[Vino]

Hi,

I know that FVM satisfies conservation laws at each Control volume level. Also FVM can handle discontinuous solution (like shock waves) in case of compressible flow.

I would like to know,

1) Does FEM satisfy conservation laws at each element level? or It satisfies conservation globally?

2) As far as i know, FEM needs continuity of the solution variables, then how does it work for flow field with shock, there will be a discontinuity in variables across the shock...?

3)Can DG-FEM handle discontinuity in the solution variable?