Norms of discrete trace functions of H 1(Ω) and H 2(Ω)

Jinchao Xu, Shuo Zhang

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


This paper discusses the constructive and computational presentations of several non-local norms of discrete trace functions of H 1(Ω) and H 2(Ω) defined on the boundary or interface of an unstructured grid. We transform the nonlocal norms of trace functions to local norms of certain functions defined on the whole domain by constructing isomorphic extension operators. A unified approach is used to explore several typical examples. Additionally, we also discuss exactly invertible Poincaré-Steklov operators and their discretization. © 2012 Institute of Mathematics, NAS of Belarus.
Original languageEnglish (US)
Pages (from-to)500-512
Number of pages13
JournalComputational Methods in Applied Mathematics
Issue number4
StatePublished - Oct 1 2012
Externally publishedYes

Bibliographical note

Generated from Scopus record by KAUST IRTS on 2023-02-15

ASJC Scopus subject areas

  • Numerical Analysis
  • Computational Mathematics
  • Applied Mathematics


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