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

Result code in 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>

Alternative codes found

RIV/46747885:24220/15:#0003367

Result on the web

<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>

Result language

angličtina

Original language name

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

Original language description

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.

Czech name

—

Czech description

—

Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

—

Project

<a href="/en/project/GA14-02067S" target="_blank" >GA14-02067S: Advanced methods for flow-field analysis</a><br>

Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2015

Confidentiality

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

Name of the periodical

Numerical Linear Algebra with Applications

ISSN

1070-5325

e-ISSN

—

Volume of the periodical

22

Issue of the periodical within the volume

6

Country of publishing house

GB - UNITED KINGDOM

Number of pages

27

Pages from-to

903-929

UT code for WoS article

000368371500002

EID of the result in the Scopus database

2-s2.0-84955200717