Numerical verification method for positive solutions of elliptic problems

研究成果: Article査読

1 被引用数 (Scopus)

抄録

The purpose of this paper is to propose methods for verifying the positivity of a weak solution u of an elliptic problem assuming H0 1-error estimation ‖u−uˆ‖H0 1 ≤ρ given some numerical approximation uˆ and an explicit error bound ρ. We provide a sufficient condition for the solution to be positive and analyze the range of application of our method for elliptic problems with polynomial nonlinearities. We present numerical examples where our method is applied to some important problems.

本文言語English
論文番号112647
ジャーナルJournal of Computational and Applied Mathematics
370
DOI
出版ステータスPublished - 2020 5 15

ASJC Scopus subject areas

  • 計算数学
  • 応用数学

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