Hybridized discontinuous Galerkin method with lifting operator

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概要

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• 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.

• The Japan Society for Industrial and Applied Mathematicsの論文

著者

• Oikawa Issei

  Graduate School of Mathematical Sciences, The University of Tokyo

関連論文

• Remarks on numerical integration of $L^1$ norm
• Discontinuous Galerkin FEM of hybrid type
• Hybridized discontinuous Galerkin method with lifting operator

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