A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä
Guaranteed and computable error bounds for approximations constructed by an iterative decoupling of the Biot problem (2021)
Kumar, K., Kyas, S., Nordbotten, J. M., & Repin, S. (2021). Guaranteed and computable error bounds for approximations constructed by an iterative decoupling of the Biot problem. Computers and Mathematics with Applications , 91, 122-149. https://doi.org/10.1016/j.camwa.2020.05.005
JYU-tekijät tai -toimittajat
Julkaisun tiedot
Julkaisun kaikki tekijät tai toimittajat: Kumar, Kundan; Kyas, Svetlana; Nordbotten, Jan Martin; Repin, Sergey
Lehti tai sarja: Computers and Mathematics with Applications
ISSN: 0898-1221
eISSN: 1873-7668
Julkaisuvuosi: 2021
Volyymi: 91
Artikkelin sivunumerot: 122-149
Kustantaja: Elsevier
Julkaisumaa: Britannia
Julkaisun kieli: englanti
DOI: https://doi.org/10.1016/j.camwa.2020.05.005
Julkaisun avoin saatavuus: Avoimesti saatavilla
Julkaisukanavan avoin saatavuus: Osittain avoin julkaisukanava
Julkaisu on rinnakkaistallennettu (JYX): https://jyx.jyu.fi/handle/123456789/70911
Julkaisu on rinnakkaistallennettu: https://arxiv.org/abs/1808.08036
Tiivistelmä
The paper is concerned with guaranteed a posteriori error estimates for a class of evolutionary problems related to poroelastic media governed by the quasi-static linear Biot equations. The system is decoupled by employing the fixed-stress split scheme, which leads to an iteratively solved semi-discrete system. The error bounds are derived by combining a posteriori estimates for contractive mappings with functional type error control for elliptic partial differential equations. The estimates are applicable to any approximation in the admissible functional space and are independent of the discretization method. They are fully computable, do not contain mesh-dependent constants, and provide reliable global estimates of the error measured in the energy norm. Moreover, they suggest efficient error indicators for the distribution of local errors and can be used in adaptive procedures.
YSO-asiasanat: osittaisdifferentiaaliyhtälöt; numeerinen analyysi; approksimointi; virheanalyysi
Vapaat asiasanat: Biot problem; fixed-stress split iterative scheme; a posteriori error estimates; contraction mappings
Liittyvät organisaatiot
OKM-raportointi: Kyllä
Raportointivuosi: 2021
JUFO-taso: 1