A Rapid and Versatile Scheme for Decoupled Electromagnetic Potential with Perfect Electric Conductor

We present a fast and geometrically flexible approach to solve electromagnetic (EM) potential by imposing Lorenz gauge condition. Our scheme is implicit, linear-time, high-order, A-stable, and works based on the method of lines transpose (MOLT) approach. It first discretizes in time and operates space by averaging the Laplacian. The integration is successively convolved with a free-space Green's function using a fast-recursive compact Simpson's quadrature based algorithm
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. Specifically, our studies cover the experiments of EM potential behaviors in perfect electric conductor (PEC) structure.