@article{9057,
  author = {Mats Larson and Andre Massing},
  title = {L^2 Error Estimates for Finite Element Approximations of Boundary Fluxes},
  abstract = {We prove quasi-optimal a priori error estimates for finite element approximations of boundary normal fluxes in the L 2 -norm. Our results are valid for a variety of different schemes for weakly enforcing Dirichlet boundary conditions including Nitsche{\textquoteright}s method, and Lagrange multiplier methods. The proof is based on an error representation formula that is derived by using a discrete dual problem with L 2 -Dirichlet boundary data and combines a weighted discrete stability estimate for the dual problem with anisotropic interpolation estimates in the boundary zone.},
  year = {2015},
  journal = {journal},
  pages = {1-16},
  publisher = {publisher},
}