[Dune] [#870] volume() is not precise for non-affine geometries

[Dune]

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FS#870 - volume() is not precise for non-affine geometries
User who did this - Martin Nolte (nolte)

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Of course the integral could be computed up to machine precision. The only drawback is that it is slow as hell and, as far as I can see, we'd need an adaptive quadrature.

What about the following suggestion: The semantics of volume remain as they are and we explicitly state that this method might be extremely expensive. We compensate the lack of performance by a method approximateVolume (appropriate name to be found) that takes a template argument specifying the order (with respect to grid width) of error that is acceptable. In the case of an explicit Finite Volume scheme, an approximation order of 1 would be appropriate and I guess it could be computed by the midpoint rule for faces of an arbitrary hexahedron.

I further suggest to mark this a known issue in the upcoming release and thoroughly discuss this before changing anything (developer meeting?).
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