In this work we analyse the 1D strongly damped wave equation from the analytical and numerical point of view. This equation arises from the equation of motion of the string pendulum in the vertical position. An approach to solve the equation numerically by using the finite elements in space and time is presented. This employs the discontinuous Galerkin (dG(q), q=0,1) or continuous Galerkin method in time and piecewise linear or Hermite cubic elements in space. The advantages and difficulties of the proposed discretisation methods are discussed. We also prove the existence and uniquence of the continuous as well as the discrete solution.<br />The main focus is on ways to estimate the quantity of interest such are the error in the energy norm and the dissipative term, by use of the energy, dual and goal-oriented techniques. Most of the derived results are verified on examples.
de
dc.language
English
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dc.language.iso
en
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dc.rights.uri
http://rightsstatements.org/vocab/InC/1.0/
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dc.subject
Faden
de
dc.subject
Pendel
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dc.subject
Modell
de
dc.subject
Wellengleichung
de
dc.subject
Starke Dämpfung
de
dc.subject
Numerisches Verfahren
de
dc.title
Numerical analysis of the 1D satellite beam equation
en
dc.type
Thesis
en
dc.type
Hochschulschrift
de
dc.rights.license
In Copyright
en
dc.rights.license
Urheberrechtsschutz
de
dc.contributor.affiliation
TU Wien, Österreich
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dc.rights.holder
Jelena Bojanic
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tuw.version
vor
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tuw.thesisinformation
Technische Universität Wien
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dc.contributor.assistant
Praetorius, Dirk
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tuw.publication.orgunit
E101 - Institut für Analysis und Scientific Computing