Anomaly Detection in Random Heterogeneous Media Feynman-Kac Formulae, Stochastic Homogenization and Statistical Inversion /
This monograph is concerned with the analysis and numerical solution of a stochastic inverse anomaly detection problem in electrical impedance tomography (EIT). Martin Simon studies the problem of detecting a parameterized anomaly in an isotropic, stationary and ergodic conductivity random field who...
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| Language: | English |
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Wiesbaden :
Springer Fachmedien Wiesbaden : Imprint: Springer Spektrum,
2015.
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| Edition: | 1st ed. 2015. |
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| Online Access: | https://doi.org/10.1007/978-3-658-10993-6 |
Table of Contents:
- Part I: Probabilistic interpretation of EIT
- Mathematical setting.- Feynman-Kac formulae
- Part II: Anomaly detection in heterogeneous media.- Stochastic homogenization: Theory and numerics.- Statistical inversion.- Appendix A Basic Dirichlet form theory.- Appendix B Random field models.- Appendix C FEM discretization of the forward problem.