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

Jinchao Xu, Shuo Zhang

Research output: Contribution to journalReview article

1 Scopus citations

Abstract

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.

Original languageEnglish (US)
Pages (from-to)500-512
Number of pages13
JournalComputational Methods in Applied Mathematics
Volume12
Issue number4
DOIs
StatePublished - Oct 1 2012

All Science Journal Classification (ASJC) codes

  • Numerical Analysis
  • Computational Mathematics
  • Applied Mathematics

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