Higher Order Large-Domain Hierarchical FEM Technique for Electromagnetic Modeling Using Legendre Basis Functions on Generalized Hexahedra

REFERENCES

• Abramowitz , M. and Stegun , C. A. , eds. 1996 . Handbook of mathematical formulas, graphs and mathematical tables , New York : Dover .
   Google Scholar
• Andersen , L. S. and Volakis , J. L. 1999 . Condition numbers for various FEM matrices . J. Electromagnetic Waves Appl. , 13 : 1663 – 1679 . [CSA]
   Web of Science ®Google Scholar
• Djordjević , M. and Notaroš , B. M. 2003 . Higher-order hierarchical basis functions with improved orthogonality properties for moment-method modeling of metallic and dielectric microwave structures . Microwave Optical Technol. Lett. , 37 : 83 [CSA] [CROSSREF]
   Web of Science ®Google Scholar
• Djordjević , M. and Notaroš , B. M. 2004 . Double higher order method of moments for surface integral equation modeling of metallic and dielectric antennas and scatterers . IEEE Trans. Ant. Propagat. , AP-52 : 2118 – 2129 . [CSA]
   Web of Science ®Google Scholar
• Graglia , R. D. , Wilton , D. R. and Peterson , A. F. 1997 . Higher order interpolatory vector bases for computational electromagnetics . IEEE Trans. Ant. Propagat. , AP-45 : 329 – 342 . [CSA] [CROSSREF]
   Web of Science ®Google Scholar
• Ilić , M. M. and Notaroš , B. M. 2003 . Higher order hierarchical curved hexahedral vector finite elements for electromagnetic modeling . IEEE Trans. Microwave Theory Tech. , MTT-51 : 1026 – 1033 . [CSA]
   Web of Science ®Google Scholar
• Jørgensen , E. , Volakis , J. L. , Meincke , P. and Breinbjerg , O. 2004 . Higher order hierarchical Legendre basis functions for electromagnetic modeling . IEEE Trans. Ant. Propagat. , AP-52 : 2985 – 2995 . [CSA]
   Web of Science ®Google Scholar
• MacPhie , R. L. and Wu , K. L. 2001 . A full-wave modal analysis of inhomogeneous waveguide discontinuities with both planar and circular cylindrical boundaries . IEEE Trans. Microwave Theory Tech. , MTT-49 : 1132 – 1136 . [CSA] [CROSSREF]
   Web of Science ®Google Scholar
• Notaroš , B. M. and Popović , B. D. 1996 . General entire-domain method for analysis of dielectric scatterers . IEE Proc. Microwaves, Ant. Propagat. , 143 ( 6 ) : 498 – 504 . [CSA] [CROSSREF]
   Google Scholar
• Stupfel , B. 2004 . A study of the condition number of various finite element matrices involved in the numerical solution of Maxwell's equations . IEEE Trans. Ant. Propagat. , AP-52 : 3048 – 3059 . [CSA] [CROSSREF]
   Web of Science ®Google Scholar
• Webb , J. P. 1999 . Hierarchical vector basis functions of arbitrary order for triangular and tetrahedral finite elements . IEEE Trans. Ant. Propagat. , AP-47 : 1244 – 1253 . [CSA] [CROSSREF]
   Web of Science ®Google Scholar