 Multi-time-step domain decomposition and coupling methods for nonlinear parabolic problemsMichal Beneš and Jaroslav Kruis Applied Mathematics and Computation, 2018, vol. 319, issue C, 444-460 Abstract: In this paper we propose and examine a multi-time-step algorithm using a FETI-based domain decomposition method for nonlinear parabolic problems. The computational domain is divided into a set of smaller subdomains that may be integrated concurrently with their own time steps. The continuity condition at the interface is ensured employing local Lagrange multipliers. The equation of continuity of primary unknowns at the interface is written only at the so-called system time step. The subdomain problems are coupled together by requiring the Lagrange multipliers on the interface at the intermediate time steps to match a suitable interpolation of the values at the system time steps. This allows each subdomain to be solved with its own time step. The rigorous nonlinear stability is performed via the energy method. Several numerical examples will be solved to illustrate the overall performance of the proposed coupling method. Keywords: Multi-time-step methods; Subcycling; Domain decomposition; FETI method; Nonlinear parabolic problems (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:319:y:2018:i:c:p:444-460 DOI: 10.1016/j.amc.2017.04.026 Access Statistics for this article Applied Mathematics and Computation is currently edited by Theodore Simos More articles in Applied Mathematics and Computation from Elsevier |
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