From Surface Equivalence Principle to Modular Domain Decomposition

  • Florian MuthEmail author
  • Hermann Schneider
  • Timo Euler
Conference paper
Part of the Lecture Notes in Computational Science and Engineering book series (LNCSE, volume 116)


For the simulation of complex models and complete systems whose components involve different electromagnetic scales and properties, it is often appropriate to apply domain decomposition methods. Based on the surface equivalence principle, the aim of the presented project is to develop a modular, black box framework for domain decomposition which is capable of assigning any formulation and numerical method to a certain subdomain. In this approach, equivalent surface currents act as interface between the subdomains exchanging boundary data. Here, the focus is on coupling finite element and boundary element frequency domain methods driven by application examples like antenna placement. First results and encountered challenges will be presented.


Domain Decomposition Equivalence Principle Domain Decomposition Method Coupling Interface Reflector Antenna 
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  1. W.C. Chew, J.-M. Jin, E. Michielssen, J. Song, Fast and Efficient Algorithms in Computational Electromagnetics (Artech House, Norwood, 2001)Google Scholar
  2. D.A. McNamara, C.W.I. Pistorius, J.A.G. Malherbe, Introduction to the Uniform Geometrical Theory of Diffraction. Antennas and Propagation Library (Artech House, Norwood, 1990)Google Scholar
  3. P. Monk, A finite element method for approximating the time-harmonic Maxwell equations. Numer. Math. 63 (1), 243–261 (1992)MathSciNetCrossRefzbMATHGoogle Scholar
  4. Z. Peng, J.-F. Lee, Non-conformal domain decomposition method with second-order transmission conditions for time-harmonic electromagnetics. J. Comput. Phys. 229 (16), 5615–5629 (2010)CrossRefzbMATHGoogle Scholar
  5. Y. Saad, M.H. Schultz, GMRES: a generalized minimal residual algorithm for solving nonsymmetric linear systems. SIAM J. Sci. Stat. Comput. 7 (3), 856–869 (1986)MathSciNetCrossRefzbMATHGoogle Scholar
  6. S.A. Schelkunoff, Some equivalence theorems of electromagnetics and their application to radiation problems. Bell Syst. Tech. J. 15 (1), 92–112 (1936)CrossRefzbMATHGoogle Scholar
  7. T. Weiland, A discretization model for the solution of Maxwell’s equations for six-component fields. Archiv fuer Elektronik Uebertragungstechnik 31, 116–120 (1977)Google Scholar

Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  1. 1.CST – Computer Simulation Technology AGDarmstadtGermany

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