Numerical Analysis of Algorithms for Infinitesimal Associated and Non-Associated Elasto-Plasticity
Abstract:
The thesis studies nonlinear solution algorithms for problems in
infinitesimal elastoplasticity and their numerical realization within
a parallel computing framework. New algorithms like Active Set and
Augmented Lagrangian methods are proposed and analyzed within a
semismooth Newton setting. The analysis is often carried out in
function space which results in stable algorithms. Large scale
computer experiments demonstrate the efficiency of the new algorithms.
infinitesimal elastoplasticity and their numerical realization within
a parallel computing framework. New algorithms like Active Set and
Augmented Lagrangian methods are proposed and analyzed within a
semismooth Newton setting. The analysis is often carried out in
function space which results in stable algorithms. Large scale
computer experiments demonstrate the efficiency of the new algorithms.
| Zugehörige Institution(en) am KIT | Institut für Angewandte und Numerische Mathematik (IANM) |
| Publikationstyp | Hochschulschrift |
| Publikationsjahr | 2010 |
| Sprache | Englisch |
| Identifikator | urn:nbn:de:swb:90-195510 KITopen-ID: 1000019551 |
| Verlag | Karlsruher Institut für Technologie (KIT) |
| Art der Arbeit | Dissertation |
| Fakultät | Fakultät für Mathematik (MATH) |
| Institut | Institut für Angewandte und Numerische Mathematik (IANM) |
| Prüfungsdaten | 30.06.2010 |
| Schlagwörter | Numerical Analysis, Elastoplasticity, Semismooth Newton, Augmented Lagrange, Active Set, Finite Elements, Parallel Computing, Mathematical Modeling |
| Referent/Betreuer | Wieners, C. |