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• W2767215625 abstract "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 α-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 αk≥1∕2 in all subdomains Ωk. 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." @default.
• W2767215625 created "2017-11-17" @default.
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• W2767215625 date "2018-05-01" @default.
• W2767215625 modified "2023-10-17" @default.
• W2767215625 title "A FETI-based mixed explicit–implicit multi-time-step method for parabolic problems" @default.
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• W2767215625 doi "https://doi.org/10.1016/j.cam.2017.10.041" @default.
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