Title :
The physical meaning of the Sobolev norm in error estimation
Author :
Davis, Clayton P. ; Warnick, Karl F.
Author_Institution :
Dept. of Electr. & Comput. Eng., Brigham Young Univ., Provo, UT, USA
Abstract :
Error estimates for the moment method have been obtained in terms of Sobolev norms of the current solution. Motivated by the historical relationship of Sobolev norms to measures of energy, we conjecture that the Sobolev norm is equivalent to a norm induced by the forward scattering amplitude, and prove this for the case of TM-polarized fields incident on a PEC circular cylinder.
Keywords :
conducting bodies; electromagnetic fields; electromagnetic wave polarisation; electromagnetic wave scattering; error analysis; method of moments; PEC circular cylinder; Sobolev norm; TM-polarized fields; energy measures; error estimation; forward scattering amplitude; moment method; Computational electromagnetics; Computer errors; Electromagnetic scattering; Electromagnetic wave polarization; Energy measurement; Engine cylinders; Error analysis; Frequency estimation; Moment methods; Surface waves;
Conference_Titel :
Antennas and Propagation Society International Symposium, 2004. IEEE
Print_ISBN :
0-7803-8302-8
DOI :
10.1109/APS.2004.1332104
