Title : 
Efficient spanning trees for a high-order edge element T-Ψ eddy current formulation
         
        
            Author : 
Midtgard, Ole-Morten ; Nilssen, Robert
         
        
            Author_Institution : 
Norwegian Univ. of Sci. & Technol., Trondheim, Norway
         
        
        
        
        
            fDate : 
9/1/1998 12:00:00 AM
         
        
        
        
            Abstract : 
The use of spanning trees is discussed for a high-order hexahedral edge element method, for a source field computation method, and for the voltage forcing method. The first represents a generalization of the co-tree gauge, the second represents an efficient method for finding source fields, and for the voltage forcing method, it is demonstrated that a source field found using the right spanning tree results in a large reduction in CPU-time for solving the main (eddy current) equation system
         
        
            Keywords : 
eddy currents; finite element analysis; trees (mathematics); T-Ψ eddy current; co-tree gauge; high-order hexahedral edge element; source field computation; spanning tree; voltage forcing method; Boundary conditions; Current density; Eddy currents; Finite element methods; Inductance; Integral equations; Magnetic flux; Permeability; Testing; Voltage;
         
        
        
            Journal_Title : 
Magnetics, IEEE Transactions on