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Mathematics
Differential Equations
Finding the weak form of an eq. with DG elements (finite elements)
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[QUOTE="fluidistic, post: 6846667, member: 122352"] I am sorry, I am in a rush right now to give you a more elaborated reply. V needs not be continuous. If you place 2 materials next to each other, I can assure you that there will be an electrical resistance across the interface (as well as a thermal resistance, by the way, so the temperature profile isn't continuous either). There is nothing shocking if E is infinite with Maxwell equations, take the E field of a point charge where the charge lies, or the one of a charged infinitely thin wire, right at the wire. Again, I have no problem deriving.the correct weak form of the eq. I deal with in the case of continuous elements (i.e. what you did, and from memory I think you either got it or got pretty close). But that's not what I wish to achieve. [/QUOTE]
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Finding the weak form of an eq. with DG elements (finite elements)
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