Počet záznamů: 1
Stable discretization of poroelasticity problems and efficient preconditioners for arising saddle point type matrices
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SYSNO ASEP 0427664 Druh ASEP J - Článek v odborném periodiku Zařazení RIV J - Článek v odborném periodiku Poddruh J Ostatní články Název Stable discretization of poroelasticity problems and efficient preconditioners for arising saddle point type matrices Tvůrce(i) Axelsson, Owe (UGN-S) RID
Blaheta, Radim (UGN-S) RID, SAI, ORCID
Byczanski, Petr (UGN-S)Celkový počet autorů 3 Zdroj.dok. Computing and Visualization in Science - ISSN 1432-9360
Roč. 15, č. 4 (2012), s. 191-207Poč.str. 17 s. Forma vydání Online - E Jazyk dok. eng - angličtina Země vyd. NE - Niger Klíč. slova poroelasticity ; saddle point matrices ; preconditioning ; stability of discretization Vědní obor RIV BA - Obecná matematika CEP ED1.1.00/02.0070 GA MŠMT - Ministerstvo školství, mládeže a tělovýchovy Institucionální podpora UGN-S - RVO:68145535 DOI 10.1007/s00791-013-0209-0 Anotace 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 are presented. 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. Pracoviště Ústav geoniky Kontakt Lucie Gurková, lucie.gurkova@ugn.cas.cz, Tel.: 596 979 354 Rok sběru 2015 Elektronická adresa http://link.springer.com/article/10.1007/s00791-013-0209-0
Počet záznamů: 1