I know that in FVM, it is possible to show that a discretisation scheme is conservative by adding the discrete terms over a few control volumes and showing that all terms cancel apart from those relating to the flux in and out of the entire domain. I'm not sure what happens in FEM? My thoughts are: for instance for a 1D case where there are two neighbouring elements sharing a node, and hence 4 equations exists for a 3-element grid, one adds the relevant terms from the 4 equations to see which terms cancel out and which remain in the end. Am I right?Thank you.
Is it possible to show global conservative properties FEM as it is done in FVM?
finite element;finite volume;discretization;numerical modelling;conservation