TY - CHAP
A1 - Bernstein, Swanhild
T1 - Lippmann-Schwingerâ€™s integral equation for quaternionic Dirac operators : Integral Representations for Solutions of Quaternionic Dirac-type equations
N2 - Maxwell's equations can be rewritten in terms of a Dirac operator D+a. The advantage is that in this setting Maxwell's equations are treated as a system of first order differential equations. To ensure the uniqueness of a non-homogeneous differential equation in the whole space additional conditions are needed.
KW - Quaternion
KW - Anwendung
Y1 - 2003
U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:gbv:wim2-20111215-2772
ER -
TY - CHAP
A1 - Bernstein, Swanhild
A1 - Richter, Matthias
T1 - The Use of Genetic Algorithms in Finite Element Model Identification
N2 - A realistic and reliable model is an important precondition for the simulation of revitalization tasks and the estimation of system properties of existing buildings. Thereby, the main focus lies on the parameter identification, the optimization strategies and the preparation of experiments. As usual structures are modeled by the finite element method. This as well as other techniques are based on idealizations and empiric material properties. Within one theory the parameters of the model should be approximated by gradually performed experiments and their analysis. This approximation method is performed by solving an optimization problem, which is usually non-convex, of high dimension and possesses a non-differentiable objective function. Therefore we use an optimization procedure based on genetic algorithms which was implemented by using the program package SLang...
KW - Finite-Elemente-Methode
KW - Genetischer Algorithmus
Y1 - 2003
U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:gbv:wim2-20111215-2769
ER -