English

An improved a priori error analysis of Nitsche's method for Robin boundary conditions

Numerical Analysis 2019-04-03 v2

Abstract

In a previous paper [6] we have extended Nitsche's method [8] for the Poisson equation with general Robin boundary conditions. The analysis required that the solution is in H^s, with s > 3/2. Here we give an improved error analysis using a technique proposed by Gudi [5].

Keywords

Cite

@article{arxiv.1502.06515,
  title  = {An improved a priori error analysis of Nitsche's method for Robin boundary conditions},
  author = {Nora Lüthen and Mika Juntunen and Rolf Stenberg},
  journal= {arXiv preprint arXiv:1502.06515},
  year   = {2019}
}