Homogenization and multigrid
For elliptic partial differential equations with periodically oscillating coefficients which may have large jumps, we prove robust convergence of a two-grid algorithm using a prolongation motivated by the theory of homogenization. The corresponding Galerkin operator on the coarse grid turns out to b...
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Dokumenttyp: | Article (Journal) |
| Sprache: | Englisch |
| Veröffentlicht: |
2001
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| In: |
Computing
Year: 2001, Jahrgang: 66, Heft: 1, Pages: 1-26 |
| ISSN: | 1436-5057 |
| DOI: | 10.1007/s006070170036 |
| Online-Zugang: | Resolving-System, Volltext: http://dx.doi.org/10.1007/s006070170036 Verlag, Volltext: https://link.springer.com/article/10.1007/s006070170036 
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| Verfasserangaben: | N. Neuss, W. Jäger, and G. Wittum |
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| 520 | |a For elliptic partial differential equations with periodically oscillating coefficients which may have large jumps, we prove robust convergence of a two-grid algorithm using a prolongation motivated by the theory of homogenization. The corresponding Galerkin operator on the coarse grid turns out to be a discretization of a diffusion operator with homogenized coefficients obtained by solving discrete cell problems. This two-grid method is then embedded inside a multi-grid cycle extending over both the fine and the coarse scale. | ||
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