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A preconditioned GMRES for complex dense linear systems from electromagnetic wave scattering problems

2006
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Linear Algebra and its Applications
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We consider the numerical solution of linear systems arising from the discretization of the electric field integral equation (EFIE). For some geometries the associated matrix can be poorly conditioned making the use of a preconditioner mandatory to obtain convergence. The electromagnetic scattering problem is here solved by means of a preconditioned GMRES in the context of the multilevel fast multipole method (MLFMM). The novelty of this work is the construction of an approximate hierarchically

doi:10.1016/j.laa.2005.11.022
fatcat:nbnnnabtfndn7fgoakcqzoboci