TY  - THES
T1  - High order boundary element methods
A1  - Weggler,Lucy
Y1  - 2012/01/11
N2  - The thesis is a major contribution to the state of research in the field of boundary element methods in general and to the electromagnetic engineering sciences in particular. The first contribution is the development and implementation of high order boundary element methods. It is explained how to set up a high order boundary element implementation which provides solvers for elliptic, Maxwell and mixed problems. The second contribution is a complete mathematical theory for a stabilized boundary variational formulation describing scattering problems. The stabilized formulation presented in the thesis is equivalent to the classical formulations, however, it does not suffer from the low-frequency break-down. The high order methods have been applied to the classical and stabilized formulations describing electromagnetic scattering and the theoretical results on asymptotic convergence and stability have been verified by the numerical computations.
KW  - Randelemente-Methode
KW  - Numerische Mathematik
KW  - Elektromagnetische Streuung
KW  - Elliptisches Randwertproblem
KW  - Maxwellsche Gleichungen
KW  - Elektrostatik
CY  - Saarbrücken
PB  - Universitäts- und Landesbibliothek
AD  - Postfach 151141, 66041 Saarbrücken
UR  - http://scidok.sulb.uni-saarland.de/volltexte/2012/4553
ER  -