Hybridized discontinuous Galerkin method with lifting operator

• Oikawa Issei

  Graduate School of Mathematical Sciences, The University of Tokyo

抄録

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.

収録刊行物

• JSIAM Letters

  JSIAM Letters 2 (0), 99-102, 2010

  一般社団法人 日本応用数理学会

キーワード

• discontinuous Galerkin method
• hybridized method
• error analysis

詳細情報

• CRID: 1390282680276274432
• NII論文ID: 130000433640
• DOI: 10.14495/jsiaml.2.99
• ISSN: 18830617
• ISSN: 18830609
• Web Site: https://www.jstage.jst.go.jp/article/jsiaml/2/0/2_0_99/_pdf
• 本文言語コード: en
• データソース種別:
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• 抄録ライセンスフラグ: 使用不可