The parameter identification in the Stokes system with threshold slip boundary conditions
Haslinger, J., & Mäkinen, R. A. E. (2020). The parameter identification in the Stokes system with threshold slip boundary conditions. ZAMM : Zeitschrift für Angewandte Mathematik und Mechanik, 100(5), Article e201900209. https://doi.org/10.1002/zamm.201900209
Julkaistu sarjassa
ZAMM : Zeitschrift für Angewandte Mathematik und MechanikPäivämäärä
2020Tekijänoikeudet
© 2020 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim
The paper is devoted to an identification of the slip bound function g in the Stokes system with threshold slip boundary conditions assuming that g depends on the tangential velocity 𝑢𝜏 . To this end the optimal control approach is used. To remove its nonsmoothness we use a regularized form of the slip conditions in the state problem. The mutual relation between solutions to the original optimization problem and the problems with regularized states is analyzed. The paper is completed by numerical experiments.
Julkaisija
Wiley-VCH VerlagISSN Hae Julkaisufoorumista
0044-2267Asiasanat
Julkaisu tutkimustietojärjestelmässä
https://converis.jyu.fi/converis/portal/detail/Publication/34780066
Metadata
Näytä kaikki kuvailutiedotKokoelmat
Lisätietoja rahoituksesta
The first author acknowledges the support by the grant No. 17‐01747S of the Czech Science Foundation.Lisenssi
Samankaltainen aineisto
Näytetään aineistoja, joilla on samankaltainen nimeke tai asiasanat.
-
Shape optimization for Stokes problem with threshold slip boundary conditions
Haslinger, Jaroslav; Mäkinen, Raino; Stebel, Jan (The American Institute of Mathematical Sciences, 2017)This paper deals with shape optimization of systems governed by the Stokes flow with threshold slip boundary conditions. The stability of solutions to the state problem with respect to a class of domains is studied. ... -
Finite element approximation for a div-rot system with mixed boundary conditions in non-smooth plane domains
Křížek, Michal; Neittaanmäki, Pekka (Československá akademie věd. Matematický ústav., 1984)The authors examine a finite element method for the numerical approximation of the solution to a div-rot system with mixed boundary conditions in bounded plane domains with piecewise smooth boundary. The solvability of the ... -
Quasihyperbolic boundary condition: Compactness of the inner boundary
Lammi, Päivi (University of Illinois, 2011)We prove that if a metric space satisfies a suitable growth condition in the quasihyperbolic metric and the Gehring–Hayman theorem in the original metric, then the inner boundary of the space is homeomorphic to the Gromov ... -
On the numerical solution of the distributed parameter identification problem
Tai, Xue-Cheng; Neittaanmäki, Pekka (Birkhäuser, 1991)A new error estimate is derived for the numerical identification of a distributed parameter a(x) in a two point boundary value problem, for the case that the finite element method and the fit-to-data output-least-squares ... -
A linear approach for the nonlinear distributed parameter identification problem
Tai, Xue-Cheng; Neittaanmäki, Pekka (Birkhäuser, 1991)In identifying the nonlinear distributed parameters we propose an approach, which enables us to identify the nonlinear distributed parameters by just solving linear problems. In this approach we just need to identify linear ...
Ellei toisin mainittu, julkisesti saatavilla olevia JYX-metatietoja (poislukien tiivistelmät) saa vapaasti uudelleenkäyttää CC0-lisenssillä.