Multiscale system-level electromagnetic simulations<br/><br/><br/><br/>
We will present our recent work in solving realistic multiscale system-level EM design simulation problems in both frequency domain and time domain. In frequency domain, we combine the spectral element method for coarse scales and finite element method for fine scales with a fast spectral integral method. In time domain, we hybridize the spectral element time-domain method and finite-element time-domain method together with the perfectly matched layer, with explicit and implicit time integration schemes for different subdomains. The discontinuous Galerkin method is used as the subdomain interface condition. In time domain, we further incorporate a nonlinear circuit solver, making it possible to perform nonlinear circuit simulation with RF interactions in a seamless manner. Several previously intractable multiscale problems will be illustrated.