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A Hermite Cubic Immersed Finite Element Space for Beam Design Problems

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dc.contributor.authorWang, Tzin Shaunen
dc.contributor.committeechairLin, Taoen
dc.contributor.committeememberSun, Shu-Mingen
dc.contributor.committeememberRussell, David L.en
dc.contributor.departmentMathematicsen
dc.date.accessioned2014-03-14T20:37:21Zen
dc.date.adate2005-05-24en
dc.date.available2014-03-14T20:37:21Zen
dc.date.issued2005-04-28en
dc.date.rdate2005-05-24en
dc.date.sdate2005-05-17en
dc.description.abstractThis thesis develops an immersed finite element (IFE) space for numerical simulations arising from beam design with multiple materials. This IFE space is based upon meshes that can be independent of interface of the materials used to form a beam. Both the forward and inverse problems associated with the beam equation are considered. The order of accuracy of this IFE space is numerically investigated from the point of view of both the interpolation and finite element solution of the interface boundary value problems. Both single and multiple interfaces are considered in our numerical simulation. The results demonstrate that this IFE space has the optimal order of approximation capability.en
dc.description.degreeMaster of Scienceen
dc.identifier.otheretd-05172005-180620en
dc.identifier.sourceurlhttp://scholar.lib.vt.edu/theses/available/etd-05172005-180620/en
dc.identifier.urihttp://hdl.handle.net/10919/32911en
dc.publisherVirginia Techen
dc.relation.haspartThesisFinalVersion.pdfen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectFinite element methoden
dc.subjectImmersed Finite element methoden
dc.subjectInterface Problemen
dc.subjectDiscontinuous Coefficienten
dc.subjectInverse Problemen
dc.subjectEuler-Bernoulli Beamen
dc.titleA Hermite Cubic Immersed Finite Element Space for Beam Design Problemsen
dc.typeThesisen
thesis.degree.disciplineMathematicsen
thesis.degree.grantorVirginia Polytechnic Institute and State Universityen
thesis.degree.levelmastersen
thesis.degree.nameMaster of Scienceen

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