We analyze the error in thep version of the of the finite element method when the effect of the quadrature error is taken in the load vector. We briefly study some results on theH1 norm error and present some new results for the error in theL2 norm. We investigate the quadrature error due to the numerical integration of the right hand side We present theoretical and computational examples showing the sharpness of our results.
I. Babuška, B. Guo, and M. Suri.Implementation of non-homogeneous Dirichlet boundary conditions in the p-version of the finite element method. Impact of Computing in Science and Engineering1 (1989), 36–63.MATHCrossRefGoogle Scholar