Multi-time-step Domain Decomposition Method with Non-matching Grids for Parabolic Problems

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21110%2F15%3A00224075" target="_blank" >RIV/68407700:21110/15:00224075 - isvavai.cz</a>

Výsledek na webu

<a href="http://dx.doi.org/10.1016/j.amc.2015.01.055" target="_blank" >http://dx.doi.org/10.1016/j.amc.2015.01.055</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.amc.2015.01.055" target="_blank" >10.1016/j.amc.2015.01.055</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Multi-time-step Domain Decomposition Method with Non-matching Grids for Parabolic Problems

Popis výsledku v původním jazyce

Evolution of time dependent physical quantities, such as current, heat etc., in composite materials are modelled by initial boundary value problems for parabolic PDEs. These physical quantities follow different evolution patterns in different parts of the computational domain depending on the material properties, size of constituent material subdomains, coupling scheme, etc. Therefore, the stability and accuracy requirements of a numerical integration scheme may necessitate domain dependent time discretization. Parabolic problems are usually solved by discretizing spatially using finite elements and then integrating over time using discrete solvers. We propose an asynchronous multi-domain time integration scheme for parabolic problems. For efficient parallel computing of large problems, we present the dual decomposition method with local Lagrange multipliers to ensure the continuity of the primary unknowns at the interface between subdomains. The proposed method enables us to use domai

Název v anglickém jazyce

Multi-time-step Domain Decomposition Method with Non-matching Grids for Parabolic Problems

Popis výsledku anglicky

Evolution of time dependent physical quantities, such as current, heat etc., in composite materials are modelled by initial boundary value problems for parabolic PDEs. These physical quantities follow different evolution patterns in different parts of the computational domain depending on the material properties, size of constituent material subdomains, coupling scheme, etc. Therefore, the stability and accuracy requirements of a numerical integration scheme may necessitate domain dependent time discretization. Parabolic problems are usually solved by discretizing spatially using finite elements and then integrating over time using discrete solvers. We propose an asynchronous multi-domain time integration scheme for parabolic problems. For efficient parallel computing of large problems, we present the dual decomposition method with local Lagrange multipliers to ensure the continuity of the primary unknowns at the interface between subdomains. The proposed method enables us to use domai

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

BA - Obecná matematika

OECD FORD obor

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Projekt

Výsledek vznikl pri realizaci vícero projektů. Více informací v záložce Projekty.

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 periodika

Applied Mathematics and Computation

ISSN

0096-3003

e-ISSN

—

Svazek periodika

267

Číslo periodika v rámci svazku

September

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

12

Strana od-do

571-582

Kód UT WoS článku

000361571100047

EID výsledku v databázi Scopus

2-s2.0-84922876591