reusken | 3 | 305 | 44.91 |