Stable discretization of poroelasticity problems and efficient preconditioners for arising saddle point type matrices
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68145535%3A_____%2F12%3A00427664" target="_blank" >RIV/68145535:_____/12:00427664 - isvavai.cz</a>
Result on the web
<a href="http://link.springer.com/article/10.1007/s00791-013-0209-0" target="_blank" >http://link.springer.com/article/10.1007/s00791-013-0209-0</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s00791-013-0209-0" target="_blank" >10.1007/s00791-013-0209-0</a>
Alternative languages
Result language
angličtina
Original language name
Stable discretization of poroelasticity problems and efficient preconditioners for arising saddle point type matrices
Original language description
Poroelastic models arise in reservoir modeling and many other important applications. Under certain assumptions, they involve a time-dependent coupled system consisting of Navier?Lamé equations for the displacements, Darcy?s flow equation for the fluid velocity and a divergence constraint equation. Stability for infinite time of the continuous problem and, second and third order accurate, time discretized equations are shown. Methods to handle the lack of regularity at initial times are discussed and illustrated numerically. After discretization, at each time step this leads to a block matrix system in saddle point form. Mixed space discretization methods and a regularization method to stabilize the system and avoid locking in the pressure variable arepresented. A certain block matrix preconditioner is shown to cluster the eigenvalues of the preconditioned matrix about the unit value but needs inner iterations for certain matrix.
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
<a href="/en/project/ED1.1.00%2F02.0070" target="_blank" >ED1.1.00/02.0070: IT4Innovations Centre of Excellence</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2012
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Computing and Visualization in Science
ISSN
1432-9360
e-ISSN
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Volume of the periodical
15
Issue of the periodical within the volume
4
Country of publishing house
NE - THE FEDERAL REPUBLIC OF NIGERIA
Number of pages
17
Pages from-to
191-207
UT code for WoS article
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EID of the result in the Scopus database
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