Toward The Design Of Preconditioners For The Global Multi-Trace Integral Equation For The Vector Potential

A Calderón preconditioner for the global multi-trace PMCHWT-like formulation based on the vector potential is presented. The technique is applicable on multi-domain structures containing multi-material junctions comprising both PEC and homogeneous domains. The PEC structures are simulated with EFIE-like or MFIE-like techniques. The MFIE-like equations are tested with test functions defined on the dual mesh to obtain low frequency stable results. A domain diagonal, a trace-type diagonal and a rescaled diagonal preconditioner are compared, which all show an iteration count independent on the mesh density for a global multi-trace example.