000021307 001__ 21307
000021307 005__ 20170522124348.0
000021307 04107 $$aeng
000021307 046__ $$k2017-05-15
000021307 100__ $$aHavelka, J.
000021307 24500 $$aCALDERÓN’S INVERSE PROBLEM IN CIVIL ENGINEERING

000021307 24630 $$n23.$$pEngineering Mechanics 2017
000021307 260__ $$bBrno University of Technology, Institute of Solid Mechanics, Mechatronics and Biomechanics, Brno
000021307 506__ $$arestricted
000021307 520__ $$2eng$$aIn specific fields of research such as treatment of historical structures, medical imaging, material science, geophysics and others, it is of particular interest to perform only a non-intrusive boundary measurement. The idea is to obtain a comprehensive information about the material properties inside the domain under consideration while maintaining the test sample intact. This contribution is focused on such problems i.e. synthesizing a physical model of interest with a boundary inverse techniques. The forward model is represented by a basic time dependent diffusion equation with Finite Element (FE) discretization and the parameters are subsequently recovered using a modified Calderon problem principle, numerically solved by a regularized Gauss-Newton method. We provide a basic framework, implementation details and modification of general constrains originally derived for a standard setup of Calderon problem. The proposed model setup was numerically verified for various domains, load conditions and material field distributions. Both steady-state and time dependent cases are studied.

000021307 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000021307 653__ $$aBoundary inverse, Finite Element Method, Calderón’s problem, Heat transfer.

000021307 7112_ $$aEngineering Mechanics 2017$$cSvratka, CZ$$d2017-05-15 / 2017-05-18$$gEM2017
000021307 720__ $$aHavelka, J.$$iKučerová, A.$$iSýkora, J.
000021307 8560_ $$ffischerc@itam.cas.cz
000021307 8564_ $$s1162979$$uhttps://invenio.itam.cas.cz/record/21307/files/0370.pdf$$yOriginal version of the author's contribution in proceedings, page 370, section SOL.
000021307 962__ $$r21225
000021307 980__ $$aPAPER