Homogenisation of parabolic/hyperbolic media

Research output: Contribution to book/conference proceedings/anthology/reportConference contributionContributedpeer-review

Contributors

Abstract

We consider an evolutionary problem with rapidly oscillating coefficients. This causes the problem to change frequently between a parabolic and a hyperbolic state. We prove convergence of the homogenisation process in the unit square and present a numerical method to deal with approximations of the resulting equations. A numerical study finalises the contribution.

Details

Original languageEnglish
Title of host publicationBoundary and Interior Layers, Computational and Asymptotic Methods, BAIL 2018
EditorsGabriel R. Barrenechea, John Mackenzie
PublisherSpringer Open
Pages215-229
Number of pages15
ISBN (print)9783030417994
Publication statusPublished - 2020
Peer-reviewedYes

Conference

TitleInternational Conference on Boundary and Interior Layers, BAIL 2018
Duration18 - 22 June 2018
CityGlasgow
CountryUnited Kingdom

External IDs

ORCID /0000-0002-2458-1597/work/142239724