| Ser. |
|
403
|
| Title |
|
A Generic Grid Interface for Parallel and Adaptive Scientific Computing. Part I: Abstract Framework
|
| Abstract |
|
We give a mathematically rigorous definition of a grid for algorithms solving
partial differential equations. Unlike previous approaches, our grids have a
hierarchical structure. This makes them suitable for geometric multigrid
algorithms and hierarchical local grid refinement. The description is also
general enough to include geometrically nonconforming grids. The definitions
in this article serve as the basis for an implementation of an abstract grid
interface as C++ classes in the DUNE.
|
| Author(s) |
|
Peter Bastian, Markus Blatt, Andreas Dedner, Christian Engwer, Robert Klöfkorn, Mario Ohlberger, Oliver Sander
|
| PS-File |
|
gridpaper_part1.ps
|
| PDF-File |
|
gridpaper_part1.pdf
|
| Reviewing Referee |
|
Prof. Dr. Dr. h.c. Peter Deuflhard |
| MSC |
|
65Y99 |
| Projects |
|
A2 |
| Keywords |
|
hierarchical grids, grid-based methods, Dune |
| |
|
|
