File Download

There are no files associated with this item.

  Links for fulltext
     (May Require Subscription)
Supplementary

Article: Asymptotic analysis for elliptic equations with small perturbations on domains in high-contrast medium

TitleAsymptotic analysis for elliptic equations with small perturbations on domains in high-contrast medium
Authors
KeywordsAsymptotic analysis
interface problem
high-contrast ratio
two-parameter expansion
Issue Date2019
PublisherIOS Press. The Journal's web site is located at https://www.iospress.nl/journal/asymptotic-analysis/
Citation
Asymptotic Analysis, 2019, Epub 2019-09-23 How to Cite?
AbstractWe provide a comprehensive study on the asymptotic solutions of an interface problem corresponding to an elliptic partial differential equation with Dirichlet boundary condition and transmission condition, subject to the small geometric perturbation and/or the high contrast ratio of the conductivity. All asymptotic terms can be solved in the unperturbed reference domains, which significantly reduces computations in practice, especially for random perturbations. Our setting is quite general and allows two types of elliptic problems: the perturbation of the domain boundary where the Dirchlet condition is imposed and the perturbation of the interface where the transmission condition is imposed. As the perturbation size and the ratio of the conductivities tends to zero, the two-parameter asymptotic expansions on the reference domain are derived to any order after the single parameter expansions are solved beforehand. The results suggest the emergence of the Neumann or Robin boundary condition, depending on the relation of the two asymptotic parameters. Our method is the classic asymptotic analysis techniques but in a new unified approach to both problems.
Persistent Identifierhttp://hdl.handle.net/10722/278191
ISSN
2019 Impact Factor: 0.682
2015 SCImago Journal Rankings: 0.694

 

DC FieldValueLanguage
dc.contributor.authorChen, J-
dc.contributor.authorLin, L-
dc.contributor.authorZhang, Z-
dc.contributor.authorZhou, X-
dc.date.accessioned2019-10-04T08:09:14Z-
dc.date.available2019-10-04T08:09:14Z-
dc.date.issued2019-
dc.identifier.citationAsymptotic Analysis, 2019, Epub 2019-09-23-
dc.identifier.issn0921-7134-
dc.identifier.urihttp://hdl.handle.net/10722/278191-
dc.description.abstractWe provide a comprehensive study on the asymptotic solutions of an interface problem corresponding to an elliptic partial differential equation with Dirichlet boundary condition and transmission condition, subject to the small geometric perturbation and/or the high contrast ratio of the conductivity. All asymptotic terms can be solved in the unperturbed reference domains, which significantly reduces computations in practice, especially for random perturbations. Our setting is quite general and allows two types of elliptic problems: the perturbation of the domain boundary where the Dirchlet condition is imposed and the perturbation of the interface where the transmission condition is imposed. As the perturbation size and the ratio of the conductivities tends to zero, the two-parameter asymptotic expansions on the reference domain are derived to any order after the single parameter expansions are solved beforehand. The results suggest the emergence of the Neumann or Robin boundary condition, depending on the relation of the two asymptotic parameters. Our method is the classic asymptotic analysis techniques but in a new unified approach to both problems.-
dc.languageeng-
dc.publisherIOS Press. The Journal's web site is located at https://www.iospress.nl/journal/asymptotic-analysis/-
dc.relation.ispartofAsymptotic Analysis-
dc.subjectAsymptotic analysis-
dc.subjectinterface problem-
dc.subjecthigh-contrast ratio-
dc.subjecttwo-parameter expansion-
dc.titleAsymptotic analysis for elliptic equations with small perturbations on domains in high-contrast medium-
dc.typeArticle-
dc.identifier.emailZhang, Z: zhangzw@hku.hk-
dc.identifier.authorityZhang, Z=rp02087-
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.3233/ASY-191571-
dc.identifier.scopuseid_2-s2.0-85093839856-
dc.identifier.hkuros306346-
dc.identifier.volumeEpub 2019-09-23-
dc.publisher.placeNetherlands-

Export via OAI-PMH Interface in XML Formats


OR


Export to Other Non-XML Formats