Title : 
Higher-order curved div-conforming elements with loop-star subspaces decomposition for Surface Integral Equation
         
        
        
            Author_Institution : 
Dipt. de Electromagnetismo y Teor. de Circuitos, Univ. Politec. de Madrid, Madrid, Spain
         
        
        
        
        
        
            Abstract : 
An useful method to develop div-conforming elements for the Surface Integral Equation is presented. This procedure, throughout the theorem of trace, transforms the Helmholtz decomposition for electromagnetic fields into a Hodge decomposition for the surface currents. Then, a scheme to obtain mixed and/or complete order elements for being used in the Method of Moments is achieved.
         
        
            Keywords : 
Helmholtz equations; electromagnetic fields; electromagnetic wave propagation; integral equations; Helmholtz decomposition; Hodge decomposition; electromagnetic fields; higher order curved divconforming elements; loop star subspaces decomposition; method of moments; surface currents; surface integral equation; Antennas; Finite element analysis; Integral equations; Matrix decomposition; Surface impedance; Vectors; Helmholtz decomposition; div-conforming elements;
         
        
        
        
            Conference_Titel : 
Antennas and Propagation (EuCAP), 2014 8th European Conference on
         
        
            Conference_Location : 
The Hague
         
        
        
            DOI : 
10.1109/EuCAP.2014.6901972