BDDC for mixed-hybrid formulation of flow in porous media with combined mesh dimensions

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F15%3A00450643" target="_blank" >RIV/67985840:_____/15:00450643 - isvavai.cz</a>

Nalezeny alternativní kódy

RIV/46747885:24220/15:#0003367

Výsledek na webu

<a href="http://dx.doi.org/10.1002/nla.1991" target="_blank" >http://dx.doi.org/10.1002/nla.1991</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1002/nla.1991" target="_blank" >10.1002/nla.1991</a>

Jazyk výsledku

angličtina

Název v původním jazyce

BDDC for mixed-hybrid formulation of flow in porous media with combined mesh dimensions

Popis výsledku v původním jazyce

We extend the balancing domain decomposition by constraints (BDDC) method to flows in porous media discretised by mixed-hybrid finite elements with combined mesh dimensions. Such discretisations appear when major geological fractures are modelled by one-dimensional or two-dimensional elements inside three-dimensional domains. In this set-up, the global problem and the substructure problems have a symmetric saddle-point structure, containing a penalty? block due to the combination of meshes. We show thatthe problem can be reduced by means of iterative substructuring to an interface problem, which is symmetric and positive definite. The interface problem can thus be solved by conjugate gradients with the BDDC method as a preconditioner. A parallel implementation of this algorithm is incorporated into an existing software package for subsurface flow simulations. We study the performance of the iterative solver on several academic and real-world problems.

Název v anglickém jazyce

BDDC for mixed-hybrid formulation of flow in porous media with combined mesh dimensions

Popis výsledku anglicky

We extend the balancing domain decomposition by constraints (BDDC) method to flows in porous media discretised by mixed-hybrid finite elements with combined mesh dimensions. Such discretisations appear when major geological fractures are modelled by one-dimensional or two-dimensional elements inside three-dimensional domains. In this set-up, the global problem and the substructure problems have a symmetric saddle-point structure, containing a penalty? block due to the combination of meshes. We show thatthe problem can be reduced by means of iterative substructuring to an interface problem, which is symmetric and positive definite. The interface problem can thus be solved by conjugate gradients with the BDDC method as a preconditioner. A parallel implementation of this algorithm is incorporated into an existing software package for subsurface flow simulations. We study the performance of the iterative solver on several academic and real-world problems.

Druh

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

CEP obor

BA - Obecná matematika

OECD FORD obor

—

Projekt

<a href="/cs/project/GA14-02067S" target="_blank" >GA14-02067S: Pokročilé metody pro analýzu proudových polí</a><br>

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2015

Kód důvěrnosti údajů

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

Název periodika

Numerical Linear Algebra with Applications

ISSN

1070-5325

e-ISSN

—

Svazek periodika

22

Číslo periodika v rámci svazku

6

Stát vydavatele periodika

GB - Spojené království Velké Británie a Severního Irska

Počet stran výsledku

27

Strana od-do

903-929

Kód UT WoS článku

000368371500002

EID výsledku v databázi Scopus

2-s2.0-84955200717