Conformal Dual Basis Functions on Curvilinear Quadrilaterals for Calderon Preconditioning of Surface Integral Equations

2019 ◽  
Author(s):  
Kubilay Sertel
Keyword(s):  
Integral Equations ◽  
Basis Functions ◽  
Dual Basis ◽  
Surface Integral ◽  
Surface Integral Equations

Solution of volume-surface integral equations using higher-order hierarchical Legendre basis functions

Radio Science ◽  
2007 ◽  
Vol 42 (4) ◽  
pp. n/a-n/a ◽  
Author(s):  
O. S. Kim ◽  
P. Meincke ◽  
O. Breinbjerg ◽  
E. Jørgensen
Keyword(s):  
Integral Equations ◽  
Higher Order ◽  
Basis Functions ◽  
Surface Integral ◽  
Surface Integral Equations

scholarly journals Applying Loop-Flower Basis Functions to Analyze Electromagnetic Scattering Problems of PEC Scatterers

2014 ◽  
Vol 2014 ◽  
pp. 1-9 ◽  
Author(s):  
Gaobiao Xiao
Keyword(s):  
Integral Equations ◽  
Electromagnetic Scattering ◽  
Basis Functions ◽  
Surface Integral ◽  
Scattering Problems ◽  
Low Frequencies ◽  
Electrically Conducting ◽  
Surface Integral Equations

This paper discusses the application of loop-flower basis functions for solving surface integral equations involved in electromagnetic scattering problems on perfectly electrically conducting surfaces. Flower-shaped basis functions are proposed to replace the conventional star basis functions. The flower basis functions are defined based on mesh nodes instead of surface triangles. It is shown that the loop-flower basis functions not only can be used to handle the electromagnetic scattering problems at very low frequencies, but also can be directly used to implement Calderon preconditioners for EFIEs.

On the Dual Basis for Solving Electromagnetic Surface Integral Equations

2009 ◽  
Vol 57 (10) ◽  
pp. 3136-3146 ◽  
Author(s):  
Mei Song Tong ◽  
Weng Cho Chew ◽  
B.J. Rubin ◽  
J.D. Morsey ◽  
Lijun Jiang
Keyword(s):  
Integral Equations ◽  
Dual Basis ◽  
Surface Integral ◽  
Surface Integral Equations
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