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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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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Simon, Martin (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Wiesbaden : Springer Fachmedien Wiesbaden : Imprint: Springer Spektrum, 2015.
Edición:1st ed. 2015.
Temas:
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • 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.