ubc
A posteriori error estimation for non-linear eigenvalue problems for differential operators of second order with focus on 3D vertex singularities
2006-05-07
[Electronic ed.]
prv
Universitätsbibliothek Chemnitz
Universitätsbibliothek Chemnitz, Chemnitz
Fakultät für Mathematik
female
Karl-Marx-Stadt
male
male
male
This thesis is concerned with the finite element
analysis and the a posteriori error estimation for
eigenvalue problems for general operator pencils on
two-dimensional manifolds.
A specific application of the presented theory is the
computation of corner singularities.
Engineers use the knowledge of the so-called singularity
exponents to predict the onset and the propagation of
cracks.
All results of this thesis are explained for two model
problems, the Laplace and the linear elasticity problem,
and verified by numerous numerical results.
510
Eigenwertproblem
Fehlerabschätzung
Interpolation
Interpolationsoperator
Singularität <Mathematik>
Clement-type interpolation
a posteriori error estimation
corner singularities
non-linear eigenvalue problems
spectral theory
two-dimensional manifolds
unit sphere
urn:nbn:de:swb:ch1-200600805
3-8325-1249-7
Technische Universität Chemnitz
dgg
Technische Universität Chemnitz, Chemnitz
Logos Verlag Berlin
pbl
Logos Verlag Berlin, Chemnitz
Cornelia
Pester
Dipl.-Math.
2006-07-08
aut
Thomas
Apel
Professor
dgs
rev
Arnd
Meyer
Professor
rev
Serge
Nicaise
Professor
rev
eng
2005-11-25
2006-04-21
born digital
doctoral_thesis