A GENERALIZED TREE-COTREE GAUGE FOR MAGNETIC-FIELD COMPUTATION

The discretization of the magnetostatic curl-curl equation using edge-based elements results in a singular matrix equation. As has been shown previously, this matrix may be made nonsingular by eliminating the matrix nullspace. A generalization of this process is presented in this paper that does not require setting field quantities to zero, thus allowing the gauge in vector potential solutions to be set in a more natural way. This process also makes it possible to solve for the electric or magnetic field directly in high frequency applications.