Počet záznamů: 1
A comparison of deterministic and Bayesian inverse with application in micromechanics
- 1.
SYSNO ASEP 0498341 Druh ASEP J - Článek v odborném periodiku Zařazení RIV J - Článek v odborném periodiku Poddruh J Článek ve WOS Název A comparison of deterministic and Bayesian inverse with application in micromechanics Tvůrce(i) Blaheta, Radim (UGN-S) RID, SAI, ORCID
Béreš, Michal (UGN-S) ORCID, RID, SAI
Domesová, Simona (UGN-S) ORCID, SAI, RID
Pan, P. (CN)Celkový počet autorů 4 Zdroj.dok. Applications of Mathematics. - : Springer - ISSN 0862-7940
Roč. 63, č. 6 (2018), s. 665-686Poč.str. 23 s. Forma vydání Online - E Jazyk dok. eng - angličtina Země vyd. CZ - Česká republika Klíč. slova inverse problems ; Bayesian approach ; stochastic Galerkin method Vědní obor RIV BA - Obecná matematika Obor OECD Applied mathematics CEP LQ1602 GA MŠMT - Ministerstvo školství, mládeže a tělovýchovy Institucionální podpora UGN-S - RVO:68145535 UT WOS 000453844300005 DOI 10.21136/AM.2018.0195-18 Anotace The paper deals with formulation and numerical solution of problems of identification of material parameters for continuum mechanics problems in domains with heterogeneous microstructure. Due to a restricted number of measurements of quantities related to physical processes, we assume additional information about the microstructure geometry provided by CT scan or similar analysis. The inverse problems use output least squares cost functionals with values obtained from averages of state problem quantities over parts of the boundary and Tikhonov regularization. To include uncertainties in observed values, Bayesian inversion is also considered in order to obtain a statistical description of unknown material parameters from sampling provided by the Metropolis-Hastings algorithm accelerated by using the stochastic Galerkin method. The connection between Bayesian inversion and Tikhonov regularization and advantages of each approach are also discussed. Pracoviště Ústav geoniky Kontakt Lucie Gurková, lucie.gurkova@ugn.cas.cz, Tel.: 596 979 354 Rok sběru 2019 Elektronická adresa https://articles.math.cas.cz/10.21136/AM.2018.0195-18
Počet záznamů: 1