Title :
Use of barycentric dual grids for the solution of frequency domain problems by FIT
Author :
Codecasa, Lorenzo ; Minerva, Vito ; Politi, Marco
Author_Institution :
Dipt. di Elettronica e Informazione, Politecnico di Milano, Milan, Italy
fDate :
3/1/2004 12:00:00 AM
Abstract :
In this paper, the finite integration technique for the approximation of three-dimensional electromagnetic boundary value problems in the frequency domain is formulated for primal grids composed of either oblique parallelepipeds or oblique triangular prisms or tetrahedra, adopting as dual grid the barycentric subdivision of the primal one. Novel constitutive relations are in particular derived assuring solution matrices of symmetric and positive definite type.
Keywords :
approximation theory; boundary-value problems; computational electromagnetics; differential equations; finite element analysis; frequency-domain analysis; integration; FIT; approximation; barycentric dual grids; barycentric subdivision; constitutive relations; dual grid; electromagnetic boundary value problems; finite integration technique; frequency domain problems; oblique parallelepipeds; oblique triangular prisms; primal grids; Boundary value problems; Electromagnetic fields; Frequency domain analysis; Helium; Integral equations; Magnetic fields; Magnetic flux; Maxwell equations; Numerical stability; Symmetric matrices;
Journal_Title :
Magnetics, IEEE Transactions on
DOI :
10.1109/TMAG.2004.824547
