Multi-Trace Integral Equation For The Vector Potential

Paul Olyslager, Hendrik Rogier, Kristof Cools · 2024

A global multi-trace Poggio-Miller-Chang-Harrington-Wu-Tsai (PMCHWT)-like method for the vector potential in scattering and transmission problems involving multi-domain structures potentially containing multi-material junctions is proposed. The system is discretized with Rao-Wilton-Glisson elements for the vector traces, first order Lagrange elements for the normal trace and piecewise constant functions for the divergence trace. Representative configurations are simulated, which all show a monotonic decrease in the error when the mesh becomes denser.

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