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We present a hierarchical basis preconditioning strategy for the Poggio–Miller–Chang–Harrington–Wu–Tsai (PMCHWT) integral equation considering both simply and multiply connected geometries. To this end, we first consider the direct application of hierarchical basis preconditioners, developed for the electric field integral equation (EFIE), to the PMCHWT. It is notably found that, whereas for the EFIE...
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