Title :
Differential forms basis functions for better conditioned integral equations
Author :
Fasenfest, Benjamin J. ; White, Dan ; Stowell, Mark ; Rieben, Rob ; Sharpe, Rob ; Madsen, Niel ; Rockway, John D. ; Champagne, Nathan J. ; Jandhyala, Vikram ; Pingenot, James
Author_Institution :
Lawrence Livermore Nat. Lab., CA, USA
Abstract :
Discretized differential-forms basis functions were formulated and implemented for surface integral equation problems. Making the degrees of freedom scale invariant with element size leads to better conditioning of the system matrix for both electrostatic and frequency-domain scattering problems on meshes with a large variation in patch size.
Keywords :
S-matrix theory; electromagnetic wave scattering; electrostatics; integral equations; differential-forms basis functions; electrostatics; frequency-domain scattering problems; meshes; patch size variation; surface integral equation; system matrix conditioning; Computational modeling; Differential equations; Electrostatics; Finite element methods; Integral equations; Laboratories; Lagrangian functions; Physics computing; Polynomials; Testing;
Conference_Titel :
Antennas and Propagation Society International Symposium, 2005 IEEE
Print_ISBN :
0-7803-8883-6
DOI :
10.1109/APS.2005.1552646
