@techreport{NA-07/10,
  abstract = "In this paper, we develop the theory required to perform a variational convergence analysis for discontinuous Galerkin nite element methods when applied to minimization problems. For Sobolev indices in $\left[1;\infty\right)$, we prove generalizations of many techniques of classical analysis in Sobolev spaces and apply them to a typical energy minimization problem for which we prove convergence of a variational interior penalty discontinuous Galerkin nite element method (VIPDGFEM). Our main tool in this analysis is a theorem which allows the extraction of a \weakly" converging subsequence of a family of discrete solutions and which shows that any \weak limit" is a Sobolev function.",
  author = "Annalisa Buffa and Christoph Ortner",
  institution = "Oxford University Computing Laboratory",
  month = "April",
  number = "NA-07/10",
  title = "Variational Convergence of IP-DGFEM",
  year = "2007",
}