Numerical modeling of electromagnetic problems with the hybrid finite element, boundary integral, multilevel fast multipole, uniform geometrical theory of diffraction method [Elektronische Ressource] / von Andreas Tzoulis
Numerical Modeling of Electromagnetic Problems withthe Hybrid Finite Element - Boundary Integral -Multilevel Fast Multipole - Uniform Geometrical Theoryof Diffraction MethodVom Fachbereich Elektrotechnik und Informationstechnikder Technischen Universit¨ at Darmstadtzur Erlangungder Wurde¨ eines Doktor-Ingenieurs (Dr.-Ing.)genehmigteDissertationvonAndreas Tzoulis, M.Sc.geboren am 19. Juli 1976 in Munc¨ henDarmstadt 2009Referent: Prof. Dr.-Ing. Thomas WeilandKorreferent: EibertTag der Einreichung: 14. Oktober 2008Tag der mundlic¨ hen Prufung:¨ 20. April 2009D17Darmst¨ adter DissertationΣ τ ους γον είς µ ουTo my parentsAbstractIn the present thesis, a hybrid numerical method is presented for the solution of very largeand complex radiation and scattering electromagnetic problems, which combines the FiniteElement Boundary Integral (FEBI) technique and the Multilevel Fast Multipole Method(MLFMM) with the Uniform Geometrical Theory of Diffraction (UTD). The presented hy-brid approach is referred to as FEBI-MLFMM-UTD method and it combines for the firsttime a local method, a global fast Integral Equation (IE) method, and ray optical asymp-totic techniques.