Coupling requirements for well posed and stable multi-physics problems

Jan Nordström, Fatemeh Ghasemi

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

We discuss well-posedness and stability of multi-physics problems by studying a model problem. By applying the energy method, boundary and interface conditions are derived such that the continuous and semi-discrete problem are well-posed and stable. The numerical scheme is implemented using high order finite difference operators on summation-by-parts (SBP) form and weakly imposed boundary and interface conditions. Numerical experiments involving a spectral analysis corroborate the theoretical findings.

Original languageEnglish
Title of host publicationCOUPLED PROBLEMS 2015 - Proceedings of the 6th International Conference on Coupled Problems in Science and Engineering
EditorsBernhard A. Schrefler, Eugenio Onate, Manolis Papadrakakis
PublisherInternational Center for Numerical Methods in Engineering
Pages464-476
Number of pages13
ISBN (Electronic)9788494392832
Publication statusPublished - 1 Apr 2015
Externally publishedYes
Event6th International Conference on Computational Methods for Coupled Problems in Science and Engineering, COUPLED PROBLEMS 2015 - Venice, Italy
Duration: 18 May 201520 May 2015

Publication series

NameCOUPLED PROBLEMS 2015 - Proceedings of the 6th International Conference on Coupled Problems in Science and Engineering

Conference

Conference6th International Conference on Computational Methods for Coupled Problems in Science and Engineering, COUPLED PROBLEMS 2015
Country/TerritoryItaly
CityVenice
Period18/05/1520/05/15

Keywords

  • Coupling procedure
  • High order finite differences
  • Multi-physics problem
  • Stability
  • Summation-by-parts operatorsm
  • Weak interface conditions
  • Well posed problems

ASJC Scopus subject areas

  • Computational Mathematics
  • General Engineering
  • Applied Mathematics

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