Afternote to "Coupling at a Distance": Convergence Analysis and A Priori Error Estimates

Nestor Sánchez, Tonatiuh Sánchez-Vizuet, Manuel E. Solano

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

In their article "Coupling at a distance HDG and BEM", Cockburn, Sayas and Solano proposed an iterative coupling of the hybridizable discontinuous Galerkin method (HDG) and the boundary element method (BEM) to solve an exterior Dirichlet problem. The novelty of the numerical scheme consisted of using a computational domain for the HDG discretization whose boundary did not coincide with the coupling interface. In their article, the authors provided extensive numerical evidence for convergence, but the proof of convergence and the error analysis remained elusive at that time. In this article we fill the gap by proving the convergence of a relaxation of the algorithm and providing a priori error estimates for the numerical solution.

Original languageEnglish (US)
Pages (from-to)945-970
Number of pages26
JournalComputational Methods in Applied Mathematics
Volume22
Issue number4
DOIs
StatePublished - Oct 1 2022

Keywords

  • Boundary Element Method (BEM)
  • Coupling HDG-BEM
  • Curved Interface
  • Hybridizable Discontinuous Galerkin (HDG)
  • Transfer Path Method

ASJC Scopus subject areas

  • Numerical Analysis
  • Computational Mathematics
  • Applied Mathematics

Fingerprint

Dive into the research topics of 'Afternote to "Coupling at a Distance": Convergence Analysis and A Priori Error Estimates'. Together they form a unique fingerprint.

Cite this