A non-symmetric coupling of the finite volume method and the boundary element method

Christoph Erath, Günther Of, Francisco Javier Sayas

Research output: Contribution to journalArticleResearchpeer-review

Abstract

As model problem we consider the prototype for flow and transport of a concentration in porous media in an interior domain and couple it with a diffusion process in the corresponding unbounded exterior domain. To solve the problem we develop a new non-symmetric coupling between the vertex-centered finite volume and boundary element method. This discretization provides naturally conservation of local fluxes and with an upwind option also stability in the convection dominated case. We aim to provide a first rigorous analysis of the system for different model parameters; stability, convergence, and a priori estimates. This includes the use of an implicit stabilization, known from the finite element and boundary element method coupling. Some numerical experiments conclude the work and confirm the theoretical results.

Original languageEnglish
Pages (from-to)895-922
Number of pages28
JournalNumerische Mathematik
Volume135
Issue number3
DOIs
Publication statusPublished - 2017

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ASJC Scopus subject areas

  • Applied Mathematics
  • Computational Mathematics

Fields of Expertise

  • Information, Communication & Computing

Treatment code (Nähere Zuordnung)

  • Basic - Fundamental (Grundlagenforschung)

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