GPU-accelerated time-domain marching-onin- degree solution

A marching-on-in-degree (MOD) method accelerated by graphics processing units has been developed to solve the time-domain electric-field integral equation for the analysis of transient electromagnetic scattering problems. With the use of weighted Laguerre polynomials as entire-domain temporal basis functions and the Galerkin temporal testing procedure, the MOD algorithm overcomes the late-time instability. Two matrix-division schemes are proposed and an asynchronous approach based on streams in CUDA is adopted to accelerate the TDEFIE-MOD algorithm. Numerical results reveal that the computational efficiency of the proposed algorithm is greatly enhanced.