Reliable estimates in the anisotropic heat conduction problems
Banichuk, N., Ivanova, S., Neittaanmäki, P., & Tuovinen, T. (2014). Reliable estimates in the anisotropic heat conduction problems. Journal of Uncertainty Analysis and Applications, 2 (August), 19. doi:10.1186/s40467-014-0019-z
Published in
Journal of Uncertainty Analysis and ApplicationsDate
2014Discipline
TietotekniikkaCopyright
© 2014 Springer. Further distribution has been made available under the terms of the Creative Commons Attribution License 4.0.
Abstract. The heat conduction problems for anisotropic bodies are studied taking into
account the uncertainties
in the material orientation. The best estimations of the upper and lower bounds
of the considered
energy dissipation functional are based on developing new approach c
onsisting in solution of some
optimization problems and finding the extremal internal material structures, whic
h realize minimal
and maximal dissipation. The motivation of this study comes from paper making pr
ocesses, and more
precisely, drying process, which consumes about 50% of the energy f
ed into the paper machine. The
understanding of the effect of uncertainties in the process arises from
structural properties of paper
will provide the possibility to optimize the drying system.
Publisher
SpringerOpenISSN Search the Publication Forum
2195-5468
Original source
http://www.juaa-journal.com/content/2/1/19/abstractMetadata
Show full item recordCollections
License
Except where otherwise noted, this item's license is described as © 2014 Springer. Further distribution has been made available under the terms of the Creative Commons Attribution License 4.0.
Related items
Showing items with similar title or keywords.
-
Uncertainties in the heat conduction problems and reliable estimates
Banichuk, Nikolay; Ivanova, Svetlana; Neittaanmäki, Pekka; Tuovinen, Tero (University of Jyväskylä, 2013)The heat conduction problems for anisotropic bodies are studied taking into account the uncertainties in the material orientation. The best estimations of the upper and lower bounds of the considered energy dissipation ... -
The Calderón problem in transversally anisotropic geometries
Ferreira, David Dos Santos; Kurylev, Yaroslav; Lassas, Matti; Salo, Mikko (European Mathematical Society Publishing House; European Mathematical Society, 2016)We consider the anisotropic Calder´on problem of recovering a conductivity matrix or a Riemannian metric from electrical boundary measurements in three and higher dimensions. In the earlier work [13], it was shown that ... -
The Linearized Calderón Problem in Transversally Anisotropic Geometries
Ferreira, David Dos Santos; Kurylev, Yaroslav; Lassas, Matti; Liimatainen, Tony; Salo, Mikko (Oxford University Press, 2020)In this article we study the linearized anisotropic Calderón problem. In a compact manifold with boundary, this problem amounts to showing that products of harmonic functions form a complete set. Assuming that the manifold ... -
Parameter identification for heterogeneous materials by optimal control approach with flux cost functionals
Haslinger, Jaroslav; Blaheta, Radim; Mäkinen, Raino A. E. (Elsevier, 2021)The paper deals with the identification of material parameters characterizing components in heterogeneous geocomposites provided that the interfaces separating different materials are known. We use the optimal control ... -
On stochastic modelling and reliability of systems with moving cracked material
Tirronen, Maria (University of Jyväskylä, 2015)In many industrial processes, such as printing paper, a material travels through a series of rollers unsupported and under longitudinal tension. The value of the tension has an important role in the system behaviour, ...