Title :
Scale Factors and Matrix Conditioning Associated With Triangular-Cell Hierarchical Vector Basis Functions
Author :
Peterson, Andrew F. ; Graglia, Roberto D.
Author_Institution :
Sch. of Electr. & Comput. Eng., Georgia Inst. of Technol., Atlanta, GA, USA
fDate :
7/2/1905 12:00:00 AM
Abstract :
Several families of hierarchical vector basis functions for triangular cells are reviewed, and the matrix condition numbers associated with their use are compared. Scale factors are introduced to optimize the linear independence of each set and are shown to provide substantial improvement for most families.
Keywords :
boundary-elements methods; electromagnetic field theory; finite element analysis; method of moments; boundary elements; electromagnetics; finite element methods; linear independence; matrix conditioning; moment methods; triangular-cell hierarchical vector basis functions; Basis functions; boundary elements; finite element methods; moment methods;
Journal_Title :
Antennas and Wireless Propagation Letters, IEEE
DOI :
10.1109/LAWP.2010.2042423
