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