Transfer function approach to output specification in certain linear distributed parameter systems

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dc.contributorVirginia Techen
dc.contributor.authorJohnson, Harry L.en
dc.contributor.authorRussell, David L.en
dc.contributor.departmentMathematicsen
dc.date.accessed2014-05-09en
dc.date.accessioned2014-05-14T13:23:40Zen
dc.date.available2014-05-14T13:23:40Zen
dc.date.issued2003en
dc.description.abstractWe carry out error estimation of a class of immersed finite element (IFE) methods for elliptic interface problems with both perfect and imperfect interface jump conditions. A key feature of these methods is that their partitions can be independent of the location of the interface. These quadratic IFE spaces reduce to the standard quadratic finite element space when the interface is not in the interior of any element. More importantly, we demonstrate that these IFE spaces have the optimal (slightly lower order in one case) approximation capability expected from a finite element space using quadratic polynomials.en
dc.identifier.citationJohnson, H. L.; Russell, D.L., "Transfer function approach to output specification in certain linear distributed parameter systems," Discrete and Continuous Dynamical Systems 26(4), 1153-1184, (2010); http://www.aimsciences.org/journals/displayPaperPro.jsp?paperID=1635en
dc.identifier.issn1078-0947en
dc.identifier.urihttp://hdl.handle.net/10919/47974en
dc.identifier.urlhttp://www.aimsciences.org/journals/displayPaperPro.jsp?paperID=1635en
dc.language.isoen_USen
dc.publisherAmerican Institute of Mathematical Sciencesen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectellipticen
dc.subjectinterfaceen
dc.subjectjump conditionen
dc.subjectimmersed finite element methoden
dc.subjecterror estimatesen
dc.subjectequationsen
dc.subjectapproximationen
dc.subjectSimulationen
dc.subjectspaceen
dc.subjectconvergenceen
dc.subjectformulationen
dc.subjectmathematics, applieden
dc.titleTransfer function approach to output specification in certain linear distributed parameter systemsen
dc.title.serialDiscrete and Continuous Dynamical Systemsen
dc.typeArticle - Refereeden

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