To develop this discrete electromagnetic theory with DEC, an appropriate discrete treatment of wedge product [11,18] is crucial.
In Section 3, we define the discrete wedge product between primal k-cochain and dual (n - k)-cochain in n-D space.
In exterior calculus, wedge product is used to construct higher degree forms from lower degree ones.
In this paper, we only need to introduce a discrete treatment of wedge product between a primal cochain and its corresponding dual cochain, which was described briefly in .
Next we would like to show this treatment of discrete wedge product is rigorous under local constant field assumption on arbitrary 2-D surfaces.
Moreover, we can also consider the integration of E x H on a 2-D surface, which is not necessarily a plane, as a wedge product
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