Higher order hierarchical H(curl) Legendre basis functions applied in the finite element method: emphasis on microwave circuits
In this paper a set of higher order hierarchical H(curl) Legendre basis functions is introduced as a basis in the two and three dimensional finite element method (FEM). The basis functions are divided into three different sets: edge functions, surface functions and interior functions. Two problems are addressed in order to study the $p$-convergence of the representation. In the first problem the e