Finite element method with damping control multi-step methods approach to one boundary value problem for the wave equation.

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dc.contributor.authorLeandry, Leonce
dc.date.accessioned2019-08-17T09:05:38Z
dc.date.available2019-08-17T09:05:38Z
dc.date.issued2016
dc.descriptionDissertation (MSc Mathematics)en_US
dc.description.abstractOver the previous years finite element method (FEM) has become a powerfully tool to approximate solution of differential equations and prove their existence. The purpose of this research is to introduce and describe a number of the finite element method (FEM) technique applied to problems for partial differential equations (PDEs) with special attentions to the hyperbolic problems in case of wave and damped wave equations. Another aim is to study the one boundary value problem (BVP) for the wave equation and apply damping control multi-step methods integrated into the FEM such as the Newmark method, Backward difference method (BDF) and Hilber-Hughes-Taylor Method (HHT). The ordinary differential equation (ODE) system obtained after applying FEM are then solved by these multi-step methods, where by the BDF-Method and the HHT-Method are second order precision, unconditionally stable and able to dissipate high-modes for some values of the parameters.en_US
dc.identifier.citationLeandry, L. (2016). Finite element method with damping control multi-step methods approach to one boundary value problem for the wave equation. Dodoma: The University of Dodoma.en_US
dc.identifier.urihttp://hdl.handle.net/20.500.12661/722
dc.publisherThe University of Dodomaen_US
dc.subjectDamped wave equationen_US
dc.subjectDamping control multi-step methodsen_US
dc.subjectHyperbolic problemsen_US
dc.subjectPartial differential equationen_US
dc.subjectFinite element method techniqueen_US
dc.subjectWave equation problemen_US
dc.subjectOne boundary value problemen_US
dc.titleFinite element method with damping control multi-step methods approach to one boundary value problem for the wave equation.en_US
dc.typeDissertationen_US
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