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### Variational Convergence of IP-DGFEM

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 t...

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Publication date:
2007-04-05
URN:
Local pid:
oai:eprints.maths.ox.ac.uk:1092