An HDG Method with Orthogonal Projections in Facet Integrals

Issei Oikawa

研究成果: Article査読

1 被引用数 (Scopus)

抄録

We propose and analyze a new hybridizable discontinuous Galerkin (HDG) method for second-order elliptic problems. Our method is obtained by inserting the (Formula presented.)-orthogonal projection onto the approximate space for a numerical trace into all facet integrals in the usual HDG formulation. The orders of convergence for all variables are optimal if we use polynomials of degree (Formula presented.), (Formula presented.) and k, where k and l are any non-negative integers, to approximate the vector, scalar and trace variables, which implies that our method can achieve superconvergence for the scalar variable without postprocessing. Numerical results are presented to verify the theoretical results.

本文言語English
ページ(範囲)1-11
ページ数11
ジャーナルJournal of Scientific Computing
DOI
出版ステータスAccepted/In press - 2018 1 19

ASJC Scopus subject areas

  • ソフトウェア
  • 理論的コンピュータサイエンス
  • 工学(全般)
  • 計算理論と計算数学

フィンガープリント

「An HDG Method with Orthogonal Projections in Facet Integrals」の研究トピックを掘り下げます。これらがまとまってユニークなフィンガープリントを構成します。

引用スタイル