Finite elements/ boundary elements for electromagnetic interface problems, especially the skin effect [Elektronische Ressource] / Jorge Eliécer Ospino Portillo

Finite elements/boundaryelements for electromagneticinterface problems,especially the skin effectVon der Fakulta¨t fu¨r Mathematik und Physikder Gottfried Wilhelm Leibniz Universit¨at Hannoverzur Erlangung des GradesDoktor der NaturwissenschaftenDr. rer. nat.genehmigte DissertationvonM. Sc. Jorge Eli´ecer Ospino Portillogeboren am 21. August 1966 in El Banco / Kolumbien2011Referent: Prof. Dr. E. P. Stephan. Leibniz Universit¨at Hannover.Korreferent: PD. Dr. M. Maischak. Brunel University, Uxbridge, UK.Tag der Promotion: 04.02.2011iiTo Antonia, Valentina, Jesus David and Emmanuel.ivAbstractThis thesis deals with the coupling of finite elements and boundary elements for electro-3magnetic interface problems, especially the skin effect inR .The first part (Chapter 1) is dedicated to the study of transmission problems of elec-tromagnetic waves in materials with strong contrast. We report the ideas which weredeveloped by MacCamy and Stephan [30, 31], who consider the scattering of time-periodic electromagnetic fields by metallic obstacles, the eddy current problem. In thisinterface problem different sets of Maxwell equations must be solved in the obstacleand outside, while the tangential components of both electric and magnetic fields arecontinuous across the obstacle surface. We present two solution procedures.One is anasymptotic procedure which applies for large conductivity and reflects the skin effectin metals.