Adaptive mesh refinement, h-version, for solving multiport microwave devices in three dimensions

This paper describes the performance of a novel adaptive mesh refinement, AMR, procedure. The AMR procedure proposed here is based on h-version mesh refinement strategy. The novelty of the current approach is the new refinement index derived from an error functional that is based upon the S parameters for the multiport microwave devices. Moreover, the index consists of, from the physical insights of the error functional, two terms: the contributions from residual charges and residual currents. The performance of this novel procedure for various numerical examples, in terms of accuracy in S parameters, are compared with the theoretical rate of convergence. The conclusion drawn from these examples is that the newly proposed mesh refinement index is very effective and accurate in locating regions for refinement. Consequently, it results in a very efficient h-version adaptive mesh refinement procedure.