A FETI-based mixed explicit–implicit multi-time-step method for parabolic problems

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21110%2F18%3A00315823" target="_blank" >RIV/68407700:21110/18:00315823 - isvavai.cz</a>
Result on the web
<a href="https://www.sciencedirect.com/science/article/pii/S0377042717305502" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0377042717305502</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.cam.2017.10.041" target="_blank" >10.1016/j.cam.2017.10.041</a>

Result language
angličtina
Original language name
A FETI-based mixed explicit–implicit multi-time-step method for parabolic problems
Original language description
Nonstationary partial differential equations are numerically solved by discretizing in space and then integrating over time using discrete solvers. In this paper we propose and examine a mixed subcycling time stepping strategy using FETI domain decomposition for parabolic problems (e.g. transient heat conduction). The computational domain is divided into a set of smaller subdomains that may be integrated sequentially with its own time steps and generalized trapezoidal -methods. The continuity condition at the interface is ensured using a dual Schur complement formulation. The rigorous stability analysis of the proposed algorithm is performed via the energy method. It was proved that the method is unconditionally stable provided in all subdomains . Moreover, the same analysis indicates that the mixed explicit/implicit Euler method is conditionally stable. Some example problems are presented to examine the rate of convergence, stability as well as accuracy of the mixed multi-time step algorithm.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10101 - Pure mathematics

Project
<a href="/en/project/GA14-21450S" target="_blank" >GA14-21450S: Efficient asynchronous numerical methods for coupled processes in civil engineering structures and geomaterials</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2018
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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