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| HAL: hal-00175047, version 1 |
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| Parallelization in time through tensor-product space-time solvers |
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| Yvon Maday 1Einar M Rønquist 2 |
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| (2007-09-26) |
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| In this note, we extend the fast tensor-product algorithm for the simulation of time-dependent partial differential equations. We use the natural tensorization of the space-time domain to propose, after discretization, a set of independent problems, each one with the complexity of a single steady problem. This allows for an efficient parallel implementation that is already interesting on small architectures, but that can also be combined with standard domain-decomposition-based algorithms providing a further direction of parallelism on large computer platforms. Preliminary numerical simulations are presented for a one-dimensional unsteady heat equation. |
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| 1: | Laboratoire Jacques-Louis Lions (LJLL) |
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CNRS : UMR7598 – Université Pierre et Marie Curie (UPMC) - Paris VI |
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| 2: | Norwegian University of Science and Technology (NTNU) |
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Department of Mathematical Sciences |
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| Subject | : | Mathematics/Numerical Analysis |
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| Attached file list to this document: | |||||
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| hal-00175047, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00175047 | |
| oai:hal.archives-ouvertes.fr:hal-00175047 | |
| From: Christian David | |
| Submitted on: Saturday, 29 September 2007 16:25:05 | |
| Updated on: Sunday, 30 September 2007 09:57:22 | |
