—The third-order version of Nédélec's first family of curl-conforming elements over simplices is presented. Following the definition of the element given by Nédélec, the third-order vector basis functions are deduced. The elements thus obtained exhibit some important differences with respect to other higher-order curl-conforming elements appeared in the… (More)
Finite element hp-adaptivity is a technology that allows for very accurate numerical solutions. When applied to open region problems (as for radar cross section prediction or antenna analysis), a mesh truncation method needs to be used. In this paper, a comparison between the following mesh truncation methods, together with hp-adaptivity, is made: infinite… (More)
A convergence study of a non-standard Schwarz domain decomposition method for finite element mesh truncation in electromagnetics has been carried out. The original infinite domain is divided into two overlapping domains. The interior finite domain is modeled by finite elements and the exterior infinite domain by an integral equation representation of the… (More)
—A novel hybrid Finite Element Method and High Frequency Technique for the efficient analysis of scattering and radiation problems is presented. Results of the analysis of two-dimensional scattering and radiation problems using Physical Optics as the high frequency technique are given showing some of the features of the method. 940 Gómez-Revuelto et al.
A novel hybrid finite-element method (FEM) and high-frequency technique (HFT) for the efficient analysis of scattering and radiation problems is presented. The proposed hybrid method makes use of an iterative FEM for open-region problems that allows easy hybridization with other numerical techniques. The results of its application to 3D radiation problems… (More)
This paper analyses numerically the electric field distribution of a liquid contained in a Petri dish when exposed to electromagnetic waves excited in a rectangular waveguide. Solutions exhibit high-gradients due to the presence of the dielectric liquid contained in the dish. Furthermore, electromagnetic fields within the dielectric have a dramatically… (More)
—In this paper, a fully automatic goal-oriented hp-adaptive finite element strategy for open region electromagnetic problems (radiation and scattering) is presented. The methodology leads to exponential rates of convergence in terms of an upper bound of an user-prescribed quantity of interest. Thus, the adaptivity may be guided to provide an optimal error,… (More)