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Boundary integral equations are the principal tools for efficiently simulating electromagnetic fields in structures with piecewise constant material parameters. A specific trait of boundary integral equations is that the Green function of the Helmholtz equation appears as the integration kernel. Hence, discretizing a boundary integral equation leads to a dense linear system. Many such acceleration...
The iterative solution of integral equations containing the Green function of the Helmholtz equation as the integration kernel requires repeated matrix-vector products. These products can be accelerated by means of a so-called fast multipole method (FMM). Of the many fast multipole methods in use today, the multilevel fast multipole algorithm (MLFMA) is arguably among the most successful ones. It...
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