Resolvent estimates and numerical implementation for the homogenisation of one‐dimensional periodic mixed type problems

Sebastian Franz, Marcus Waurick

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

We study a homogenisation problem for problems of mixed type in the framework of evolutionary equations. The change of type is highly oscillatory. The numerical treatment is done by a discontinuous Galerkin method in time and a continuous Galerkin method in space.
LanguageEnglish
Number of pages11
JournalZAMM, Zeitschrift fur angewandte mathematik und mechanik
Early online date26 Mar 2018
DOIs
Publication statusE-pub ahead of print - 26 Mar 2018

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Resolvent Estimates
Galerkin methods
Homogenization
Discontinuous Galerkin Method
Galerkin Method
Framework

Keywords

  • evolutionary equations
  • fluid-structure model
  • homogenisation
  • numerical approximation

Cite this

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title = "Resolvent estimates and numerical implementation for the homogenisation of one‐dimensional periodic mixed type problems",
abstract = "We study a homogenisation problem for problems of mixed type in the framework of evolutionary equations. The change of type is highly oscillatory. The numerical treatment is done by a discontinuous Galerkin method in time and a continuous Galerkin method in space.",
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AU - Waurick, Marcus

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AB - We study a homogenisation problem for problems of mixed type in the framework of evolutionary equations. The change of type is highly oscillatory. The numerical treatment is done by a discontinuous Galerkin method in time and a continuous Galerkin method in space.

KW - evolutionary equations

KW - fluid-structure model

KW - homogenisation

KW - numerical approximation

UR - https://onlinelibrary.wiley.com/journal/15214001

UR - https://arxiv.org/abs/1711.08640

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