Anomaly Detection in Random Heterogeneous Media Feynman-Kac Formulae, Stochastic Homogenization and Statistical Inversion /

• Κύριος συγγραφέας: Simon, Martin (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Wiesbaden : Springer Fachmedien Wiesbaden : Imprint: Springer Spektrum, 2015.
• Έκδοση: 1st ed. 2015.
• Θέματα: Mathematics.; Partial differential equations.; Probabilities.; Physics.; Partial Differential Equations.; Probability Theory and Stochastic Processes.; Numerical and Computational Physics.

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...

Πίνακας περιεχομένων:

• 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.