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Estimación en parámetros en problemas inversos

Authors: Quiroga, Andrés Agustín Ignacio;

Estimación en parámetros en problemas inversos

Abstract

En esta tesis se estudian problemas de optimización cuyas restricciones son ecuaciones en derivadas parciales parabólicas. En el primer caso se estima el coeficiente de difusión, correspondiente a un problema de difusión para realizar el chequeo detallado de los equipos de radiación ionizante. En los casos siguientes se estiman parámetros para modelos de invasión de tumores. Aquí, el parámetro a recuperar, es el que está asociado a mortalidad de las células sanas. Estos problemas se resolvieron usando el método adjunto y el método de elementos finitos, con adaptabilidad, para el tercer caso.

Tesis (Doctor en Matemática)--Universidad Nacional de Córdoba, Facultad de Matemática, Astronomía y Física, 2014.

Country
Argentina
Keywords

Problemas Inversos, Optimization, Non linear and linear partial differential equation of parabolic type, Ecuacionaes en derivadas parciales no lineales y lineales del tipo parabólico, Inverse Problems, Finite Elements Method, Optimización, Método de elementos finitos

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
Green