Stability and error estimates for the successive-projection technique with B-splines in time

Yuki Ueda, Norikazu Saito

研究成果: Article査読

1 被引用数 (Scopus)

抄録

We study the successive projection technique with B-splines proposed by Takizawa and Tezduyar in 2014 (Computational Mechanics, vol. 53). The projection is considered for X-valued functions with a Banach space X. Stability and error estimates in the L (0,T;X) norm are studied for B-spline basis functions of degree p=1,2,3,4. The quasi-uniformity of partition is always assumed and the projection is stable if p=1. We prove that, for p=2,3,4, the uniformity of partition is a sufficient condition for stability to hold. Furthermore, we infer from numerical experiments that stability holds at least for p=5,6,7. We also prove the error estimate using the spline-preserving property of the projector if the projection is stable.

本文言語English
ページ(範囲)266-278
ページ数13
ジャーナルJournal of Computational and Applied Mathematics
358
DOI
出版ステータスPublished - 2019 10 1
外部発表はい

ASJC Scopus subject areas

  • Computational Mathematics
  • Applied Mathematics

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