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Title: An asynchronous three-field domain decomposition method for first-order evolution problems (English)
Author: Krupička, Lukáš
Author: Beneš, Michal
Language: English
Journal: Programs and Algorithms of Numerical Mathematics
Volume: Proceedings of Seminar. Dolní Maxov, June 8-13, 2014
Issue: 2014
Pages: 118-123
Category: math
Summary: We present an asynchronous multi-domain time integration algorithm with a dual domain decomposition method for the initial boundary-value problems for a parabolic equation. For efficient parallel computing, we apply the three-field domain decomposition method with local Lagrange multipliers to ensure the continuity of the primary unknowns at the interface between subdomains. The implicit method for time discretization and the multi-domain spatial decomposition enable us to use different time steps (subcycling) on different parts of a computational domain, and thus efficiently capture the underlying physics with less computational effort. We illustrate the performance of the proposed multi-domain time integrator by means of a simple numerical example. (English)
Keyword: asynchronous domain decomposition
Keyword: time-stepping
Keyword: first-order evolution problem
MSC: 65M55
Date available: 2015-04-20T06:13:09Z
Last updated: 2023-06-05
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