Some remarks on the optimal L2 error estimates for the finite element method on the L-shaped domain

Takehiko Kinoshita, Mitsuhiro T. Nakao

研究成果: Conference contribution

抄録

In the a priori L2 error analysis of the finite element method (FEM), the Aubin-Nitsche trick is often used. Usually, the convergence order of the L2 error estimates by the Aubin-Nitsche trick is one order higher than the H0 1 error estimates. As is well known, the convergence order obtained by this technique depends on the shape of the domain because it is dependent on the regularity of solutions for the associated dual problem on the same domain. In this paper, we introduce a technique for getting the optimal order L2 error estimates on the L-shaped domain without Aubin-Nitsche trick. From the numerical evidence based on the guaranteed computations, we could still expect that such a domain dependency is not essential.

本文言語English
ホスト出版物のタイトルProceedings of the 2013 10th International Conference on Information Technology
ホスト出版物のサブタイトルNew Generations, ITNG 2013
ページ173-178
ページ数6
DOI
出版ステータスPublished - 2013
外部発表はい
イベント2013 10th International Conference on Information Technology: New Generations, ITNG 2013 - Las Vegas, NV, United States
継続期間: 2013 4 152013 4 17

Other

Other2013 10th International Conference on Information Technology: New Generations, ITNG 2013
国/地域United States
CityLas Vegas, NV
Period13/4/1513/4/17

ASJC Scopus subject areas

  • 情報システム

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