Surface Based Differential Forms

J. Pingenot, Chaunyi Yang, V. Jandhyala, N. Champagne, D. White, M. Stowell, R. Rieben, R. Sharpe, N. Madsen, B.J. Fasenfest, J.D. Rockway
IEEE/ACES International Conference on Wireless Communications and Applied Computational Electromagnetics, 2005.  
Higher-order basis functions have been constructed for surface-based differential forms that are used in engineering simulations. These surface-based forms have been designed to complement the volume-based forms present in EMSolve[1], a finite element code. The basis functions are constructed on a reference element and transformed, as necessary, for each element in space. Lagrange polynomials are used to create the basis functions. This approach is a necessary step in creating a hybrid
more » ... ement/integral-equation time-domain code for electromagnetic analysis.
doi:10.1109/wcacem.2005.1469683 fatcat:cq3p33h2iver3gz3bv3he7xbam