Convergence of Parareal with spatial coarsening
The effect is investigated of using a reduced spatial resolution in the coarse propagator of the time‐parallel Parareal method for a finite difference discretization of the linear advection‐diffusion equation. It is found that convergence can critically depend on the order of the interpolation used...
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| Published in | Proceedings in applied mathematics and mechanics Vol. 14; no. 1; pp. 1031 - 1034 |
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| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
Berlin
WILEY-VCH Verlag
01.12.2014
WILEY‐VCH Verlag |
| Online Access | Get full text |
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| Summary: | The effect is investigated of using a reduced spatial resolution in the coarse propagator of the time‐parallel Parareal method for a finite difference discretization of the linear advection‐diffusion equation. It is found that convergence can critically depend on the order of the interpolation used to transfer the coarse propagator solution to the fine mesh in the correction step. The effect also strongly depends on the employed spatial and temporal resolution. (© 2014 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim) |
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| Bibliography: | istex:8CDB1C28CE8B9D439576D2D94F7A22F9620F2585 ArticleID:PAMM201410490 ark:/67375/WNG-3JQJVSS1-7 |
| ISSN: | 1617-7061 1617-7061 |
| DOI: | 10.1002/pamm.201410490 |