The continuous Galerkin method is locally conservative. Hughes, T‥., Engel, G., Mazzei, L., & Larson, M‥ Journal of Computational Physics, 163(2):467--488, Elsevier, 2000.
bibtex   
@article{ hughes2000continuous,
  title = {{The continuous Galerkin method is locally conservative}},
  author = {Hughes, T.J.R. and Engel, G. and Mazzei, L. and Larson, M.G.},
  journal = {Journal of Computational Physics},
  volume = {163},
  number = {2},
  pages = {467--488},
  issn = {0021-9991},
  year = {2000},
  publisher = {Elsevier}
}

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