Recent content by jgoddard
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J
Graduate Inverse/Anti - Divergence? Maxwells Eqns.
Or, possibly, differential forms and representations based on the Helmholtz-Hodge decomposition...- jgoddard
- Post #8
- Forum: Electromagnetism
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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...- jgoddard
- Post #6
- Forum: Electromagnetism
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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- jgoddard
- Post #4
- Forum: Electromagnetism