Multi-time-step domain decomposition and coupling methods for nonlinear parabolic problems
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21110%2F18%3A00314461" target="_blank" >RIV/68407700:21110/18:00314461 - isvavai.cz</a>
Result on the web
<a href="http://www.sciencedirect.com/science/article/pii/S0096300317302783" target="_blank" >http://www.sciencedirect.com/science/article/pii/S0096300317302783</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.amc.2017.04.026" target="_blank" >10.1016/j.amc.2017.04.026</a>
Alternative languages
Result language
angličtina
Original language name
Multi-time-step domain decomposition and coupling methods for nonlinear parabolic problems
Original language description
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 do- main 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 lo- cal 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.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics
Result continuities
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)
Others
Publication year
2018
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Applied Mathematics and Computation
ISSN
0096-3003
e-ISSN
1873-5649
Volume of the periodical
319
Issue of the periodical within the volume
February
Country of publishing house
US - UNITED STATES
Number of pages
17
Pages from-to
444-460
UT code for WoS article
000415906200035
EID of the result in the Scopus database
2-s2.0-85019075967