Term thesis

Main folder of the Term Thesis of Lukas Scheucher at Technical University of Munich.

This thesis was done with supervisation from the Institute of Applied Mechanics .

Topic

This thesis deals with adaptive precondtitioned FETI methods.
The objective was to to analyze the properties of so-called adaptive multi-preconditioned conjugate gradient methods in the FETI context, as well as the derivation of appropriate adaption criteria.
Special focus was put on the properties of the algorithms for numerically challenging problems such as heterogeneities or near-incompressibility.

Thesis

The final thesis was written in LaTeX. It can be found in the subfolder thesis

All figures used in this thesis are listed here .

Numerical Studies

All numerical studies carried out can be found in the subfolder studies .

Every study has been put in a seperate folder.
Studies have been carried out with the following objectives:
- Eigenvaule distribution
- Influence of heterogeneities
- Influence of partitioning schemes
- Algortithm properties under incompressiblity
- Algorithm properties under the presence of inclusions
- Choice of a proper contraction factor

FEMAC

For the purpose of this thesis a general purpose Finite Elment code was written in Matlab( FEMAC ). The version used for the calculations of this thesis is provided in the subfolder FEMAC .
For access to the current active git repository, please contact [email protected] .

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