The Discrete Steklov-Poincaré Operator Using Algebraic Dual Polynomials

Yi Zhang*, Varun Jain, Artur Palha, Marc Gerritsma

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

4 Citations (Scopus)

Abstract

In this paper, we will use algebraic dual polynomials to set up a discrete Steklov-Poincaré operator for the mixed formulation of the Poisson problem. The method will be applied in curvilinear coordinates and to a test problem which contains a singularity. Exponential convergence of the trace variable in H 1 / 2 {H^{1/2}} -norm will be shown.

Original languageEnglish
Pages (from-to)645-661
JournalComputational Methods in Applied Mathematics
Volume19
Issue number3
DOIs
Publication statusPublished - 2019

Keywords

  • Dual Approximation in Trace Spaces
  • Hybrid Finite Element Method
  • Spectral Elements,Domain Decomposition
  • Steklov-Poincaré Operator

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