I did my specialization project at Norwegian University of Science and Technology under the supervision of André Massing.
The goal of the thesis was to
- State the issues that arise when solving the biharmonic equation
- Derive the continuous penalty method method based on the work done by Gu`s PhD Dissertation
- Derive stability and apriori estimates.
- Verify the estimates numerically.
The thesis should be digestible for graduate students with basic knowledge within finite element methods and numerical analysis.