Recent content by jgoddard

  1. J

    Graduate Inverse/Anti - Divergence? Maxwells Eqns.

    Or, possibly, differential forms and representations based on the Helmholtz-Hodge decomposition...
  2. J

    Graduate Inverse/Anti - Divergence? Maxwells Eqns.

    Nobody said it was unique. As pointed out in my article, it is unique up to a solenoidal field. More mathematically put, we are finding a particular solution to a linear PDE whose general solutions involves an additive homogeneous solution. By the same token, there is no unique inverse to...
  3. J

    Graduate Inverse/Anti - Divergence? Maxwells Eqns.

    I have written a recent paper on this, which shows how to construct a (non-unique) tensor field whose divergence is equal to a tensor density of one rank less. See Section 4 of International Journal of Engineering Science 49 (2011) 1486–1493. Joe Goddard