Title :
Parasite-free 3D finite element vector boundary-value solutions on C/sup 0/ elements
Author :
Paulsen, K.D. ; Lynch, D.R. ; Jia, X.
Author_Institution :
Thayer Sch. of Eng. Dartmouth Coll., Hanover, NH, USA
Abstract :
Initial evidence is presented which supports the parasite-free nature of a specified Helmholtz-based weak form in three dimensions. This weak form is recommended for finite-element solution of electric field problems. Representative results are shown for a simple 3-D spherical geometry where completely erroneous results occur when the double-curl equation is discretized on C/sup 0 /physically correct solutions result when the proposed weak form is used on the same mesh.<>
Keywords :
boundary-value problems; electric fields; electromagnetic field theory; finite element analysis; vectors; C/sup 0/ elements; electric field problems; parasite 3D finite element vector boundary-value solutions; specified Helmholtz-based weak form; Algebra; Boundary conditions; Dispersion; Educational institutions; Equations; Finite element methods; Geometry; Nonhomogeneous media; Physics computing; Reliability engineering;
Conference_Titel :
Antennas and Propagation Society International Symposium, 1991. AP-S. Digest
Conference_Location :
London, Ontario, Canada
Print_ISBN :
0-7803-0144-7
DOI :
10.1109/APS.1991.175067