Identification problems with given material interfaces

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68145535%3A_____%2F17%3A00482339" target="_blank" >RIV/68145535:_____/17:00482339 - isvavai.cz</a>

Výsledek na webu

<a href="http://www.sciencedirect.com/science/article/pii/S0377042716302953" target="_blank" >http://www.sciencedirect.com/science/article/pii/S0377042716302953</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.cam.2016.06.023" target="_blank" >10.1016/j.cam.2016.06.023</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Identification problems with given material interfaces

Popis výsledku v původním jazyce

This paper is devoted to the identification of coefficients in scalar elliptic partial differentialnequations using an optimal control approach. The coefficients usually can be interpretednas material characteristics and play the role of the control variable. The paper focuses onnprocesses in domains which can be split into a finite number of materially homogeneousnsubdomains, i.e. the coefficients to be identified are piecewise constant on them. Innaddition, we assume that the material interfaces are a priori known.Weprove the existencenof at least one solution of the optimal control problem for a large class of cost functionalsnand show that solutions can be obtained as limits of solutions to the problems whichnare governed by finite element discretizations of the state equations. Further, the unifiednalgebraic sensitivity analysis of the first and the second order for several least squares typencost functions is investigated. Finally, a model problem of the identification of coefficientsncharacterizing hydraulic conductivity by pumping tests in groundwater flow modeling isnnumerically solved using the sequential approach and the scalarization technique.

Název v anglickém jazyce

Identification problems with given material interfaces

Popis výsledku anglicky

This paper is devoted to the identification of coefficients in scalar elliptic partial differentialnequations using an optimal control approach. The coefficients usually can be interpretednas material characteristics and play the role of the control variable. The paper focuses onnprocesses in domains which can be split into a finite number of materially homogeneousnsubdomains, i.e. the coefficients to be identified are piecewise constant on them. Innaddition, we assume that the material interfaces are a priori known.Weprove the existencenof at least one solution of the optimal control problem for a large class of cost functionalsnand show that solutions can be obtained as limits of solutions to the problems whichnare governed by finite element discretizations of the state equations. Further, the unifiednalgebraic sensitivity analysis of the first and the second order for several least squares typencost functions is investigated. Finally, a model problem of the identification of coefficientsncharacterizing hydraulic conductivity by pumping tests in groundwater flow modeling isnnumerically solved using the sequential approach and the scalarization technique.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10102 - Applied mathematics

Projekt

Výsledek vznikl pri realizaci vícero projektů. Více informací v záložce Projekty.

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2017

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Journal of Computational and Applied Mathematics

ISSN

0377-0427

e-ISSN

—

Svazek periodika

310

Číslo periodika v rámci svazku

January 2017

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

14

Strana od-do

129-142

Kód UT WoS článku

000384780400011

EID výsledku v databázi Scopus

2-s2.0-84978792064