Several novel TDFEMs based on different temporal basis functions and applications of UWB antennas

This paper studied several novel time-domain finite element methods(TDFEMs), unlike the reported method, cubic B-spline functions and second-order Lagrange interpolation functions are introduced as temporal basis functions. The motivation behind the research of the methods was utilize their good interpolation features and straightward computation. Based on Galerkin´s method our algorithms are applied to the second-order vector wave equation form of Maxwell´s equations. Section 2 and 3 started with a short review of the derivation of time-domain finite element methods formulation and obtained fully discretized systems with the aforementioned temporal basis functions in order to match stable conditions. Finally, numerical results demonstrated the validity of the novel methods. Because Sierpinski fractal antennas have potential application to ultrawide-band (UWB) communications, the new methods were applied to a multiband bowtie-shaped Sierpinski antenna and comparison with the single bowtie antenna through time domain and frequent domain FEM simulation shown that the bowtie-shaped Sierpinski antenna performed better than the conventional bowtie for UWB purposes.