2002 | OriginalPaper | Chapter
Domain Decomposition Methods for Time-Harmonic Maxwell Equations: Numerical Results
Authors : Ana Alonso Rodríguez, Alberto Valli
Published in: Recent Developments in Domain Decomposition Methods
Publisher: Springer Berlin Heidelberg
Included in: Professional Book Archive
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We present a series of numerical results illustrating the performance of some non-overlapping domain decomposition algorithms for time-harmonic Maxwell equations in different physical situations. For the full-Maxwell equations with damping we consider the well-known Dirichlet/Neumann and Neumann/Neumann methods. Numerical evidence will show that both schemes are convergent with a rate independent of the mesh size. For the low-frequency model in a conductor, we consider again the Dirichlet/Neumann and the Neumann/Neumann algorithms. Both methods turn out to be efficient and robust. Finally, for the eddy-current problem, we implement an iterative procedure coupling a scalar problem in the insulator and a vector problem in the conductor.