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Article: Multiscale tailored finite point method for second order elliptic equations with rough or highly oscillatory coefficients

TitleMultiscale tailored finite point method for second order elliptic equations with rough or highly oscillatory coefficients
Authors
KeywordsElliptic
Multiple scales
Rough coefficients
Tailored finite point method (TFPM)
Equations
Maximum principle
Issue Date2012
Citation
Communications in Mathematical Sciences, 2012, v. 10, n. 3, p. 945-976 How to Cite?
AbstractWe develop a multiscale tailored finite point method (MsTFPM) for second order elliptic equations with rough or highly oscillatory coefficients. The finite point method has been tailored to some particular properties of the problem, so that it can capture the multiscale solutions using coarse meshes without resolving the fine scale structure of the solution. Several numerical examples in one-and two-dimensions are provided to show the accuracy and convergence of the proposed method. In addition, some analysis results based on the maximum principle for the one-dimensional problem are proved. © 2012 International Press.
Persistent Identifierhttp://hdl.handle.net/10722/219667
ISSN
2015 Impact Factor: 1.198
2015 SCImago Journal Rankings: 1.039

 

DC FieldValueLanguage
dc.contributor.authorHan, Houde-
dc.contributor.authorZhang, Zhiwen-
dc.date.accessioned2015-09-23T02:57:40Z-
dc.date.available2015-09-23T02:57:40Z-
dc.date.issued2012-
dc.identifier.citationCommunications in Mathematical Sciences, 2012, v. 10, n. 3, p. 945-976-
dc.identifier.issn1539-6746-
dc.identifier.urihttp://hdl.handle.net/10722/219667-
dc.description.abstractWe develop a multiscale tailored finite point method (MsTFPM) for second order elliptic equations with rough or highly oscillatory coefficients. The finite point method has been tailored to some particular properties of the problem, so that it can capture the multiscale solutions using coarse meshes without resolving the fine scale structure of the solution. Several numerical examples in one-and two-dimensions are provided to show the accuracy and convergence of the proposed method. In addition, some analysis results based on the maximum principle for the one-dimensional problem are proved. © 2012 International Press.-
dc.languageeng-
dc.relation.ispartofCommunications in Mathematical Sciences-
dc.subjectElliptic-
dc.subjectMultiple scales-
dc.subjectRough coefficients-
dc.subjectTailored finite point method (TFPM)-
dc.subjectEquations-
dc.subjectMaximum principle-
dc.titleMultiscale tailored finite point method for second order elliptic equations with rough or highly oscillatory coefficients-
dc.typeArticle-
dc.description.natureLink_to_subscribed_fulltext-
dc.identifier.scopuseid_2-s2.0-84861759181-
dc.identifier.volume10-
dc.identifier.issue3-
dc.identifier.spage945-
dc.identifier.epage976-
dc.identifier.eissn1945-0796-

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