Künzel Model and Boundary Inverse Problem

Jan Havelka; Jan Sýkora

doi:10.4028/www.scientific.net/AMR.1144.115

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HomeAdvanced Materials ResearchAdvanced Materials Research Vol. 1144Künzel Model and Boundary Inverse Problem

Künzel Model and Boundary Inverse Problem

Abstract:

In order to obtain material properties of a given system it is convenient in many casesto perform only noninvasive, i.e. boundary measurements. Our interest is then focused on buildingmaterials and their functionality when exposed to heat and moisture. To describe the underlying phenomena of heat and moisture transfer we use Künzel model with stochastic description of materialproperties for its relative simplicity and sufficient accuracy. For the inverse procedure weintend to utilize the Calderón’s problem framework which is regularly used in medical imaging asElectrical Impedance Tomography and is based on knowing Dirichlet-to-Neumann or Neumannto-Dirichlet map.Overall this work serves as a preliminary study of both aforementioned computational models andits goal is therefore to build up a solid foundations for further redefinition of both models in order tofit the realistic loading conditions for building structures.

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Periodical:

Advanced Materials Research (Volume 1144)

Pages:

115-120

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.1144.115

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Online since:

March 2017

Authors:

Jan Havelka*, Jan Sýkora

Keywords:

Calderón Problem, Coupled Heat and Moisture Transport, Stochastic Finite Element Method

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