Eine allgemeine Methode zur Lösung von Inversen Problemen in geophysischen Systemen mit Hilfe der Finite-Elemente-Methode und der Metamodelltechnik

摘要

The inverse problem also known as parameter estimation or parameter identification is a common but very important task in the world of science and engineering. Solving an inverse problem means to find a proper set of parameters of a model, to be well fitted, to a given data set, which can be quite tough and time-consuming. This research work is therefore dedicated to a general approach of efficiently solving inverse problems in complex systems by applying finite element method together with metamodel techniques. The effectiveness and efficiency of the presented approach has been verified by both synthetic examples and a real case of Long Valley Caldera, CA, USA.