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期刊名称: APPLICATIONS OF MATHEMATICS
Volume:63    Issue:6        Page:687-712
ISSN:0862-7940

Application of Calderon's inverse problem in civil engineering期刊论文

作者: Havelka J Sykora J
DOI:10.21136/AM.2018.0323-17

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页码: 687-712
被引频次: 0
出版者: ACAD SCIENCES CZECH REPUBLIC, INST MATHEMATICS,Springer
期刊名称: APPLICATIONS OF MATHEMATICS
ISSN: 0862-7940
卷期: Volume:63    Issue:6
语言: English
摘要: In specific fields of research such as preservation of historical buildings, medical imaging, geophysics and others, it is of particular interest to perform only a non-intrusive boundary measurements. The idea is to obtain comprehensive information about the material properties inside the considered domain while keeping the test sample intact. This paper is focused on such problems, i.e. synthesizing a physical model of interest with a boundary inverse value technique. The forward model is represented here by time dependent heat equation with transport parameters that are subsequently identified using a modified Calderon problem which is numerically solved by a regularized Gauss-Newton method. The proposed model setup is computationally verified for various domains, loading conditions and material distributions.
相关主题: boundary inverse value method, TOMOGRAPHY, MATHEMATICS, APPLIED, RECONSTRUCTION, ALGORITHM, GLOBAL UNIQUENESS, 35K05, Neumann-to-Dirichlet map, THERMAL-CONDUCTIVITY, Calderon problem, finite element method, diffusion equation, ELECTRODE MODELS, 65M32, Usage, Boundary value problems, Algorithms, Engineering research, Mathematical research, Research, Civil engineering,

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