Asynchronous time integration of parabolic problems in composite media

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21110%2F15%3A00227346" target="_blank" >RIV/68407700:21110/15:00227346 - isvavai.cz</a>

Výsledek na webu

<a href="http://scitation.aip.org/content/aip/proceeding/aipcp/10.1063/1.4913084" target="_blank" >http://scitation.aip.org/content/aip/proceeding/aipcp/10.1063/1.4913084</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1063/1.4913084" target="_blank" >10.1063/1.4913084</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Asynchronous time integration of parabolic problems in composite media

Popis výsledku v původním jazyce

We propose the asynchronous multi-domain numerical time integration algorithms for initial boundary-value problems of parabolic type. Parabolic PDE?s are commonly solved by discretizing spatially using finite elements and then integrating over time usingdiscrete solvers. For efficient parallel computing of large problems, we present the dual domain decomposition method with local Lagrange multipliers to ensure the continuity of the primary unknowns at the interface between subdomains. As is well-known,the stability and accuracy requirements may necessitate different time steps for different domains, depending on material properties, element size, coupling scheme, etc. We propose a multi-time-step coupling method which enables us to use different methods and different time steps on different parts of a computational domain and provides a powerful approach to solving large scale problems very efficiently and accurately.

Název v anglickém jazyce

Asynchronous time integration of parabolic problems in composite media

Popis výsledku anglicky

We propose the asynchronous multi-domain numerical time integration algorithms for initial boundary-value problems of parabolic type. Parabolic PDE?s are commonly solved by discretizing spatially using finite elements and then integrating over time usingdiscrete solvers. For efficient parallel computing of large problems, we present the dual domain decomposition method with local Lagrange multipliers to ensure the continuity of the primary unknowns at the interface between subdomains. As is well-known,the stability and accuracy requirements may necessitate different time steps for different domains, depending on material properties, element size, coupling scheme, etc. We propose a multi-time-step coupling method which enables us to use different methods and different time steps on different parts of a computational domain and provides a powerful approach to solving large scale problems very efficiently and accurately.

Druh

D - Stať ve sborníku

CEP obor

BA - Obecná matematika

OECD FORD obor

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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

2015

Kód důvěrnosti údajů

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

Název statě ve sborníku

PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2014 (ICNAAM-2014)

ISBN

978-0-7354-1287-3

ISSN

0094-243X

e-ISSN

—

Počet stran výsledku

4

Strana od-do

"850029-1"-"850029-4"

Název nakladatele

AIP Conference Proceedings

Místo vydání

New York

Místo konání akce

Rhodes, Greece

Datum konání akce

22. 9. 2014

Typ akce podle státní příslušnosti

WRD - Celosvětová akce

Kód UT WoS článku

000355339705081