TY - EJOU
AU - Sebold, J. E.
AU - Lacerda, L. A.
AU - Carrer, J. A. M.
TI - Construction of an Edge Finite Element Space and a Contribution to the Mesh Selection in the Approximation of the Second Order Time Harmonic Maxwell System
T2 - Computer Modeling in Engineering \& Sciences
PY - 2014
VL - 103
IS - 2
SN - 1526-1506
AB - This work is concerned with the development of the so-called Whitney and Nédélec edge finite element method for the solution of the time-harmonic Maxwell equations. Initially, the second order time harmonic Maxwell systems, as well as their variational formulation, are presented. In the sequence, Whitney and Nédélec element spaces, whose functions present continuous tangential components along the interface are built of adjacent elements. Then, numerical experiments validate the performance of Whitney and Nédélec first order elements in a two-dimensional domain. The discrete dispersion relation for the elements shows that the numerical phase velocity can be used as an error estimator. Consequently, it becomes possible to define an initial parameter to the mesh refinement that, by its turn, can make the phase difference negligible.
KW - Numerical Methods in Engineering
KW - Finite elements
KW - Maxwell equations
KW - Wave Propagation
KW - Computational Electromagnetism
DO - 10.3970/cmes.2014.103.111