Anomaly detection in random heterogeneous media : Feynman-Kac formulae, stochastic homogenization and statistical inversion / Martin Simon ; with a foreword by Prof. Dr. Lassi Päivärinta.
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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| Format: | eBook |
| Language: | English |
| Published: |
Wiesbaden :
Springer Spektrum,
2015.
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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.