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.
@article{702672,
title = {An asynchronous three-field domain decomposition method for first-order evolution problems},
booktitle = {Programs and Algorithms of Numerical Mathematics},
series = {GDML\_Books},
publisher = {Institute of Mathematics AS CR},
address = {Prague},
year = {2015},
pages = {118-123},
url = {http://dml.mathdoc.fr/item/702672}
}
Krupička, Lukáš; Beneš, Michal. An asynchronous three-field domain decomposition method for first-order evolution problems, dans Programs and Algorithms of Numerical Mathematics, GDML_Books, (2015), pp. 118-123. http://gdmltest.u-ga.fr/item/702672/