Hybridized Discontinuous Galerkin Method with Lifting Operator

Issei Oikawa

Hybridized Discontinuous Galerkin Method with Lifting Operator

Numerical Analysis 2013-10-23 v1

Authors: Issei Oikawa

Abstract

In this paper, we propose a new hybridized discontinuous Galerkin method for the Poisson equation with homogeneous Dirichlet boundary condition. Our method has the advantage that the stability is better than the previous hybridized method. We derive $L^2$ and $H^1$ error estimates of optimal order. Some numerical results are presented to verify our analysis.

Keywords

discontinuous galerkin method discontinuous galerkin methods galerkin methods

Cite

@article{arxiv.1310.5838,
  title  = {Hybridized Discontinuous Galerkin Method with Lifting Operator},
  author = {Issei Oikawa},
  journal= {arXiv preprint arXiv:1310.5838},
  year   = {2013}
}

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