Multi-time-step domain decomposition and coupling methods for nonlinear parabolic problems

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

Multi-time-step domain decomposition and coupling methods for nonlinear parabolic problems

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

Multi-time-step domain decomposition and coupling methods for nonlinear parabolic problems

Popis výsledku anglicky

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.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10101 - Pure mathematics

Projekt

<a href="/cs/project/GA14-21450S" target="_blank" >GA14-21450S: Efektivní asynchronní numerické metody pro sdružené procesy ve stavebních konstrukcích a geomateriálech</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2018

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Applied Mathematics and Computation

ISSN

0096-3003

e-ISSN

1873-5649

Svazek periodika

319

Číslo periodika v rámci svazku

February

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

17

Strana od-do

444-460

Kód UT WoS článku

000415906200035

EID výsledku v databázi Scopus

2-s2.0-85019075967